Gambar Sampul Fisika · Bab 8 Listrik Dinamis
Fisika · Bab 8 Listrik Dinamis
Dudi Indrajit

24/08/2021 14:18:42

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A. Arus Listrikdan MuatanB. Hukum Ohmdan HambatanC. Rangkaian Seridan ParalelD. Hukum IIKirchhoffE. Sumber ArusSearah dariProses KimiawiF. Tegangan ListrikSearah dan Bolak-BalikListrik Dinamis#0;0< 70@8 B830: <4=9038 70<10B0= 1068 <0AF0@0:0B :>B0 C=BC:<4;0:C:0= 0:B8D8B0A=F0 0; 8=8 38A4101:0= ?4=4@0=60= ;0<?C;0<?C3870<?8@A4<C0AC3CB:>B0AC307B4@?0A0=6"0<?C;0<?C8=8<4@C?0:0=2>=B>7?4@0;0B0=30;0<:4783C?0=A470@870@8F0=6<4<0=500B:0=4=4@68;8AB@8: A4B4;07 38C107 <4=9038 4=4@68 2070F0 "0;C 10608<0=0 4=4@68;8AB@8: 8=8 30?0B <4=F0;0:0= ;0<?C =30 0:0= <4<?4;090@8=F0 ?030101 8=830 3C0 94=8A 0@CA ;8AB@8: F08BC 0@CA ;8AB@8: 1>;0:10;8:  *2#0,2',%300#,230=0@CA;8AB@8:A40@07'0#!2300#,2&0300@CA;8AB@8: 1>;0:10;8: <C0B0= ;8AB@8: <4=60;8@ 30;0< 3C0 0@07 1>;0:10;8:30?C= ?030 0@CA ;8AB@8: A40@07 <C0B0= ;8AB@8: 70=F0 <4=60;8@ 30;0<A0BC0@07>=B>7?4@0;0B0=;8AB@8:F0=6<4=66C=0:0=0@CAA40@07F08BC:0;:C;0B>@0#+-2#!-,20-* 90< 30= ;0<?C A4=B4@ &030 101 8=8 0:0=38?4;090@8 0@CA ;8AB@8: A40@07 )430=6:0= 0@CA ;8AB@8: 1>;0:10;8: 0:0=38?4;090@8 ;4187 10=F0: 38 :4;0A .169memformulasikan besaran-besaran listrik rangkaian tertutup sederhana (satu loop);mengidentifikasi penerapan listrik AC dan DC dalam kehidupan sehari-hari;menggunakan alat ukur listrik.Setelah mempelajari bab ini, Anda harus mampu:menerapkan konsep kelistrikan dalam berbagai penyelesaian masalah dan berbagaiproduk teknologi.Hasil yang harus Anda capai:Nyala lampu pada malam hari, selain berfungsi sebagai peneranganjuga menjadi bagian dari keindahan kota.Bab8Sumber: Young Scientist,1994
170Mudah dan Aktif Belajar Fisika untuk Kelas X/ 2A. Arus Listrik dan Muatan8 )#& =30 B4;07 <4<?4;090@8 :>=A4? :C0B 0@CA 30= B460=60=;8AB@8:&0301018=8=300:0=:4<10;8<4<?4;090@8=F0;4187<4=30;0<?0:07 0@CA ;8AB@8: 8BC 0608<0=0 7C1C=60==F0 34=60= B460=60=;8AB@8: 0608<0=0 =30 <4=64B07C8 14A0@=F0 0@CA ;8AB@8: F0=6 <4=60;8@30;0<AC0BC@0=6:080=B4@BCBC?+=BC:<4=90E01?4@B0=F00=?4@B0=F00=B4@A41CB ?4;090@8 AC1101 8=8 34=60= A0:A0<01.Pengertian Arus Listrik 031*'120')030;07*'0,+32,*'120')1#2'.1#*,%4)232#02#,230;0<AC0BC ?4=670=B0@ <C0B0= F0=6 <4=60;8@ 030;07 4;4:B@>=4;4:B@>=F0=61410A 14@64@0: &@>A4A 0;8@0= 0@CA ;8AB@8: <8@8? 34=60= 0;8@0= ?0=0A 30@8AC0BC14=3014@AC7CB8=668:414=3014@AC7C;4187@4=307;8@0=?0=0A0:0=14@74=B8A4B4;07:43C0AC7C14=30B4@A41CBA0<0A4B8<10=6B4@<0;0;0< 0;8@0= ;8AB@8: 9C60 34<8:80= 98:0 :43C0 B8B8: B4;07 <4<8;8:8B460=60= A0<0 0;8@0= <C0B0= 0:0= 14@74=B8@07 ?4@64@0:0= 4;4:B@>= 14@;0E0=0= 34=60= 0@07 0@CA ;8AB@8: ?4@70B8:0=#.$#20;0<A41C07?4=670=B0@A4AC=66C7=F0?4<10E0<C0B0= ;8AB@8: 030;07 4;4:B@>= -0;0C?C= 34<8:80= B4;07 38A4?0:0B8107E0 0@07 0@CA ;8AB@8: 14@;0E0=0= 34=60= 0@07 64@0: 4;4:B@>=#C0B0= ;8AB@8: 70=F0 0:0= <4=60;8@ 30;0< @0=6:080= B4@BCBC? &030@0=6:080= B4@BCBC? A4?4@B8 ?030#.$#2  0:0= B4@9038 1430 ?>B4=A80;0=B0@0 :43C0 C9C=6 ?4=670=B0@ 430 ?>B4=A80; 8=8;07 F0=6 <4=F4101:0=<C0B0= ;8AB@8: <4=60;8@ B4@9038 0@CA ;8AB@8:2.Kuat Arus Listrik32031*'120')383458=8A8:0=A410608 ,6),6+32,*'120')6,%+#,%*'0"*+1323.#,%&,201#2'.123123,4)23)420@0<0B4<0B8A38BC;8A:0= A410608 14@8:CBK Gambar 8.2Arus listrik akan mengalir dalamrangkaian tertutup.!4B8:07C90=;410BB4@9038:8;0B30=B4@34B4:A80@CA;8AB@8:A414A0@ :8;>0<?4@4<4=60;8@30;0<E0:BC  <8;8A4:>=8BC=6<C0B0=F0=638?8=307:0=30@80E0=14@<C0B0=;8AB@8::4C<8?030A00B8BC#7#$8:4B07C8  2  A /2<0:0/2Contoh 8.1eeeeIeIeIIIsumber teganganGambar 8.1Arah arus listrik (I)dan arah elektron (e) berlawanan arah.&$&-5..&.1&-#+#2*,0/3&1*342*,*/#.*3,&2+#,#/-#)30#-30#-$&2*,54%#-#.$5,5-#4*)#/Tes Kompetensi Awal ?0:070@0764@0:0@CA;8AB@8:A40@0734=60=0@0764@0:4;4:B@>= 4;0A:0=90E010==30 0@8?>B4=A80;<0=0:4?>B4=A80;<0=0:070@CA;8AB@8:<4=60;8@ *C;8A:0=;0750:B>@50:B>@F0=6<4<4=60@C7814A0@=F0AC0BC70<10B0=?4=670=B0@ #4=60?0 D>;B<4B4@ 30;0< AC0BC @0=6:080= 70@CA38?0A0=6A420@0?0@0;4;*C;8A:0=;07  2>=B>7 AC<14@ B460=60= ;8AB@8: F0=6=30:4B07C8
171Listrik DinamisGambar 8.3Mengukur kuat arus listrik3.Mengukur Kuat Arus+=BC: <4=6C:C@ :C0B 0@CA ;8AB@8: 30;0< AC0BC @0=6:080= ;8AB@8:386C=0:0=0<?4@4<4B4@0B0C0<<4B4@&4=6C:C@0=0@CA;8AB@8:30;0<AC0BC?4=670=B0@ 30?0B 38;0:C:0= 34=60= 20@0 <4=67C1C=6:0= 0;0B C:C@0@CA;8AB@8: 0<?4@4<4B4@ A420@0 A4@8 A4?4@B8 ?030#.$#2 0@0 <4<1020 A:0;0 0<?4@4<4B4@ 030;07 A410608 14@8:CB0A8; ?4=6C:C@0= A:0;0F0=638BC=9C:L10B0AC:C@A:0;0<0:A8<C<K @058:14@8:CB<4=C=9C::0=:C0B0@CAF0=6<4=60;8@30;0<AC0BC@0=6:080=B4@BCBC?4@30A0@:0=6@058:B4@A41CBB4=BC:0=10=F0:=F0<C0B0=;8AB@8:F0=6<4=60;8@30;0<@0=6:080=A4;0<0A?4@B0<030;0<A0BC0=2>C;C<1#7#$I0@82 A0<?082 A38?4@>;472 K  A0@CA?030A4;0=6E0:BC8=814@B0<107A420@0;8=40@$8;08@0B0@0B0=F0030;07A41060814@8:CB8;01>@0B>@8C<A4:>;07180A0=F0386C=0:0=0<?4@4<4B4@C=BC:<4=6C:C@:C0B0@CA&030AC0BC?4=6C:C@0=0@CA;8AB@8:3830?0B30B0A4?4@B838BC=9C::0=?03060<10@14@8:CB*4=BC:0=70A8;?4=6C:C@0=0<?4@4<4B4@B4@A41CBContoh 8.2Contoh 8.30202     C<;07<C0B0==F0/  2  AI0@82 AA0<?082A38?4@>;472AK A A@CA?030A4;0=6E0:BC8=8B4B0?  C<;07<C0B0==F0/ 2  A  0389C<;07<C0B0=F0=6<4=60;8@<4;0;C8@0=6:080=A4;0<0A030;07// /  4.Mengukur Beda Potensial+=BC:<4=6C:C@14A0@1430?>B4=A80;0B0CB460=60=380=B0@0C9C=6C9C=6?4=670=B0@ 386C=0:0= D>;B<4B4@ F0=6 38@0=6:08:0= A4?4@B8 ?030#.$#2 Gambar 8.4Cara mengukur beda potensial.voltmeterPQlampuaruslistrikbaterai+–aruslistriklampuPQvoltmeterbaterai×V–+sumber teganganlampuamperemeter/    A A 038<C0B0=F0=638?8=307:0=030;07 A0B0C 0701000,5 A#7#$=5>@<0A8F0=638?4@>;4730@860<10@B4@A41CBF08BCA:0;0F0=638BC=9C: A:0;0<0:A8<C< 10B0AC:C@0= 0A8;?4=6C:C@0= L    03870A8;?4=6C:C@0==F0  I(A)t(s)64224
