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Two batteries of 7 volts and 13 volts and internal resistance 1 ohm and 2 ohm respectively are connected in parallel with a resistance of 12 ohm. Find the current through each branch of the circuit. Book Ans: 0.3684; and 0.1842

Two batteries of 7 volts and 13 volts and internal resistance 1 ohm and 2 ohm respectively are connected in parallel with a resistance of 12 ohm. Find the current through each branch of the circuit. 
Book Ans: 0.3684; and 0.1842

Grade:12th pass

2 Answers

Shivansh
askIITians Faculty 267 Points
5 years ago
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The answers are given in fractions, convert to decimals to match with the book
Dnyaneshwari Ganesh Nanavare
13 Points
2 years ago
-12(I1+I2) -1I1+7=0
12(I1+I2) +1I1=7 _______1
FOr the loop CEFCD
-12(I1+I2) -2I=13 ________2
From 1&2
2I -I1=13-7=6
I1=2I2-6
substititing I1in value in 2
I2=85/38=2.237A
I1=2I 2-6
I1=2 x 85/38-6=-1.526A
I=I1+I2=-1.526+2.237=0.711A
Potential difference across 12 ohm resistance
V=0.711 x 12=8.53 v

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