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Contoh Soal 7
Dari rangkaian listrik di samping hitunglah:
a) Kuat arus pada masing-masing cabang
b) Beda potensial antara titik E juga antara E dan C
Jawab:
a) Menurut Hukum I Kirchoff:
+ = … … … (1)
3
2
1
Loop 1 (AEFDA):
∑ . + ∑ = 0
( + ) + . − = 0
1
1
3
3
1
1
(2Ω + 1Ω) + . 3Ω − 6 = 0
Loop II (BEFCB): 1 3
3Ω + 3Ω − 6 = 0
∑ . + ∑ = 0 1 3
3Ω + 3Ω = 6
( + ) + . − = 0 1 3
3
2
1
3
2
2
1 Ω + 1 Ω = 2 … … … (2)
(5Ω + 1Ω) + . 3Ω − 6 = 0 1 3
3
2
6Ω + 3Ω − 6 = 0 2 x (2) : 2Ω + 2 Ω = 4
2
3
1
3
6Ω + 3Ω = 6 (3) : −2 Ω + 1 Ω = 2 V +
3
2
1
3
2 Ω + 1 Ω = 2 … … … (2) 3 Ω = 6 V
3
2
3
Berdasarkan Hukum I Kirchoff, maka: = ,
= − 1 Ω + 1 Ω = 2
2
3
1
3
1
2 Ω ( − ) + 1 Ω = 2 V 1 Ω + 1 Ω .1,2 A = 2
3
1
3
1
2 Ω − 2 Ω + 1 Ω = 2 V = 2 − (1 Ω .1,2 A) = 2 − 1,2
1
3
3
1
−2 Ω + 3 Ω = 2 V … … … . (3) = ,
3
1
+ =
Jadi: 1 2 3
= , 0,8 + = 1,2 A
2
= , = 1,2 A − 0,8 A
2
= , = ,
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