172Mudah dan Aktif Belajar Fisika untuk Kelas XTes Kompetensi Subbab A&2+#,#/-#)%#-#.$5,5-#4*)#/ 4;0A:0=F0=638A41CB34=60=0;8AB@8:AB0B8A1;8AB@8:38=0<8A @058:14@8:CB<4=C=9C::0=:C0B0@CAF0=6<4=60;8@30;0<70<10B0=A4106085C=6A8E0:BC*4=BC:0= 10=F0:=F0 <C0B0= ;8AB@8: F0=6 <4=60;8@30;0<70<10B0=A4;0<0A 0;0<AC0BC@0=6:080=;8AB@8:<4=60;8@0@CA;8AB@8:A414A0@  A4;0<0 <4=8B4@0?0<C0B0=F0=6<4=60;8@30;0<@0=6:080=B4@A41CB 8:0A41C074;4:B@>=<4<8;8:8<C0B0= L  14@0?010=F0: 4;4:B@>= F0=6 <4=60;8@ 30;0< A41C07 :0E0B?4=670=B0@F0=6380;8@80@CA;8AB@8: A4;0<0A )41C070<?4@4<4B4@34=60=10B0AC:C@ <30=A:0;0 386C=0:0=C=BC:<4=6C:C@:C0B0@CAF0=6<4=60;8@30;0<AC0BC@0=6:080=;8AB@8:&030A00B?4=6C:C@0=90@C<0<?4@4<4B4@<4=C=9C::0=0=6:0 B4=BC:0=14A0@:C0B0@CA?030?4=6C:C@0=8=8 *4=BC:0=70A8;?4=6C:C@0=14@8:CB01,>;B<4B4@ 38ACAC= ?0@0;4; A49090@ 34=60= AC<14@ ;8AB@8: 0B0C?4@0;0B0=;8AB@8: F0=6 0:0= 38C:C@ 1430 ?>B4=A80;=F0&030D>;B<4B4@B4@30?0B3C01C07:CBC1F08BC:CBC1?>A8B8530=:CBC1=460B85 !CBC1:CBC1 8=8 70@CA 387C1C=6:0= A420@0 14@A4AC080= 34=60=:CBC1:CBC1 ?030 @0=6:080=B. Hukum Ohm dan Hambatan&030AC1101=30B4;07<4<?4;090@8:>=A4?0@CA30=B460=60=A4@B0 20@0 ?4=6C:C@0==F0 &030 AC1101 8=8 =30 0:0= <4<?4;090@87C:C<%7<30=70<10B0=0608<0=07C1C=60=0=B0@0B460=60=0@CA;8AB@8:30=70<10B0=C:C<%7<0:0=<4<1070A7C1C=60=B4@A41CB)414;C< <4<?4;090@8 101 8=8 ;4187 90C7 ;0:C:0= :4680B0= 14@8:CBAktivitas Fisika 8.1I(A)t(s)21368hambatangeserhambatantetaptegangansumberAVTujuanMengetahui hubungan antara tegangandan arus listrik.Alat-Alat Percobaan1.Dua buah baterai2.Hambatan tetap3.hambatan geser (hambatan yangdapat diubah-ubah)4.Amperemeter DC5.Voltmeter DCterminalnegatifterminal 0,6 A01233 A0,6 A012300,20,40,6Aterminalnegatifterminal 3 A01230,60,40,20A3 A0,6 A0123Kata Kunciarus listrikelektronbeda potensialamperemetervoltmeterLangkah-Langkah Percobaan1.Susunlah semua peralatan seperti pada gambar.Hubungan Tegangan dan Arus Listrik
173Listrik Dinamis1.Hukum Ohm4@30A0@:0= 4:A?4@8<4= F0=6 38;0:C:0=&02(*.0/).  K   3830?0B :4A8<?C;0= 107E0)32031*'120')6,%+#,%*'0+#**3'.#,%&,201# ,"',%"#,%,2#%,%,23 #".-2#,1'*1323.#,%&,20*'120')2#01# 32.#0 ,"',%,,61#**3)-,12,6,%"'1# 321# %'&+ 2,&4@=F0B00= 8=8 38:4=0; 34=60= C:C< %7<!0@0:B4@8AB8:70<10B0=F0=6B4@1C0B30@8;>60<30=<4<4=C78C:C<%7<   :>=AB0= 38A41CB >7<8: 0B0C ;8=40@ #8A0;:0= 30@8 AC0BC 70A8;?4@2>100=38?4@>;47=8;08B460=60=30=:C0B0@CA0B0B4@A41CB30?0B=30;870B?030 #$&-*014;B4@A41CB30?0B<4=670A8;:0=AC0BC6@058:;8=40@ A4?4@B8 B0<?0: ?030#.$#2 2.Ubahlah hambatan geser dengan cara menggeser-geser kontak luncur,bacalah kuat arus I pada amperemeter dan tegangan hambatan tetap padavoltmeter. Tulislah hasil yang Anda peroleh dalam bentuk tabel.3.Dari tabel yang Anda tulis, buatlah grafik tegangan V terhadap kuat arus I.4.Dari grafik tersebut, buatlah kesimpulannya. #$&-$8;08*460=60=30=!C0B@CA?0300<10B0=">60<%7<8:)420@0 <0B4<0B8A ?4@=F0B00= C:C< %7< 30?0B 38BC;8A:0=B0=!4B4@0=60=14A0@70<10B0=B0= :4<8@8=60= 6@058:<0:0 >7<14A0@=F0A0<034=60= D>;B?4@0<?4@4,K K  !4B4@0=60= 1430 ?>B4=A80; ,70<10B0= :C0B 0@CA !4<8@8=60=B0=?0306@058:B4@A41CB<4@C?0:0=14A0@=F070<10B0= F0=6 <4<8;8:8 =8;08 A0<0 30@8 AC0BC ?4@2>100= :0= B4B0?8 30@8 A4B80??4@2>100=B830:A4;0;C<4=670A8;:0=6@058::4<8@8=60=F0=6A0<0C1C=60=0=B0@0 70<10B0= 30= :4<8@8=60= 6@058: B0= 38=F0B0:0= 34=60=?4@A0<00=Suatu alat pemanas listrik (heater)memakai arus listrik 11 A jikadihubungkan dengan sumberpotensial 220 V. Hitunglahhambatan pemanas tersebut.Tantanganuntuk Anda           &(#/(#/60-45#4253#.1&2&Gambar 8.5Grafik linear V terhadap ID>;B         
174Mudah dan Aktif Belajar Fisika untuk Kelas X0153726454321V(volt)I(A)BA60°30°&4@70B8:0=60<10@14@8:CB*4=BC:0=;07=8;08?4@10=38=60=70<10B0=30=70<10B0=#7#$4=60=<4<4@70B8:0=6@058:K38?4@>;47=8;08?4@10=38=60=F08BCB0= B0=B0= HB0= H   038  )41C07?4<0=0A;8AB@8:3814@8B460=60= ,A478=660<4=60;8@0@CA;8AB@8:A414A0@  8BC=670<10B0=?4<0=0AB4@A41CB#7#$8:4B07C8 ,   ,    03870<10B0=94=8A?4<0=0A;8AB@8:B4@A41CB030;072.Hambatan (Resistansi))4B80?1070=<0B4@80;108:8BC;>60<0B0C?C=1C:0=;>60<<4<8;8:870<10B0= B4@B4=BC 0; 8=8 18A0 =30 0<0B8 107E0 AC0BC 1070= B830:A4;0;C 30?0B <4=670=B0@:0= 0@CA ;8AB@8: A420@0 108: 0?018;0 380;8@8 0@CA;8AB@8:60@30?0B<4<070<8=F0;0:C:0=,4*6*4#3*3*,# 14@8:CBContoh 8.4Contoh 8.5Aktivitas Fisika 8.2Hubungkan Panjang Kawat dan Nilai Hambatan LogamTujuan PercobaanMenyelidiki pengaruh panjang kawat dari jenis kawat terhadap nilai hambatanlogam.Alat-Alat Percobaan1.Amperemeter digital (0 mA – 1,2 mA)2.Sumber tegangan (DC 1,5 volt)3.Kawat nikrom (d = 0,5 mm) dan kawat tembaga berlapis email (d = 0,5 mm;1,0 mm; dan 1,5 mm)4.Kabel5.Penjepit6.Penggaris7.Mikrometer sekrup8.SpidolGrafik di atas menunjukkan kuat arusyang mengalir dalam suatuhambatan R, sebagai fungsi waktu.Banyaknya muatan listrik yangmengalir dalam hambatan tersebutselama 6 sekon pertama adalah ....a.8b.1 0c.1 4d.1 8e.20Ebtanas, 1990PembahasanDiketahui:Pada t = 0 sampai t = 3sq= I tq= 4 × (3)= 12 ColoumbA= 4,5040 cm3Pada t = 0 sampai t = 3sq= I tq= (3) . (1)= 2 Coloumbqtotal= 12 Coloumb + 6 Coloumb + 2 Coloumb = 20 ColoumbJawab: EPembahasan Soal
175Listrik Dinamis 3.Hubungkan kabel negatif sumber tegangan dengan salah satu ujung kawat(anggap ujung ini sebagai titik nol kawat). Kemudian, hubungkan kabelpositif amperemeter ujung kawat lain yang berjarak 25 cm 4.Catatlah kuat arus yang terbaca pada amperemeter, kemudian tuliskanhasilnya pada tabel berikut.No.PanjangTeganganKuat Arus (A)Hambatan ( )Kawat (cm)Sumber ( V)1.25. . .. . .. . .2.50. . .. . .. . .3.75. . .. . .. . .4.100. . .. . .. . .5.125. . .. . .. . . 5.Perhatikan data yang telah Anda tuliskan dalam tabel. Kesimpulan apakahyang Anda peroleh? Bagaimanakah hubungan antara panjang () denganhambatan (R)? 6.Ulangi langkah 2, 3, dan 4 untuk kawat tembaga dengan diameter 0,5 mmdan panjang 50 cm. 7.Hitunglah nilai hambatannya. Bandingkan dengan nilai hambatan untukkawat nikrom dengan panjang 50 cm. 8.Mengapa nilai hambatannya sama atau mengapa nilai hambatannyaberbeda? 9.Ulangi langkah 2, dan 3 untuk kawat tembaga lain dengan nilai diameter 1,0mm dan 1,5 mm, serta panjangnya 50 cm.10.Catatlah hasilnya pada tabel berikut.11.Bagaimanakah hubungan antara luas penampang kawat tembaga denganhambatan (R)?13.21AmperemeterdigitalPenjepit 1Sumber potensialkawatPenjepit 2Langkah-Langkah Percobaan1.Dengan menggunakan penggaris, ukurlah panjang kawat dari salah satuujungnya sepanjang 10 cm. Kemudian, beri tanda dengan spidol. Lakukanhal yang sama untuk setiap 25 cm berikutnya hingga 100 cm. 2.Susun semua peralatan seperti gambar berikut.No.Diameter(mm)Luas Penampang(mm2)Tegangan(V)Kuat Arus(A)Hambatan()1230,51,01,5. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .
176Mudah dan Aktif Belajar Fisika untuk Kelas XB !4B4@0=60=B70<10B0=94=8A0:78@<070<10B0=94=8A<C;0<C;0< :>458A84= AC7C 70<10B0= ?4@B0<1070= AC7C H%;47 :0@4=0 70<10B0=  A410=38=6 34=60= 70<10B0= 94=8A ?4=60@C7 AC7C B4@7030? 70<10B0= 9C60 30?0B 38BC;8A 0t 2K #$&- $8;080<10B0= 4=8A?030 H;C<8=8C<4A8<0A&4@0:&;0B8=0*4 < 1 0 6 0*C=6AB4=$8:@><!0@1>=4@<0=8C<)8;8:>=!020#)#/.&4&2 L K L K  L K L K L K L KL K L K K L K  KL K  K K Sumber: Physics, 2000$8;08 70<10B0= 94=8A 1414@0?0 1070= 3814@8:0= ?030 #$&-  0<10B0= 94=8A AC0BC ?4=670=B0@ 14@60=BC=6 ?030 AC7C ?4=670=B0@B4@A41CB )420@0 <0B4<0B8A 7C1C=60= 0=B0@0 70<10B0= 94=8A 30= AC7C38?4@>;47 30@80t04@30A0@:0=,4*6*4#3*3*,# =3030?0B<4<?4@>;47:4A8<?C;0=107E0A4<0:8=?0=90=6:0E0B70<10B0==F0A4<0:8=14A0@!4A8<?C;0= 8=8 30?0B 38BC;8A:0= 30;0< 14=BC: 14@8:CB)4;08= 8BC A4<0:8= 14A0@ ;C0A ?4=0<?0=6 :0E0B A4<0:8= :428;70<10B0= :0E0B B4@A41CB 30?0B 38BC;8A:0= 30;0< 14=BC: 14@8:CB 8:0 :43C0 :4A8<?C;0= B4@A41CB 38601C=6:0= 0:0= 38?4@>;47?4@A0<00= 14@8:CBK)4;08=14@60=BC=6?03030=9C6014@60=BC=6?03094=8A70<10B0= 4=8A ?4=670=B0@ B4@A41CB 38E0:8;8 >;47 AC0BC 14A0@0= 70<10B0=94=8A  70<10B0= 94=8A 30?0B 38BC;8A:0= A410608 14@8:CB
177Listrik DinamisB K*4=BC:0= 70<10B0= A410B0=6 0;C<8=8C< F0=6 ?0=90=6=F0   2< 30= ;C0A?4=0<?0=6=F0 2<38:4B07C8 L K< 8:0:43C0C9C=610B0=60;C<8=8C<3814@81430B460=60=A414A0@ L K ,14@0?0:070@CAF0=6<4=60;8@30;0<?4=670=B0@0;C<8=8C<B4@A41CB#7#$ 2< < L K< 2<L K< L  ,+=BC:<4=4=BC:0=:0E0B?4=670=B0@0;C<8=8C<386C=0:0=?4@A0<00= KK  < L <L < L K 4@30A0@:0=C:C<%7<)41C07B4@<><4B4@30@8:0E0BBC=6AB4=<4<8;8:870<10B0= ?030AC7C H30=70<10B0==F0<4=9038 ?030A00BAC7C H*4=BC:0=;07AC7CF0=638BC=9C::0=B4@<><4B4@B4@A41CB:4B8:070<10B0=:0E0B=F0 #7#$8:4B07C8 H2 H  2 #4;0;C8?4@A0<00=?4@C1070=70<10B0=14A0@70<10B0=94=8A0:0=38?4@>;470 K  H L K HK !4B8:070<10B0=:0E0B=F0 AC7C=F0030;070K  K  L / HA478=660K H K H H 038AC7CF0=638BC=9C::0=B4@<><4B4@030;07 HaluminiumVIAContoh 8.6Contoh 8.7!4B4@0=60=270<10B0=0:78@ 70<10B0=<C;0<C;02   K K L , L  0380@CAF0=6<4=60;8@30;0<?4=670=B0@0;C<8=8C<030;07Tes Kompetensi Subbab B&2+#,#/-#)%#-#.$5,5-#4*)#/ 4@0?0:07 :C0B 0@CA F0=6 <4=60;8@ ?030 A41C07?4=670=B0@F0=6<4<8;8:870<10B0= 98:03814@8B460=60=A414A0@ D>;B )41C07 :><?>=4= ;8AB@8: 3814@8 B460=60=   D>;BA478=660<4=60;8@:0=0@CA4@0?0:07:C0B0@CAF0=6<4=60;8@?030:><?>=4=B4@A41CB98:03814@8B460=60= D>;BKata Kuncibeda potensialhambatan (resistor)hambatan jeniskoefisien suhu hambatan
178Mudah dan Aktif Belajar Fisika untuk Kelas X&4@70B8:0=60<10@@0=6:080=14@8:CB8=8*4=BC:0=14A0@=F0(98:0,030;07 D>;BC.Rangkaian Seri dan Paralel&030 AC1101 8=8 =30 0:0= <4<?4;090@8 @0=6:080= A4@8 30= ?0@0;4;:><?>=4=:><?>=4= ;8AB@8: &4@70B8:0= A8AB4< 8=AB0;0A8 ;8AB@8: 38@C<07<C"0<?C:><?>@;8AB@8:A4B@8:0;8AB@8:B4;4D8A8@038>:><?CB4@30= ?><?0 08@ <4@C?0:0= 0;0B0;0B @C<07 B0=660 F0=6 <4=66C=0:0=;8AB@8: A410608 AC<14@ 4=4@68=F0 ;0B0;0B ;8AB@8: B4@A41CB 38@0=6:08A434<8:80=@C?0A478=6600;0B0;0BB4@A41CB30?0B38=F0;0:0=30=38<0B8:0=<0A8=6<0A8=6B0=?0A0;8=6<4=660=66C0;0B0;0B;8AB@8:;08=)4106082>=B>7=30A430=6<4=>=B>=B4;4D8A881CA430=6<4=F4B@8:030=0F07A430=6 <0=38 ;0B0;0B ;8AB@8: F0=6 A430=6 14@>?4@0A8 A00B 8BC F08BCB4;4D8A8 A4B@8:0 ;8AB@8: 30= ?><?0 08@ ?0 F0=6 B4@9038 :4B8:081C<4<0B8:0= A4B@8:0 ;8AB@8: ?0:07 B4;4D8A8 30= ?><?0 08@ 9C60 <0B8 *4=BCB830: 1C:0= #4=60?0 34<8:80=>=B>7 B4@A41CB <4@C?0:0= A0;07 A0BC :4C=BC=60= ?4=66C=00=@0=6:080= ?0@0;4; 30;0< <4@0=6:08 0;0B0;0B ;8AB@8: 0608<0=0 98:0 0;0B0;0BB4@A41CB38@0=6:08A4@80;0<<4<?4;090@8@0=6:080=A4@830=?0@0;4;=30 10B0A8 ?4=66C=00= :><?>=4=:><?>=4= ;8AB@8: F0=6 386C=0:0=0;0<70;8=8=300:0=<4=66C=0:0=@4A8AB>@A410608:><?>=4=;8AB@8:=F01.Hukum I Kirchhoff)414;C<<4<?4;090@8;418790C7<4=64=08C:C<!8@277>55;0:C:0=;07:4680B0= 14@8:CB 0A8; ?4@2>100= 38?4@>;476@058:7C1C=60=B460=60=30=:C0B0@CA?030A41C07@4A8AB>@A4?4@B8?03060<10@14@8:CB 8:0 D>;BB4=BC:0= 14A0@ :C0B 0@CA F0=6<4=60;8@ 0@860<10@@0=6:080=?030A>0;=><>@B4=BC:0=14A0@=F030=V (volt)I(ampere)0,023Aktivitas Fisika 8.3Hukum I KirchhoffTujuanMemahami Hukum I Kirchhoff.Alat-Alat Percobaan1.Amperemeter DC (0 – 1 A),2.Tiga lampu kecil (masing-masing 1,5 V)3.Sebuah baterai (1,5 V)4.Kabel penghubung secukupnya.Langkah-Langkah Percobaan1.Susunlah peralatan seperti pada gambar, letakkan amperemeter di posisi A12.Amatilah, apakah semua lampu menyala?3.Catat kuat arus yang ditunjukkan amperemeter, kemudian pindahkanamperemeter ke posisi A2, A3, dan A4.4.Catat kuat arus yang ditunjukkan amperemeter pada semua posisi tersebut5.Apakah A1 dan A2 menunjukkan angka yang sama?6.Jumlahkan angka yang ditunjukkan oleh A3 dan A4. Apakah hasilpenjumlahannya sama dengan angka yang ditunjukkan oleh A1 atau A2?7.Apa kesimpulan Anda dari kegiatan ini?Perjanjian cara penggambaranbaterai (sumber potensial DC) padarangkaian adalah sisi yang lebihpanjang menandakan kutubpositifnya.Ingatlah+A = amperemeterPA3A4A2A150 mA150 mA60 mAABI2I3CI1R1R2R3
179Listrik Dinamis0@8:4680B0=B4@A41CB38?4@>;47:4A8<?C;0=B4=B0=6C:C<!8@277>553)3+'0!&&-$$ 14@1C=F8(3+*&031*'120')6,%+13)."13232'2').#0! ,%,1+"#,%,(3+*&031*'120')6,%)#*30"0'2'2')! ,%2#01# 32C:C<8=8<4@C?0:0=?4@=F0B00=;08=30@87C:C<:4:4:0;0=<C0B0=F0=6<4=F0B0:0= 107E0 9C<;07 <C0B0= F0=6 <4=60;8@ B830: 14@C107&4@70B8:0=#.$#2 0<10@B4@A41CB<4=C=9C::0=1414@0?00@CA;8AB@8: F0=6 :4;C0@<0AC: 30@8 AC0BC B8B8: ?4@2010=60= )4AC08 34=60=C:C<  !8@277>55 0:0= 14@;0:CGambar 8.6Arus listrik yang memasuki dankeluar dari titik percabangan O.<0AC::4;C0@4=60= 34<8:80= ?030#.$#2  14@;0:C   &4@70B8:0=60<10@14@8:CB*4=BC:0=0@0730=14A0@:C0B0@CA;8AB@8:#7#$4@30A0@:0=60<10@B4@30?0B3C0B8B8:2010=6F08BCB8B8:&30='I+=BC:B8B8:2010=6&<8A0;:0=0@CA?0302010=6&'<4<8;8:80@07:4;C0@30@8B8B8:2010=6&4@30A0@:0=C:C<!8@277>55masukkeluarII  &' 038&' 14@0@0730@8&:4'I+=BC:B8B8:2010=6'<8A0;:0=0@07<0AC::4B8B8:2010=6'4@30A0@:0=C:C<!8@277>55IImasukkeluar   038K B0=30=460B85K<4=C=9C::0=107E00@071C:0=<0AC:B4B0?8:4;C0@30@8B8B8:2010=6'2 A8 A4 APQ4 A6 AI2.Rangkaian Seri Resistor)41C07 @0=6:080= ;8AB@8: 38A41CB @0=6:080= A4@8 98:0 30;0< @0=6:080=B4@A41CB 70=F0 030 A0BC ;8=B0A0= F0=6 38;0;C8 0@CA ;8AB@8: &030 @0=6:080=A4@8 :C0B 0@CA ;8AB@8: F0=6 <4;0;C8 A4B80? :><?>=4= A0<0 14A0@ E0;0C?C=70<10B0= A4B80? :><?>=4= 14@1430#.$#2<4=C=9C::0= @0=6:080=A4@830@8B8601C07;0<?C?890@)4:0@0=6 ?4@70B8:0=#.$#2 *460=60= ?030 C9C=6C9C=630= 030;07 30= A430=6:0= B460=60= B>B0; 0=B0@0 B8B8:30=030;07  +=BC: 70<10B0=70<10B0= F0=6 38ACAC= A4@8 14@;0:CGambar 8.7Rangkaian seri tiga buah lampu pijar.Contoh 8.8I1I2I3I4I5OKGambar 8.8Susunan seri hambatanabR1R3V1V2V3R270<10B0=A4B80?:><?>=4=14@1430
180Mudah dan Aktif Belajar Fisika untuk Kelas X1 ,B>B KK K %;47:0@4=0    30= 2-2A478=660+=BC:, 1C07 70<10B0= 14@;0:C&4@A0<00=?4@A0<00= 14@8:CB C=BC: <4=F434@70=0:0= 30= <4<?4@<C307 ?4=F4;4A080= &4@70B8:0=#.$#20 8:0 B4@30?0B  70<10B0= 38ACAC= A4@8 14@;0:CK K 1 (0=6:080= A4@8 14@5C=6A8 A410608 ?4<1068 B460=60=B>BB>BK Gambar 8.9Rangkaian seri dua buah hambatan.3.Rangkaian Paralel Resistor 8:0AC0BC@0=6:080=;8AB@8:<4<14@8:0=;418730@8A0BC;8=B0A0=C=BC:0;8@0= 0@CA ;8AB@8:=F0 @0=6:080= B4@A41CB 38=0<0:0= @0=6:080= ?0@0;4;&030 @0=6:080= ?0@0;4; B460=60= ?030 A4B80? :><?>=4= A0<0 14A0@E0;0C?C= 70<10B0= A4B80? :><?>=4= 14@1430414@0?0 ;0<?C ?890@ F0=6 38ACAC= A420@0 ?0@0;4; B0<?0: ?030#.$#2 (0=6:080= ?0@0;4; 14@5C=6A8 A410608 ?4<1068 0@CA)4?4@B8 F0=6 B4;07 =30 ?4;090@8 ?030 C:C<  !8@277>55 ?030#.$#2 :C0B 0@CA ;8AB@8: F0=6 <4;0;C8 30= 030;0730=  30?C= :C0B 0@CA 0=B0@0 B8B8:30=030;07 &030 @0=6:080=?0@0;4; 14@;0:CR1R2VV1V2V2K %;47:0@4=0      30= . 4=60= 34<8:80=.C=BC:,1C07 70<10B0= 14@;0:C., ...Gambar 8.11Susunan paralel hambatanI1R1R2R3I2I3IIabGambar 8.10Susunan paralel tiga buah lampupijarK K 
181Listrik Dinamis)4;08= 30?0B 38ACAC= A420@0 A4@8 30= ?0@0;4; :><?>=4=:><?>=4=;8AB@8: 30?0B ?C;0 38ACAC= A420@0 601C=60= A4@8?0@0;4;4.Jembatan Wheatstone 4<10B0=&#212-,#<4@C?0:0=A41C07<4B>34F0=6386C=0:0=C=BC:<4=6C:C@70<10B0=F0=614;C<38:4B07C8)4;08=8BC94<10B0=4&#212-,#386C=0:0= C=BC: <4=6>@4:A8 :4A0;070= F0=6 30?0B B4@9038 30;0<?4=6C:C@0= 70<10B0= <4=66C=0:0= C:C< %7< )CAC=0= @0=6:080=94<10B0= -740BAB>=4 38BC=9C::0= ?030#.$#2  8:090@C<60;D0=><4B4@<4=C=9C::0=0=6:0=>;A4B8<10=614@0@B8 ?030 60;D0=><4B4@ B830: 030 0@CA ;8AB@8: F0=6 <4=60;8@ :810B=F0?030 :40300= 8=8 B460=60= 38 A0<0 34=60= B460=60= 3830= B460=60= 38 A0<0 34=60= 38 A478=660 98:0   14@;0:C L  LK &23#.##/9 38:4=0; 34=60= ?@8=A8? 94<10B0= -740BAB>=44=BC: A434@70=0 A41C07 94<10B0= -740BAB>=4 38BC=9C::0= A4?4@B8?030#.$#2  !4B8:0 A0:;0@ 387C1C=6:0= 0@CA <4=60;8@ <4;0;C8Gambar 8.12Rangkaian jembatan WheatstoneGambar 8.13Rangkaian sederhana jembatanWheatstoneRXRGES12&4@70B8:0=60<10@14@8:CB41C07@0=6:080=B4@BCBC?F0=6B4@38@80B0A3C01C07@4A8AB>@30=A41C07AC<14@B460=60=*C60A =30 030;07 <4<1C:B8:0= ?4@A0<00=?4@A0<00= 14@8:CB &4@A0<00=?4@A0<00= 14@8:CB 14@6C=0 C=BC: <4=F434@70=0:0= 30= <4<?4@<C307?4=F4;4A080=  8:0B4@30?0B 70<10B0=38ACAC=?0@0;4;14@;0:CI 2-2 I2-2 I2-2  +=BC:,1C0770<10B0=F0=638ACAC=?0@0;4;30=A4B80?70<10B0=14A0@=F070<10B0=B>B0;=F0030;07+ , 0<10B0=?0@0;4;14@5C=6A8A410608?4<10680@CA34=60==8;08?4@10=38=60=:C0B0@CA?030A4B80?2010=6030;07 2-2 2-2 430?>B4=A80;A4B80?70<10B0=A0<014A0@Mari Mencari TahuR1R2R3R4GPSRGVJika Anda telah memahami susunanseri hambatan pada rangkaian,tentukan oleh Anda sehinggadiperoleh persamaan (8 – 12),persamaan (8 –13), dan persamaan(8 – 14) dengan cara menurunkandari persamaan (8 – 9) danpersamaan (8 – 10).Tantanganuntuk AndaI1R1R2I2IVI
182Mudah dan Aktif Belajar Fisika untuk Kelas XACAC=0= @0=6:080= A430=6:0= 90@C< 0;D0=><4B4@ <4=F8<?0=6 :4 :8@80B0C:4:0=0= 4<10B0=30;0<:40300=A4B8<10=60:0=38?4@>;4734=60=<4=664A4@64A4@:>=B0:A4?0=90=6:0E0B&030:40300=A4B8<10=690@C<0;D0=><4B4@ 0:0= <4=C=9C::0= 0=6:0 =>; A478=660 38?4@>;470B0CK  030;07 70<10B0= F0=6 74=30: 38C:C@ A430=6:0= 70<10B0=AB0=30@ F0=6 AC307 38:4B07C8 &0=90=6 :0E0B130=2 30?0B B4@1020<4;0;C8 A:0;0 ?0=90=6 ?030 :0E0B B4@A41CB&4@70B8:0=60<10@14@8:CBR = 120GDCAXVS60 cm&0=90=6 2< 0@C<60;D0=><4B4@0:0=A4B8<10=6:4B8:0:>=B0:14@030 2<30@8C9C=6*4=BC:0==8;0870<10B0=5#7#$ 2<K 2< 2<)F0@0B94<10B0=30;0<:40300=A4B8<10=6030;075 5 2<  2<5 *8601C07@4A8AB>@<0A8=6<0A8=6  30=38ACAC=A4@830=C9C=6C9C=6=F0387C1C=6:0=34=60=10B4@08 ,A4?4@B8?03060<10@14@8:CBContoh 8.9*4=BC:0=0:C0B0@CAF0=6<4=60;8@?030@0=6:080=11430?>B4=A80;0=B0@030=21430?>B4=A80;0=B0@030=3 1430?>B4=A80;0=B0@030=#7#$0   ,    ,    038:C0B0@CAF0=6<4=60;8@?030@0=6:080=030;07 1   ,2     ,3   , 038 ,  ,30= ,104660 VABCDContoh 8.10Tugas AndaTurunkan oleh Anda persamaan(8 – 19) berdasarkan Gambar 8.13.
183Listrik Dinamis94?8B5.Rangkaian Seri dan Paralel Sumber Tegangan)414;C<<4<1070AACAC=0=A4@8K?0@0;4;AC<14@B460=60=B4@;4187307C;C0:0=381070A<4=64=08?4@14300=60F064@0:;8AB@8:34=60=B460=60=;8AB@8:a.Perbedaan Gaya Gerak Listrik dengan Tegangan Jepit6%#0)*'120')%%* 030;07 #".-2#,1'*,203(3,%3(3,%)323 13+ #0031*'120'))#2')13+ #0031*'120')2#01# 322'")+#,%*'0),031*'120')#%,%,(#.'2 030;07 #".-2#,1'*,203(3,%3(3,%13+ #0031*'120'))#2')13+ #0031*'120')2#01# 322#0 # ,'23+#,%*'0),031*'120')C1C=60= 0=B0@0 66; 30= B460=60= 94?8B 030;07K b.Sumber Tegangan Disusun Seri+=BC: <4=30?0B:0= AC<14@ B460=60= F0=6 ;4187 14A0@ 30@8?030 B460=60=A4B80? AC<14@ B460=60= 1414@0?0 AC<14@ B460=60= 70@CA  38ACAC= A420@0 A4@8*86010B4@0838ACAC=A420@0A4@8A4?4@B8?030#.$#2  8:0=30?4@70B8:0=:4B86010B4@0838ACAC=14@34@4B38<0=0:CBC1:43C010B4@08F0=6 14@34:0B0= A4;0;C 14@;0E0=0= B0=30 8:0 A49C<;07 AC<14@ B460=60= 0B0C 10B4@08 38ACAC= A420@0 A4@814@;0:CB>B  K 34=60= 70<10B0= 30;0<=F0B>B0000.K !C0B 0@CA F0=6 <4=60;8@ <4;0;C8 @0=6:080= ?030#.$#2 B4@A41CB <4<4=C78 ?4@A0<00=000K +=BC:, 1C07 AC<14@ B460=60= F0=6 38ACAC= A4@8 14@;0:C, ,0K c.Sumber Tegangan Disusun Paralel 8:0A49C<;07AC<14@B460=60=F0=6<4<8;8:866;A0<012338ACAC= A420@0 ?0@0;4; <0:0 14@;0:CB>B0<10B0= 30;0<=F0 38@C<CA:0= A410608 14@8:CBK B>B0000.K Gambar 8.14Rangkaian seri tiga sumbertegangan atau baterai.RI+++11r22r33r
184Mudah dan Aktif Belajar Fisika untuk Kelas XABGambar 8.15Tiga sumber tegangan disusunparalel.&4@70B8:0=#.$#2 !C0B0@CAF0=6<4=60;8@?030@0=6:080=030;072-2000K C=BC:,1C07AC<14@B460=60=34=60=66; 30= 70<10B0= 30;0<0F0=6 38ACAC= ?0@0;4; 14@;0:C0,K *8601C0710B4@0838ACAC=A420@0A4@8A4?4@B860<10@14@8:CB)4B80?10B4@08<4<8;8:866; ,30=70<10B0=30;0<   8:0:4B8601C0710B4@08B4@A41CB387C1C=6:0=34=60=A41C0770<10B0=  B4=BC:0=:C0B0@CAF0=6<4=60;8@<4;0;C870<10B0=#7#$8:4B07C8 ,0  ,   +=BC:<4=4=BC:0=:C0B0@CAF0=6<4=60;8@386C=0:0=&23#.##/9  nnr R    ,   )+ 4, 4  038:C0B0@CAF0=6<4=60;8@ R = 4,41,5 V ; 0,21,5 V ; 0,21,5 V ; 0,2C01C0710B4@0838ACAC=A420@0?0@0;4;A4?4@B8?03060<10@14@8:CBI1I2I11r22r2Contoh 8.11Contoh 8.12Empat buah hambatan masing-masing besarnya 1 ohmdihubungkan seperti pada gambarberikut.Hitunglah hambatan total R antaratitik A dan titik B.Tantanganuntuk AndaRI22r11r33r
185Listrik Dinamis &03060<10@@0=6:080=14@8:CB0:C0B0@CAF0=6<4=60;8@<4;0;C8;0<?C?890@1B460=60=94?8BA4B80?10B4@08 414@0?010B4@08<0A8=6<0A8=634=60=66; ,30=70<10B0= 30;0<   38ACAC= ?0@0;4; :4<C380=387C1C=6:0= 34=60= A41C07 ;0<?C ?890@ F0=670<10B0==F0  8:0:C0B0@CAF0=6<4=60;8@<4;0;C8;0<?C 14@0?0:079C<;0710B4@08F0=638ACAC=?0@0;4;&4@70B8:0=60<10@14@8:CB*4=BC:0=0@0730=14A0@:C0B0@CA*4=BC:0=14A0@30=0@070@CA30@860<10@14@8:CBTes Kompetensi Subbab C&2+#,#/-#)%#-#.$5,5-#4*)#/ &4@70B8:0=60<10@14@8:CBBA12 VI1I2I3346*4=BC:0=14A0@=F0070<10B0=B>B0;0=B0@0B8B8:30=123*4=BC:0=070<10B0=;8AB@8:0=B0@0B8B8:30=170<10B0=;8AB@8:0=B0@0B8B8:30= "8<01C0710B4@08<0A8=6<0A8=634=60=66; ,30=70<10B0=30;0< 38ACAC=A4@8:4<C380=C9C=6C9C=6=F0387C1C=6:0=34=60=A41C07;0<?C?890@F0=614@70<10B0= *4=BC:0= 8:0A4B80?10B4@08<4<8;8:866; ,30=70<10B0=30;0<=F0 :4<C380=C9C=6C9C=6@0=6:080==F0387C1C=6:0=34=60=;0<?C?890@F0=6<4<8;8:870<10B0= B4=BC:0=0:C0B0@CAF0=6<4=60;8@<4;0;C8;0<?C?890@1B460=60=94?8BA4B80?10B4@08#7#$8:4B07C8 , 0 , 5 A6 AIQ7 A4 A2 AP3 AABCD56796469Kata Kuncirangkaian serirangkaian paralelHukum I Kirchhofftitik percabanganjembatan Wheatstonegalvanometergaya gerak listriktegangan jepithambatan dalam9 AI2,5 A3,5 AP0 B>BB>B  , 0  038:C0B0@CAF0=6<4=60;8@ 0<?4@41  94?8BK0 ,K  L ,  , 038B460=60=94?8BA4B80?10B4@08030;07  ,
186Mudah dan Aktif Belajar Fisika untuk Kelas X  Gambar 8.16Sebuah rangkaian tertutupIRarah loopK K &4@70B8:0=@0=6:080=B4@BCBC?A4?4@B860<10@14@8:CBIIABDCR4 = 6R3 = 5R2 = 6R5 = 3R1 = 61136 V2 r2216 V0,5 r4412 V0,7 r3320 V0,8 r8BC=6;070:C0B0@CAF0=6<4=60;8@?030@0=6:080=1 #7#$0#4=C@CBC:C<!8@277>553830;0<@0=6:080=B4@BCBC?B4@A41CB14@;0:C #8A0;:0=0@07;>>?A40@0734=60=?CB0@0=90@C<90<A478=660?4@A0<00=B4@A41CB<4=9038K1K2K340000 K K K        D. Hukum II Kirchhoff3)3+'0!&&-$$0B0C38A41CB9C60230,*--.3830A0@:0=?030C:C<!4:4:0;0= =4@68 =4@68 ?030 AC0BC @0=6:080= B4@BCBC? 030;07 :4:0;3)3+'0!&&-$$<4=F0B0:0= 107E0(3+*&*( 0.#03 &,2#%,%,6,%+#,%#*'*',%'13230,%)',2#02323.*--.1+"#,%,,-* )420@0<0B4<0B8A 38BC;8A A410608 14@8:CB&4@70B8:0=#.$#2  0F0 64@0: ;8AB@8:30@8 AC<14@ B460=60=<4=F4101:0= 0@CA ;8AB@8: <4=60;8@ A4?0=90=6 ;>>? @CA ;8AB@8:38 30;0<;>>? <4=30?0B 70<10B0= A478=660 <4=60;0<8 ?4=C@C=0= B460=60=&23#.##/9 30?0B 38BC;8A A410608 14@8:CB1.Rangkaian dengan Satu Loop#.$#2<4=C=9C::0= @0=6:080= A434@70=0 34=60= A0BC ;>>? &030@0=6:080=B4@A41CB0@CA;8AB@8:F0=6<4=60;8@030;07A0<0F08BC#8A0;:0==30 <4=60<18; 0@07 ;>>? A40@07 34=60= 0@07 F08BC7 7!7"7 )4;0=9CB=F0 :C0B 0@CA 30?0B 3878BC=6 34=60= C:C<  !8@277>55 14@8:CB #0:0 ?030#.$#2 14@;0:CK 0 0  Gambar 8.17Rangkaian dengan satu loopRarah loopIbcadIContoh 8.132122r11r@0=6:080= B4@A41CB 0@CA ;8AB@8: F0=6 <4=60;8@ 030;07 A0<0 F08BC
187Listrik Dinamis2.Rangkaian dengan Dua Loop atau Lebih(0=6:080= F0=6 <4<8;8:8 3C0 ;>>? 0B0C ;4187 38A41CB 9C60 @0=6:080=<094<C: "0=6:07;0=6:07 30;0< <4=F4;4A08:0= @0=6:080= <094<C:030;07 A410608 14@8:CB0 0<10@;07 @0=6:080= ;8AB@8: <094<C: B4@A41CB1 *4B0?:0= 0@07 :C0B 0@CA C=BC: A4B80? 2010=62 *C;8A;07?4@A0<0=?4@A0<00=0@CAC=BC:B80?B8B8:2010=6<4=66C=0:0= C:C<  !8@277>553 *4B0?:0= ;>>? 14A4@B0 0@07=F0 ?030 A4B80? @0=6:080= B4@BCBC?4 *C;8A;07?4@A0<00=?4@A0<00=C=BC:A4B80?;>>?<4=66C=0:0=C:C< !8@277>5558BC=6 14A0@0=14A0@0= F0=6 38B0=F0:0= <4=66C=0:0= ?4@A0<00=?4@A0<00= ?030 ;0=6:07 4 ,   038:C0B0@CAF0=6<4=60;8@030;07 1=3030?0B<4=678BC=6C=BC:;8=B0A0=F0=6<4=4<?C790;0=0B0C90;0=+=BC:90;0=      K   K  ,+=BC:90;0= K    K   , 038  ,&4@70B8:0=60<10@@0=6:080=;8AB@8:14@8:CBBA0,512,52 Vr = 0,5r = 0,54 V6*4=BC:0=0:C0B0@CAF0=6<4=60;8@30;0<70<10B0=  30=11430?>B4=A80;0=B0@0B8B8:30=#7#$8:4B07C8(0=6:080=?030A>0;30?0B38C107<4=9038A4?4@B860<10@14@8:CBContoh 8.1412,50,54 Vr = 0,52 Vr = 0,56I1I3I2Loop ILoop IIPerjanjian tanda ggl dan kuat arusdalam rangkaian tertutup (loop).a.Kuat arus bertanda negatif jikasearah dengan arah loop, danbertanda positif jikaberlawanan arah dengan arahloop.b.(ggl) bertanda negatif jikakutub positifnya lebih dahuludijumpai daripada kutubnegatifnya ketika mengikutiarah loop, dan sebaliknya.Ingatlah
188Mudah dan Aktif Belajar Fisika untuk Kelas X04@30A0@:0=C:C<!8@277>550B0CKJJJJ 4@30A0@:0=C:C<!8@277>55C=BC:">>?38?4@>;47 K         JJJJ 4@30A0@:0=C:C<!8@277>55C=BC:">>?38?4@>;47  K   K   K  JJJJ 30=K 038:C0B0@CAF0=6<4=60;8@30;0<70<10B0= 030;07F0=6<4=60;8@30;0<70<10B0= 030;0730=F0=6<4=60;8@30;0<70<10B0=030;07B0=30K<4=C=9C::0=107E00@070@CA14@;0E0=0=0@0734=60=0@07?4<8A0;0= &4@70B8:0=60<10@@0=6:080=;8AB@8:14@8:CBTes Kompetensi Subbab D&2+#,#/-#)%#-#.$5,5-#4*)#/*4=BC:0=:C0B0@CAF0=6<4=60;8@30;0<70<10B0= 30=:C0B0@CAB>B0;30@8AC<14@B460=60= &4@70B8:0=60<10@@0=6:080=;8AB@8:14@8:CB25 V2410162646  8:0  ,30= ,B4=BC:0=2385AB2 Vr = 18 Vr = 1*4=BC:0=0:C0B0@CAF0=6<4=60;8@30;0<70<10B0= 30=11430?>B4=A80;0=B0@0B8B8:30=00@CAF0=6<4=60;8@?030@0=6:080=1B460=60=?030A4B80?@4A8AB>@  8:0 30= ,<0:0B4=BC:0=0B460=60=?030A4B80?@4A8AB>@10@CAB>B0;20@CAF0=6<4=60;8@?030A4B80?@4A8AB>@R1R2E2E1ER1R2Kata KunciHukum II Kirchhoffrangkaian tertutup (loop)perubahan tegangan  8:04=60=<4=AC1AB8BCA8:0=&23#.##/:430;0<&23#.##/ <0:038?4@>;47
189Listrik DinamisE.Sumber Arus Searah dari Proses Kimiawi=30<C=6:8=?4@=07<4;870B30=<4=64=0;10B4@08F0=6386C=0:0=?03090<38=38=60B0C?030@038>=309C60<C=6:8=?4@=07<4=64=0;A4:4;><?>:<0AF0@0:0B38AC0BC304@07B4@?4=28;F0=6<4=66C=0:0=A4;5>B>D>;B08: A410608 AC<14@ 0@CA ;8AB@8: C=BC: ?4=4@0=60= )4<C08BC<4@C?0:0= AC<14@ 0@CA A40@07)C<14@ 0@CA A40@07 38A41CB 9C60 AC<14@ B460=60= A40@07 A4101 0@CA 38B8<1C;:0=>;47AC<14@B460=60=4@8:CB2>=B>7AC<14@AC<14@0@CA;8AB@8:  )C<14@ 4;4:B@><06=4B8: 30?0B <4=670A8;:0= 0@CA ;8AB@8: :0@4=06490;08=3C:A84;4:B@><06=4B8:#8A0;=F038=0<>38?4@;870B:0=?030#.$#2  )C<14@ ;8AB@8: B4@<>4;4:B@8: 0@CA ;8AB@8: 30?0B 3870A8;:0= 30@8 454:B4@<>4;4:B@8:  )C<14@ 5>B>;8AB@8: 14@0A0; 30@8 AC0BC ?@>A4A 8A8:0 F0=6 <4=6C1074=4@68 2070F0 <4=9038 4=4@68 ;8AB@8:  )C<14@ ?84G>4;4:B@8: 3870A8;:0= 30@8 454: ?84G>4;4:B@8: F08BC A850B1070=F0=60?018;0<4=4@8<0B4:0=0=30@8;C0@30?0B<4=670A8;:0=0@CA ;8AB@8:1.Sumber Listrik dari Bahan Kimia&4=4<C0=AC<14@0@CA;8AB@8:30@81070=:8<80380E0;8>;478;<CE0=B0;805*(*#-6#/*  K 0<4=4<C:0=107E0>B>B>B>B:0B0:F0=6AC307<0B8<4=F4=B0:98:038A4=BC734=60=3C0;>60<F0=614@1430&4@:4<10=60=14@8:CB=F0-&33#/%20!0-4#<4=4<C:0=10B4@084;4<4=:4@8=6 ?4@B0<0 38 3C=80)4:0@0=6 AC<14@ 0@CA ;8AB@8: 30@8 1070= :8<80 <4@C?0:0= AC<14@0@CA;8AB@8:F0=610=F0:386C=0:0=)C<14@0@CA;8AB@8:30@81070=:8<80381430:0= A410608 14@8:CB *#+#,.0'+#0 F08BC 4;4<4= F0=6 <4<4@;C:0= ?4@60=B80= 1070=1070= ?4@40:A8 A4B4;07 <4<1410A:0= A49C<;07 4=4@68 <4;0;C8@0=6:080= ;C0@=F0 ;4<4= ?@8<4@ 8=8 <4=66C=0:0= 1070= :8<80F0=6 @40:A8 :8<80=F0 B0: 30?0B 3810;8::0= A478=660 4;4<4= ?@8<4@70=F0 30?0B 386C=0:0= A0BC :0;8 ?4<0:080= >=B>7=F0 A4; ,>;B030= 4;4<4= :4@8=6 10B4@08 *#+#,1#)3,"#0F08BC 4;4<4= F0=6 1070=1070= ?4@40:A8=F0 30?0B38?4@10@C8:4<10;8A4B4;07B830:14@5C=6A8;068>=B>7=F00:C<C;0B>@30= 10B4@08 8A8 C;0=6a.Elemen Primer;4<4=8=810=F0:<020<=F04@8:CB8=81414@0?0AC<14@0@CA;8AB@8:F0=6 B4@6>;>=6 A410608 4;4<4= ?@8<4@ -&.&/!0-4#;4<4=,>;B038B4<C:0=>;47-&33#/%20!0-4#!0-4#<4=4<C:0=107E0 14@10608 ;>60< 30= ;0@CB0= 0A0< 0B0C 60@0< 30?0B 386C=0:0=A410608 4;4<4= A434@70=0 :0= B4B0?8 180A0=F0 F0=6 386C=0:0=80;07;4<?4=6 A4=6 /= F0=6 3824;C?:0= :4 30;0< ;0@CB0= 0A0< AC;50B#.$#2<4=C=9C::0= 4;4<4= ,>;B0&@>A4A:8<80F0=6B4@9038?0304;4<4=,>;B030?0B3894;0A:0=34=60=?4@A0<00= :8<80 14@8:CB K)%  )%Gambar 8.18Dinamo atau generator adalahcontoh dari sumberelektromagnetik.magnetkumparankomutatorGambar 8.19Elemen Voltaaliran elektronkutubCuZnLarutanasamsulfatencerarusarus
190Mudah dan Aktif Belajar Fisika untuk Kelas XGambar 8.21Bagian-bagian akumulator asamsulfat.tutuplubang atasterminalpelatlogampelatoksidalapisanpemisahasamsulfatGambar 8.20Susunan dasar sebuah elemenkering.tutupkuninganbatangkarbonsengpasta kimia)4B80?<>;4:C;0A0<AC;50B3830;0<08@?4207<4=9038 8>=783@>64=F0=614@<C0B0=?>A8B8530= 8>=)% F0=614@<C0B0==460B85B><A4=6F0=6<4;0@CB:430;0<;0@CB0=0A0<AC;50B14@C?0/= )4B80?0B><F0=6;0@CB <4=8=660;:0= 3C0 4;4:B@>= ?030 ;4<?4=6 A4=6 ;4:B@>=4;4:B@>=8=8;07F0=6<4=60;8@30@8A4=6:4B4<1060C<4;0;C8:0E0B?4=670=B0@A478=660 B4@9038 0@CA ;8AB@8:  -&.&/&2*/(#45#4&2#*;4<4=:4@8=60B0C;418738:4=0;34=60=8AB8;0710BC10B4@08<4@C?0:0= AC<14@ 0@CA ;8AB@8: F0=6 ?0;8=6 10=F0: 386C=0:0=#.$#2 <4=C=9C::0= 60<10@ ACAC=0= 30A0@ A41C07 4;4<4= :4@8=6!CBC1?>A8B854;4<4= :4@8=6B4@1C0B30@8:0@1>=F0=638:4;8;8=688=B8F0=6B4@1C0B 30@8 20<?C@0= >:A830 <0=60= 30= 0@0=6 F0=6 38<0<?0B:0= !CBC1=460B85 4;4<4= :4@8=6 B4@1C0B 30@8 A4=6 F0=6 A4:0;86CA <4=9038 E0307 F0=614@8A8A4<020<?0AB00<>=8C<:;>@8300<?C@0=>:A830<0=60=30=:0@1>=38 A4:4;8;8=6 10B0=6 :0@1>= 14@B8=30: A410608 34?>;0@8A0B>@ ?4=246070=?4=6:CBC10=b.Elemen Sekunder;4<4= A4:C=34@ 030;07 AC<14@ 0@CA 30@8 1070= :8<80 F0=6 @40:A8:8<80=F0 30?0B 3810;8: %;47 :0@4=0=F0 4;4<4= 8=8 30?0B 38?4@1070@C8A420@0 14@C;0=6C;0=6 )0;07 A0BC 2>=B>7 4;4<4= 8=8 F0=6 ?0;8=6 38:4=0;38 <0AF0@0:0B 030;07 0:C<C;0B>@ 0B0C 0:80;0<1018=80:0=381070A3C01C072>=B>74;4<4=A4:C=34@F08BC0:C<C;0B>@ B8<10; 0A0< AC;50B 30= 0:C<C;0B>@ =8:4; :03<8C< ,5.5-#402 *.$#-3#.5-'#4:C<C;0B>@8=810=F0:38B4<C:0=?030<4A8=A4?430<>B>@<>18;0B0C?030 <4A8=<4A8= F0=6 ;08= A410608 AC<14@ ;8AB@8: &030 0:C<C;0B>@ 94=8A8=8 1070= ;0@CB0= 4;4:B@>;8B F0=6 386C=0:0= 030;07 0A0< AC;50B BC;07A4101=F00:C<C;0B>@94=8A8=838A41CB9C600:C<C;0B>@0A0<AC;50B0680=10680= 0:C<C;0B>@ 0A0< AC;50B 38BC=9C::0= ?030#.$#2 &030 30A0@=F0 030 3C0 ?@>A4A ?4=B8=6 30;0< 0:C<C;0B>@ &4@B0<0?@>A4A ?4=68A80= 0:C<C;0B>@ 30= :43C0 ?@>A4A ?4=66C=00= 0:C<C;0B>@&030 ?@>A4A ?4=68A80= 0:C<C;0B>@ A49C<;07 0@CA ;8AB@8: 380;8@:0= ?0300:C<C;0B>@ A434<8:80= 78=660 14@C107 <4=9038 4=4@68 :8<80 8 30;0<0:C<C;0B>@;0@CB0=4;4:B@>;8B)% B4@C@08<4=9038 30=)% (40:A8:8<80 F0=6 B4@9038 ?030 ?@>A4A ?4=68A80= 030;07 A410608 14@8:CBI 8 :0B>34&1)%  4K&1)%I 8 0=>34&1)%)% K %&1%  )%  4K&030?@>A4A?4=68A80=8>=380;8@:0=:4:0B>3030=8>=AC;50B380;8@:0=:4 0=>30 30?C= ?030 ?@>A4A ?4<0:080= :43C0 4;4:B@>30 387C1C=6:0=A478=660B4@90380;8@0=4;4:B@>=30@84;4:B@>30&1<4;0;C81410=<8A0;=F0;0<?C :4 4;4:B@>30 &1% &030 ?@>A4A ?4<0:080= 38 30;0< 0:C<C;0B>@0:0= B4@9038 @40:A8 :8<80 A410608 14@8:CBI >=  ?>A8B85 0:0= 14@64@0: <4=C9C &1% A478=660 B4@9038 @40:A8&1&1% )% &1)%  %!4?8=6 &1% 14@C107 <4=9038 B8<10; AC;50B &1)%
191Listrik Dinamis2I>=)%  14@64@0: <4=C9C :4 &1 A478=660 B4@9038 @40:A8&1)% K&1)%  4K!4?8=6 &1 9C60 14@C107 <4=9038 B8<10; AC;50B &1)%!43C0@40:A8B4@A41CBB4@CA14@;0=9CBA0<?08:43C04;4:B@>30<4=9038B8<10; AC;50B )4B4;07 :40300= 8=8 B4@20?08 B830: 030 ;068 0;8@0= 4;4:B@>=B830: 030 0@CA F0=6 <4=60;8@ 4=60= 34<8:80= 0:C<C;0B>@ B830:14@5C=6A8 ;068  ,5.5-#402*,&-#%.*5.&030 0:C<C;0B>@ 8=8 1070= 4;4:B@>;8B F0=6 386C=0:0= 030;07 :0;8C<783@>:A830 !CBC1 ?>A8B85=F0 030;07 =8:4; 30= :CBC1 =460B85=F0030;0720<?C@0= ;>60< :03<8C< :C<C;0B>@ =8:4;:03<8C< 10=F0: 381C0B34=60= 14=BC: A4?4@B8 4;4<4= :4@8=6 B4B0?8 70@60=F0 90C7 ;4187 <070;30@8?03010B4@08180A0!4C=BC=60==F080;0730?0B38;0:C:0=?4=68A80=C;0=630= 38A8<?0= ;0<0Tes Kompetensi Subbab E&2+#,#/-#)%#-#.$5,5-#4*)#/ )41CB:0=AC<14@AC<14@0@CA;8AB@8:  ?0 F0=6 38<0:AC3 4;4<4= ?@8<4@ 30= 4;4<4=A4:C=34@)41CB:0=2>=B>72>=B>7=F0 *C;8A:0=@40:0A8:8<80F0=6B4@90383830;0<4;4<4=,>;B0  4;0A:0=F0=638<0:AC3?@>A4A?4=68A80=30=?@>A4A?4=66C=00=0:C<C;0B>@*C;8A:0=@40:A8:8<80F0=6B4@903838:0B>3430=380=>34?030?@>A4A?4=68A80=0:C<C;0B>@F.Tegangan Listrik Searah dan Bolak-Balik1.Energi Listrik=30 B4;07 <4=64B07C8 107E0 0@CA ;8AB@8: <4=60;8@ 30@8 ?>B4=A80;B8=668:4?>B4=A80;F0=6;4187@4=307)4;08=8BC4;4:B@>=A410608?4<10E0<C0B0=;8AB@8:<4<4@;C:0=4=4@68C=BC:14@?8=307F0:=84=4@68?>B4=A80;F0=6 14A0@=F0 <C0B0= 38:0;8 ?>B4=A80; ;8AB@8:=F0./%;47 :0@4=0 8BC 4=4@68 ;8AB@8: 030;07 CA070 C=BC: <4<8=307:0=<C0B0= ;8AB@8: B4@A41CB 4A0@=F0 4=4@68 ;8AB@8: B4@A41CB 030;07.K./K/K/ 20B0CK 2030;0714A0@4=4@68;8AB@8:030;07B460=60=030;07:C0B0@CA;8AB@8: 30=2 030;07 E0:BC 8:0 <4=AC1AB8BCA8:0= ?4@A0<00=K  <4=9038K K Kata Kunciproses kimiawielektromagnetiktermoelektrikfotolistrikpiezoelektrikelemen primerelemen sekunderI = qtmaka q = I tIngatlah
192Mudah dan Aktif Belajar Fisika untuk Kelas X 20B0C )41C071>;0;0<?C34=60=A?4A858:0A8 - ,38?0A0=6?0301430?>B4=A80; ,30=38=F0;0:0=A4;0<0 <4=8B8BC=64=4@68;8AB@8:F0=6B4@?0:08;0<?CB4@A41CB#7#$8:4B07C8 , , -2 <4=8B A0<10B0=;0<?C380=660?:>=AB0=A478=660<0:0L ,L - ,  -2 - A L  0384=4@68;8AB@8:F0=6B4@?0:08 L  !4B4@0=60= 4=4@68 ;8AB@8:   1430 ?>B4=A80; ,:C0B0@CA70<10B0=2 A4;0=6 E0BC A30?C=30F0;8AB@8:030;079C<;074=4@68?4@A0BC0=E0:BC0F0;8AB@8: 30?0B 3878BC=6 34=60= @C<CA@C<CA A410608 14@8:CBK  0B0CK ;0B0;0B?4<0=0AF0=610=F0:389C<?08<4@C?0:0=:41CBC70=CB0<030;0<:4783C?0=<0=CA80A4?4@B8A4B@8:0B4:>;8AB@8:30=0'!#!--)#0=4@68;8AB@8:F0=63870A8;:0=>;474;4<4=?4<0=0A;8AB@8:B4@A41CBA4;0<02A4:>=A414A0@ 2 !4<C380= 4=4@68 B4@A41CB 38C107 <4=9038 4=4@68 :0;>@A414A0@+!)420@0<0B4<0B8A?4@C1070=4=4@68;8AB@8:<4=90384=4@68 :0;>@ B4@A41CB 30?0B 38BC;8A:0= A410608 14@8:CB 2 +!!4B4@0=60=+ <0AA0 08@ :6!:0;>@94=8A08@   :6H :4=08:0= AC7C 08@ H0B0B0=&23#.##/9  14@;0:C 98:0 B830: B4@9038 ?4@C1070= EC9C3208@ A414;C< B4@9038 ?4=6C0?0=Contoh 8.15K To k o hAlessandro Volta, adalah Fisikawanyang dilahirkan di Como, Italia. Diamenciptakan electrophorus, yaitusuatu alat untuk membangkitkanlistrik statis pada 1775 danmenemukan gas metana pada 1778.Dia ditetapkan sebagai profesoruntuk filsuf ilmu alam di Pavia.Terinspirasi oleh temannya LuigiGalvani, Volta menemukan bahwaarus listrik dibangkitkan ketika dualogam berbeda berada pada jarakyang sangat dekat, danmengembangkan baterai listrikpertama pada 1800. Namanyadiabadikan untuk satuan bedapotensial listrik, volt.Sumber :www.allbiographies.comSumber:www.physics. com.Alessandro Volta(1745 – 1827)
193Listrik Dinamis=30 B4;07 <4<?4;090@8 0@CA ;8AB@8: A40@07 B460=60= ;8AB@8: A40@0730=AC<14@0@CA;8AB@8:A40@07A4@B0@0=6:080=A434@70=0B4@38@80B0A10B4@0878=66038?4@>;47=8;0830=F0=638A41CB34=60=@0=6:080=0@CAA40@07@CA 30= B460=60= ;8AB@8: 1>;0:10;8: <4<8;8:8 =8;08 F0=6 A4;0;C 14@C107C107 B4@7030? E0:BC A420@0 ?4@8>38: 108: 14A0@ <0C?C= 0@07=F04A0@0= 0@CA 30= B460=60= 1>;0:10;8: 38;0<10=6:0= 34=60=A430=6:0=0@CA30=B460=60=A40@0738;0<10=6:0=34=60=4E0A08=8 70<?8@ A4<C0 ?4@0;0B0= @C<07 B0=660 38>?4@0A8:0= 34=60= 4=4@68;8AB@8: 0@CA 1>;0:10;8: A4?4@B8 B0<?0: ?030#.$#2  =30 B4;07<4=64B07C8 107E0 ?4@14300= <4=30A0@ 0=B0@0 0@CA 1>;0:10;8: 30=0@CAA40@07 030;07 ?>;0@8B0A=F0+=BC:<4=64B07C8?>;0@8B0A0@CA30=B460=60=A40@07F0=6A4;0;CB4B0?30=0@CA1>;0:10;8:F0=6A4;0;C14@C10730?0B386C=0:0=>A8;>A:>?<8A0;=F0( 2&-"#61!'*-1!-.# #4;0;C8 0;0B 8=8 9C60 380<0B8 =8;08 5@4:C4=A8 30= 14=BC: 64;><10=6 F0=6 3870A8;:0= A430=6:0= C=BC: <4=6C:C@ =8;08 B460=60= 30= :C0B 0@CA ;8AB@8: 30?0B 386C=0:0= D>;B<4B4@ 30= 0<?4@4<4B4@ 2.Mengamati Tegangan Listrik DC dan Tegangan Listrik AC+=BC: <4=6C:C@ B460=60=30= <0:A8<C< + 30= B460=60=?C=20::4?C=20:..F0=614@0A0;30@890@8=60=;8AB@8:&"$30?0B38;0:C:0=34=60= <4=66C=0:0= >A8;>A:>? A4?4@B8 ?030#.$#2  C1C=6:0= B4@<8=0;0<?4@4<4B4@30=!&,,#*:4@0=6:080=A4?4@B8?030#.$#2  83C?:0=34=60= <4=4:0= B><1>;/ <0B8 0?0:07 90@C<<?4@4<4B4@<4=F8<?0=6 *4=F0B0 90@C< 0<?4@4<4B4@B830:<4=F8<?0=6A40:0=0:0=B830:0300@CAF0=6<4=60;8@?030@0=6:080=+;0=68?4@2>100=B4@A41CB34=60=<4=67C1C=6:0=0@CA@0=6:080=:4!&,,#*B460=60= ?030>A8;>A:>?!4<C380=?CB0@D>;BA38D<8A0;=F0?030?>A8A8 <0B8 64;><10=6 B460=60= 38 ;0F0@ >A8;>A:>? <0:0 0:0= B4@;870B 107E0B460=60=14@C107A420@0?4@8>38:A4?4@B8?030#.$#2 #:8@0:8@0:40B0A30=:410E07=30B4;07<4=64B07C8107E0B460=60=F0=6?>;0@8B0A=F0 A4?4@B8 64;><10=6 030;07 B460=60= ;8AB@8: 1>;0:10;8:0608<0=0 98:0 0@CA F0=6 38;4E0B:0= 030;07 0@CA A40@07 8:0 =30<4=60<0B8 B460=60= A40@07 F0=6 3870A8;:0= @0=6:080= 0@CA A40@0730=10B4@08 <4=66C=0:0= >A8;>A:>? A4B4;07 =30 <4=67C1C=6:0= 0@CA:4270==4;90@C<0<?4@4<4B4@<4=F8<?0=630?C=?4@C1070=B460=60=A40@07?030>A8;>A:>?0:0=B4@;870B70=F030;0<A0BC0@07A4?4@B8?030#.$#2 $)4B4;07<4;0:C:0=?4=60<0B0=30@8?4@2>100=B4@A41CB =30 30?0B<4=64B07C8 A49C<;07 ?4@14300= 0=B0@0 B460=60=30= B460=60= "8AB@8:A40@07<4<8;8:8B460=60=F0=6B4B0?A4B80?A00B30=6@058:B460=60=Gambar 8.22Mixer dan bor listrik dioperasikandengan energi listrik.Sumber:Femina, 1995Gambar 8.23OsiloskopGambar 8.24a. Mengamati arus bolak-balik denganamperemeter DC dan osiloskop.b. Mengamati arus searah denganamperemeter DC dan osiloskop.Sumber:Phywe=4@68;8AB@8:A0=60B38?4@;C:0=30;0<:4783C?0=<0=CA80=4@68;8AB@8:38@C<07=3014@0A0;30@8&"$=4@68;8AB@8:8=8380=B0@0=F014@0A0;30@8&4<10=6:8B"8AB@8:*4=0608@&"*&4@=07:07=30<4=34=60@&4<10=6:8B"8AB@8:*4=060$C:;8@*C60A=3020@8;078=5>@<0A8<4=64=08&4<10=6:8B"8AB@8:*4=060$C:;8@8=8*C;8A;078=5>@<0A8B4@A41CB30;0<:4@B0A30=38:C<?C;:0=:4?0306C@C=30C=0:0=;071C:C1C:C38?4@?CAB0:00=A4:>;070B0C304@07:>@0=8=B4@=4B30=<4380;08=C=BC:<4=20@88=5>@<0A8B4@A41CBMari Mencari TahuGalvanometerOsiloskop220 VR220 V(b)OsiloskopGalvanometer220 VR0220 2220 2(a)
194Mudah dan Aktif Belajar Fisika untuk Kelas X4A0@=F00@CA30=B460=60=1>;0:10;8:30?0B380<0B834=60=0D><4B4@@CA30=B460=60=F0=638BC=9C::0=0;0B8=8<4@C?0:0=70@60454:B85=F0&>;0@8B0A ;8AB@8: F0=6 3870A8;:0= 30@8 90@8=60= &"$ 14@C?0 6@058: A8=CA8>30; 34=60= @4:C4=A8   G@CA 454:B85 30?0B 38@C<CA:0= A410608 14@8:CB#$<0:AK 34=60= 20@0 F0=6 A0<0 C=BC: B460=60= 454:B85 #$ 0:0= 38?4@>;47 ?4@A0<00=#$#$#$<0:AK  #$&- 414@0?0&4@14300=&@8=A8?"8AB@8:)40@0730=>;0:0;8:0@8?4=60<0B0=<4;0;C8>A8;>A:>?AC<1CD4@B8:0;380BC@?030 B460=60=  ,2< A430=6:0= A4;0=6 E0:BC<4=C=9C::0=<A2<):0;0A4B80?:>B0:<4<8;8:8C:C@0= 2<L 2<*4=BC:0=0B460=60=<0:A8<C<15@4:C4=A8AC<14@#7#$0&03060<10@B4@1020B460=60=?C=20:..030;07 2<%;47:0@4=0A:0;0D4@B8:0; ,2<<0:0=F014@C?060@8A;C@CAA430=6:0=;8AB@8:1>;0:10;8:<4<8;8:8B460=60=F0=614@C107C107 A4B80? A00B F08BC 14@14=BC: A8=CA>830; 414@0?0 ?4@14300=?@8=A8? ;8AB@8: A40@07 30= 1>;0:10;8: 30?0B =30 ;870B ?030 #$&-  Contoh 8.16I "8AB@8: <C30738B@0=A<8A8:0=30@8?4<10=6:8B:4@C<07@C<07I @CA30=B460=60= <4<8;8:8B460=60=<0:A8<C<B460=60=?C=20::4?C=20:B460=60=A4A00BB460=60=@0B0@0B030==8;08454:B85I "8AB@8:AC;8BC=BC:<4<4=C78:41CBC70=?0A>:0=30;0<9C<;0714A0@I @CA30=B460=60= 70=F0<4<8;8:8=8;08454:B85=F0I "0F0@>A8;>A:>?<4=C=9C::0=60<10@B460=60=1>;0:10;8:0-#,#-*,&#2#)5.$&2253#/(,#*#/I "0F0@>A8;>A:>?<4=C=9C::0=60<10@B460=60=A40@07TVpp1 cm1 cmpenahankabel netralInformasiCara menghubungkan kabelpemanas air dapat dilakukansebagai berikut. Ketiga lubang padasteker, yaitu dua ujung terminalpemanas masing-masingdihubungkan ke kutub positif dannegatif, dan kabel lain berwarna birumenuju netral.untuk Andakabelberaruskabel ditanahkansekringInformation for YouTo connect wires of water heater cando as below. Three hole on the plug,that is two edge heater terminalsconnect to positive and negativepoles and other blue wires towardneutral.
195Listrik Dinamis.. 2<L ,2< ,*460=60=<0:A8<C<=F0030;07+)1.. ,, 038B460=60=<0:A8<C<=F0030;07,1&4@8>3430;0<6@058: 2<):0;07>@8G>=B0;<A2<<0:0 2<L<A2< <A  A@4:C4=A8AC<14@030;07$     G)41C07@0=6:080=F0=6387C1C=6:0=34=60=AC<14@;8AB@8:1>;0:10;8:38C:C@34=60=D>;B<4B4@30=<4=C=9C::0=0=6:0 ,4@0?0:0770@60<0:A8<C<B460=60=1>;0:10;8:AC<14@*C;8A:0=?C;0?4@A0<00==F098:05@4:C4=A8=F0 G#7#$8:4B07C8#$ ,$ G0$8;08B460=60=<0:A8<C<<0:A3878BC=634=60=<4=66C=0:0=?4@A0<00=14@8:CB<0:A#$<0:A,1&4@A0<00=B460=60=38?4@>;4734=60=<4=66C=0:0=?4@A0<00=14@8:CBmakssinVt A8= 2Contoh 8.17)41C07@0=6:080=0@CA1>;0:10;8:<4<8;8:870@60B460=60=A4106085C=6A8E0:BCF08BC A8= 28BC=6;070B460=60=<0:A8<C<+)14?4@8>341B460=60=?C=20::4?C=20:..55@4:C4=A8$2B460=60=454:B85#$6B460=60=A4B4;072  A3 5@4:C4=A80=6C;4@#7#$8:4B07C8&4@A0<00=B460=60=A4106085C=6A8E0:BC A8= 2%;47:0@4=0B460=60=<4@C?0:0=5C=6A8A8=CA>830;B4@7030?E0:BC<0:0?4@A0<00=B460=60=30?0B38BC;8A:0=+A8=2 @03A0 *460=60=<0:A8<C<,<B4@9038?030A00BA8=2 <0:0+ ,1.. +  ,,2#$ +, ,Contoh 8.18Persamaan tegangan bolak-baliksuatu rangkaian listrikmemenuhi persamaanV = 314 sin 50 V.Tentukan tegangan rata-ratayang dihasilkan sumber tersebut.Tantanganuntuk Anda
196Mudah dan Aktif Belajar Fisika untuk Kelas X3.Pemasangan Listrik di Rumah Tangga&030C<C<=F00@CA;8AB@8:F0=638A0;C@:0=:4@C<07@C<0714@0A0;30@8 90@8=60= &"$ 34=60= <4=66C=0:0= 0@CA 30= B460=60= 1>;0:10;8: *070?0=<0AC:=F00@CA;8AB@8:30@8B80=690@8=60=:4@C<07030;07A410608 14@8:CB@CA;8AB@8:<0AC::0;8?4@B0<0<4;0;C8 ','0!3'2 0#)#00B0C ?4<10B0A 30F0 F0=6 14@5C=6A8 <4<10B0A8 30F0 <0:A8<C< F0=6386C=0:0= ;0;C :4 :-7 <4B4@ :>B0: A4:@8=6 30= 0:78@=F0 :4 A4<C0?4@0;0B0= ;8AB@8:&03030A0@=F0?4<10B0A30F0C=BC:<4<10B0A8:C0B0@CA<0AC::4A4B80? @C<07 38B4=BC:0= 14@30A0@:0= ?4<4A0=0= 9C<;07 30F0 F0=6381CBC7:0=)?4A858:0A8:C0B0@CAF0=6B4@A4380180A0=F0<C;0830@8       8:0 ?4<10B0A 30F0 14A0@=F0   30= B460=60= ;8AB@8: 38@C<07 ,30F0<0:A8<C<F0=6<0A8730?0B386C=0:0=030;07 L , E0BB=80@B8=F0A4<C0?4@0;0B0=;8AB@8:F0=638?0:08A420@014@A0<00= B830: 1>;47 <4;41878   E0BB 8:0 ?4<0:080= 30F0 ;8AB@8:;4187 14A0@ 30@8?030   E0BB :C<?0@0= ?4<CBCA 30F0 0:0= <4=4@8<00@CA 14@;4187 A478=660 A420@0 >B><0B8A A0:;0@ ?030 <4=9038'')4:0@0=62>10=3078BC=698:0?030 B4@20B0B=8;080@CA 14@0?0B>B0; 30F0 ?4@0;0B0= ;8AB@8: 38 @C<07 060@ <4=20?08 50:B>@ :40<0=0=)0:;0@ ?4<10B0A 30F0 0:0= BC@C= A420@0 >B><0B8A :4B8:0 B4@90387C1C=60= A8=6:0B :>@A;4B8=6 ;8AB@8: 30= <4=60:810B:0= 0@CA ;8AB@8:B4@?CBCA )4;0=9CB=F0 0@CA ;8AB@8: 70@CA <4;4E0B8 A4:@8=6 C=BC: <4=9060:40<0=0= 414@0?0 ?4@0;0B0= ;8AB@8: 387C1C=6:0= A420@0 B4@?8A07 :4A4:@8=6=F0 <0A8=6<0A8=6 F0=6 B4@30?0B ?030 :>B0: A4:@8=6 CB0<0)4:@8=6$31#B4@1C0B 30@8A4CB0A:0E0BB4<1060B8?8A30=0:0=<4=9038?0=0A :4B8:0 0@CA <4=60;8@ <4;0;C8=F0 )4:@8=6 0:0= B4@10:0@ :4<C380=?CBCA 98:0 38;4E0B8 0@CA 14@;4187)4:@8=6 10=F0: 386C=0:0= ?030 @0=6:080= ;8AB@8: A4?4@B8 ?030 <>18;A4?430<>B>@?4A0E0B@038>30=B4;4D8A8)4B80?A4:@8=6<4<8;8:8=8;08:C0B0@CAF0=6B4;0738B4B0?:0= <8A0;=F0   Gambar 8.25Arus listrik disalurkan olehjaringan PLN.)41C07A4B@8:0  -  ,0:0=38;4=6:0?834=60=A41C07A4:@8=6 8:0A4:@8=6F0=6B4@A438014@=8;08 30= 14@0?0:07=8;08A4:@8=6F0=60:0=38?8;87#7#$!C0B0@CAF0=638?4@;C:0=A4B@8:0030;07  -  , )4:@8=6F0=6386C=0:0=70@CAA438:8B;418714A0@30@8?030 A478=660F0=638?8;87030;07A4:@8=614@=8;08Sumber: Young Scientists, 1997Contoh 8.193 @03A4 A5$ G6 A8= 2 A8=    ,Gambar 8.26Sekringtutup logamtabung kacatutup logamkawat sekringKata Kuncitegangan listrik searahtegangan listrik bolak-balikenergi listrikdaya listrikosiloskoptransmisi daya listrik
197Listrik Dinamis&4<0A0=60= A49C<;07 ;0<?C 38 @C<07 A4108:=F0 387C1C=6:0= A420@0?0@0;4; A4?4@B8#.$#2 30=#.$#2 060@ A4B80? ;0<?C<4=30?0B B460=60= F0=6 A0<0saklar duaarah60 W15 W100 W5 Asekringsumber teganganPLN 220 VGambar 8.28Contoh diagram kabel listrik di rumahsaklarsaklarkotaksekringmeteranstopkontaksakelarstopkontaklampuGambar 8.27Pemasangan lampu secara paralel.pusatpembangkitlistriktransmisitegangantinggigeneratortransformatortransformatortiang listrikpabrikrumahgardu listrikGambar 8.29Bagan transmisi daya listrik jarak jauhTes Kompetensi Subbab F&2+#,#/-#)%#-#.$5,5-#4*)#/ )41C07A4B@8:0;8AB@8:34=60=A?4A858:0A8 - ,38?0A0=6?0301430?>B4=A80; ,30=38=F0;0:0=A4;0<0 <4=8B8BC=64=4@68;8AB@8:F0=6B4@?0:08A4B@8:0B4@A41CB &030A41C07?4<0=0A;8AB@8:B4@20=BC<A?4A858:0A8  :- ,*4=BC:0=014A0@=F04=4@68F0=63870A8;:0=A4;0<0 <4=8B1:C0B0@CA;8AB@8:F0=6<4=60;8@ &4A0E0B*,@0B0@0B038=F0;0:0=90<B80?70@8=F0 8:0?4A0E0B*,387C1C=6:0=B460=60= ,0@CAF0=6<4=60;8@030;07  8:070@60?4@:-7(?  B4=BC:0= 70@60 4=4@68 ;8AB@8: F0=6 386C=0:0= C=BC:<4=F0;0:0=*,A4;0<0A41C;0= 1C;0= 70@8  4;0A:0=0?0F0=638<0:AC334=60=070@60454:B85:C0B0@CA30=B460=60=1>;0:10;8:170@60<0:A8<C<:C0B0@CA30=B460=60=1>;0:10;8:270@60@0B0@0B0:C0B0@CA30=B460=60=1>;0:10;8:)C<14@B460=60=0@CA1>;0:10;8:14A0@=F0 ,)41C07A4B@8:0;8AB@8:34=60=70<10B0= 387C1C=6:0= :4 AC<14@ B460=60= B4@A41CB 8BC=6;07 =8;08454:B85=8;08<0:A8<C<30==8;08@0B0@0B0C=BC:0 B460=60=AC<14@1 0@CAF0=6<4=60;8@0@860<10@6@058:14@8:CBB4=BC:0=;0700@CA<0:A8<C<10@CA454:B8525@4:C4=A8=F0 8:0A4:@8=6F0=6B4@A438014@=8;08   30=   ;4=6:0?8;07 B014; 14@8:CB C=BC:<4=4=BC:0==8;08A4:@8=6F0=60:0=386C=0:0="0<?C*4;4D8A8&4=64@8=6@0<1CB&4<0=660=6@>B84@4:;8AB@8:&2#-#4#/#8#" &(#/(#/!         &,2*/(10waktu(s)I(A)F0=6 <4=60;8@ 30;0< AC0BC ?4=670=B0@A4B80? A0BC A0BC0= E0:BCRangkuman  @CA ;8AB@8: 030;07 <C0B0= 30@8 ?>B4=A80;B8=668 :4 ?>B4=A80; @4=307 !C0B 0@CA;8AB@8: 383458=8A8:0= A410608 <0B0= ;8AB@8:Sumber: Jendela Iptek, 1997
198Mudah dan Aktif Belajar Fisika untuk Kelas X94=8A=F038C:C@ 34=60=<?4@4<4B4@3894;0A:0= >;47C:C<!8@277>5538C:C@ 34=60=,>;B<4B4@%A8;>A:>?3878BC=6 34=60=C:C<%7<B4@9038 ?030:><?>=4==F0(0=6:080=*4@BCBC?@CA"8AB@8:*342*,*/#.*3<4<?4;090@838?4=60@C78 >;47)C<14@*460=60=38?4=60@C78 >;470<10B0="C0A)C7C 4=8A38A41CB&0=90=60<10B0= 4=8A*460=60=3878BC=6 34=60=3878BC=6 34=60=Peta Konsep  #4=C@CB C:C< %7< 14@1C=F8 B460=60=0B0C1430?>B4=A80;0C0BC?4=670=B0@;8AB@8:A410=38=634=60=0@CA;8AB@8:F0=6<4=60;8@<4;0;C8?4=670=B0@B4@A41CB&4@10=38=60==F0A4;0;C:>=AB0=F0=638A41CBA41060870<10B0=  0<10B0= AC0BC @4A8AB>@ 14@60=BC=6 ?030?0=90=6 ;C0A ?4=0<?0=6 30= 70<10B0=94=8A 0<10B0= 94=8A 1070= 14@60=BC=6?030 AC7C  C:C<  !8@277>55 <4=F0B0:0= 107E09C<;07 0@CA ;8AB@8: F0=6 <0AC: ?030 AC0BCB8B8: ?4@2010=60= A0<0 34=60= 9C<;07 0@CA;8AB@8: F0=6 :4;C0@ 30@8 B8B8: 2010=6 B4@A41CB C:C<  !8@277>55 <4=F0B0:0= 107E09C<;07 0;9010@ ?4@C1070= B460=60= F0=6<4=64;8;8=68 AC0BC @0=6:080= B4@BCBC? ;>>?A0<0 34=60= =>;Setelah mempelajari bab ini, tentunya Anda dapatmembuat rangkaian sederhana dan menganalisisnyamenggunakan Hukum Kirchhoff. Dapatkah Andamengidentifikasi alat-alat listrik di rumah yangmenggunakan listrikAC dan DC? Materi manakah yangmasih Anda anggap sulit? Diskusikan materi tersebutdengan teman-teman Anda atau dengan guru FisikaAnda.Refleksi
199Listrik Dinamis *-*)-#)3#-#)3#45+#7#$#/8#/(1#-*/(4&1#4%#/,&2+#,#/-#)1#%#$5,5-#4*)#/ 0<10B0=;8AB@8:30;0<AC0BC:0E0B030;070<10B0=8=80:0=<4=9038098:0?4=0<?0=6=F03860=30:0=198:0?0=90=6=F03860=30:0=298:0AC7C=F03860=30:0=398:090@890@8=F03860=30:0=498:0380<4B4@=F03860=30:0= &030@0=6:080=A4?4@B860<10@66;10B4@08,30=70<10B0=30;0<=F0  !C0B0@CAF0=6<4=60;8@?03070<10B0= 030;070  3  1 4  2  )49C<;07:0E0B30@81070=F0=6A0<0<4<8;8:8380<4B4@A0<0B4B0?8?0=90=6=F0B830:A0<0 8:038;0:C:0=?4=6C:C@0=70<10B0=:0E0BB4@A41CB30= 70A8;=F0 38BC0=6:0= 30;0< 6@058:70:0=24=34@C=6A4?4@B801234R(ohm)I(A)0012340543201 A5 A12232 &4@70B8:0=60<10@14@8:CB!C0B0@CAF0=6A430=638C:C@14A0@=F0030;070  3 1 4  2  )C0BC 0<?4@4<4B4@ 14@70<10B0= 30;0<  8:00<?4@4<4B4@8BC38?0A0=6?030AC<14@B460=60= ,F0=6 <4<8;8:8 70<10B0= 30;0< B4@=F0B0<4=C=9C::0= 0@CA   8:0 AC0BC 70<10B0= 38?0A0=6?0@0;4;?0300<?4@4<4B4@8BC0<?4@4<4B4@8BC0:0=<4=C=9C::0=0@CA30;0<03  1 42C1C=60=A0BC0=14@8:CBF0=614=0@030;070 0<?4@49>C;434B8:1=4EB>=D>;B  2>C;><1>7<22>C;><1  D> ;B  34B8:40<?4@434B8: 2>C;><13D>;B=4EB>= <4B4@ 2>C;><1)C0BC?4@2>100=;8AB@8:38;0:C:0=34=60=<4=6C107C107 70<10B0= ?030 1430 ?>B4=A80; F0=6 B4B0?@058:7C1C=60=:C0B0@CA30=70<10B0=70A8;?4@2>100=B4@A41CB38BC=9C::0=>;476@058:I(A)R(ohm)I(A)R(ohm)IRIRIRIRIRI(A)R(ohm)R(ohm)I(A)33333 (0=6:080=70<10B0=A4?4@B8?03060<10@<4=670A8;:0=70<10B0=B>B0;A414A0@0 3 1 4 2  "8<01C0770<10B0=38@0=6:08 A4?4@B8 60<10@14@8:CB0<10B0=?4=660=B80=B0@0030=1030;0703 14 2ab391810623426  &4@70B8:0=60<10@14@8:CB!C0B0@CAF0=6<4;0;C870<10B0=  ?03060<10@B4@A41CB030;070 3 14 2   *4@A4380B860;0<?C?890@F0=6<0A8=6<0A8=614@B0=30  ,  - 30= AC<14@ B460=60=  , 60@3870A8;:0==F0;0;0<?C -;0<?C;0<?C8BC70@CA387C1C=6:0=34=60=AC<14@B460=60=34=60=20@003C0;0<?C38ACAC=?0@0;4;13C0;0<?C38ACAC=A4@8Tes Kompetensi Bab 8
200Mudah dan Aktif Belajar Fisika untuk Kelas X  0<10@14@8:CB8=8<4=C=9C::0= AC0BC @0=6:08 0@CAA40@074A0@ 70<10B0= 30;0<0030;072B860;0<?C38ACAC=A4@83 B860;0<?C38ACAC=?0@0;4;4A0BC;0<?C38ACAC=?0@0;4;34=60=3C0;0<?C;08=F0=638ACAC=A4@82030bateraiR = 2I = 2 ArE = 20 V5612R8G  "8<0 1C07 ;0<?C 34=60=70<10B0=A0<038ACAC=A4?4@B8?03060<10@&030B460=60=AC<14@ ,B4@=F0B0 <4=670A8;:0= :C0BL1L2L5L3L4+–V0@CA "0<?CF0=6<4<8;8:84=4@68;8AB@8:?0;8=614A0@A4B4;07 A030;07J0"3" 1" 4" 2"  &4@70B8:0=@0=6:080=14@8:CB 8:00@CA;8AB@8:F0=6<4=60;8@<4;0;C8 70<10B0= 030;07  :C0B0@CAF0=6<4;4E0B8  70<10B0= 030;070  3 1  4  2    &4@70B8:0=@0=6:080=14@8:CB*460=60=0=B0@0B8B8:30= ?030 @0=6:080= B4@A41CBAB8 V2 V3 V22030;07,0 ,3 ,1 ,4 ,2,  )41C070:8<4<8;8:8 66; ,30=70<10B0=30;0<   8:00:88=8388A834=60=0@CA B460=60=0=B0@0:43C0B4@<8=0;=F0030;070 ,3 ,1 ,4 ,2 ,03 1 42    &0304;4<4=4;4:B@>:8<80A4;0<0B4@9038@40:A8:8<800:0=B4@9038?4@C1070=4=4@68<4=90384=4@680;8AB@8::8<803 ;8AB@8::0;>@1:0;>@<4:0=8:4:8<80:0;>@2:8<80;8AB@8:  &4@70B8:0=60<10@14@8:CB 8:0A4E0:BC387C1C=6:0=34=60=10B4@08B4@=F0B060;D0=><4B4@<4=C=9C::0= 0=6:0 =>;<0:0=8;0870<10B0=030;0703 14 2  )4A4>@0=6<4<0:08A4B@8:0;8AB@8:F0=614@BC;8A:0=  - ,)4B@8:0B4@A41CB38?0A0=6?030B460=60= ,A4;0<0 90<=4@68;8AB@8:F0=6B4@?0:08>;47A4B@8:0;8AB@8:8BC030;070 L  3  L  1  L  4 L  2 L   )41C071>;0;0<?C14@C:C@0= , - 8:074=30:38?0A0=6?030AC<14@B460=60= ,34=60=30F0B4B0?;0<?C70@CA38@0=6:08:0=A4@834=60=70<10B0=03 14 2 *860?>B>=6:0E0BF0=6A0<0B410;30=A0<0?0=90=614@BC@CBBC@CBB4@1C0B30@814A8109030=B4<106038A0<1C=6<4=9038A0BC=B0@0:43C0C9C=6:0E0B3814@81430?>B4=A80; , 8:070<10B0=94=8A<0A8=6<0A8=6030;07 K< L K<30= L K<78BC=61430?>B4=A80;0=B0@0:43C0C9C=6A4B80?:0E0B &4@70B8:0=60<10@14@8:CB08BC=630=14@0?001 #7#$-#)1&24#/8##/$&2*,54*/*%&/(#/4&1#41 8:070<10B0=:0E0B?4@B0<0 >7<78BC=670<10B0=?4=660=B8ACAC=0=:0E0B8=8 &4@70B8:0=@0=6:080=;8AB@8:?03060<14@14@8:CB8BC=6;0730= C0 1C07 ;0<?C ;8AB@8: <0A8=6<0A8=6 34=60=A?4A858:0A8 , -30= , -38ACAC=A4@830= 387C1C=6:0= :4 AC<14@ B460=60=  ,*4=BC:0=0:C0B0@CAF0=6<4=60;8@30;0<@0=6:080=130F038A8?0A8?030;0<?C , -230F038A8?0A8?030;0<?C , -32 Vabc15 Vd1054I3I1I2ab6 V10 V8 VI3I1I224  *860 1C07 :0E0B 38ACAC= ?0@0;4; &4@10=38=60=?4=0<?0=6:4B860:0E0BB4@A41CB030;07   A430=6:0=?4@10=38=60=?0=90=6=F0  08BC=60@CA?030:0E0B:4 30=:4 98:0:0E0B?4@B0<0