CBSE Class 12-science Answered
Find the current in each branch of the given circuit.
Asked by hitanshu92 | 08 Jul, 2021, 07:10: PM
Expert Answer
Let us assume the current distribution in the given circuit as given in the figure.
Let us apply Kirchoff's voltage law to the top loop that is marked as (I)
4 
1 - 2 + 2 = 3 or 4 1 - 2 = 1 .............................(1)
1 - 2 + 2 = 3 or 4 1 - 2 = 1 .............................(1)Let us apply Kirchoff's voltage law to the top loop that is marked as (II)
2 - 3 3 + 5 = 2 or 2 - 3 3 = -3 .............................(2)At node A , if we apply Kirchoff's current law ,
we get , 1 + 2 + 3 = 0 or 1 = - 2 - 3 ..........................(3)
1 + 2 + 3 = 0 or 1 = - 2 - 3 ..........................(3)Let us eliminate 1 in eqn.(1) using eqn.(3) and rewrite eqn.(1) as
1 in eqn.(1) using eqn.(3) and rewrite eqn.(1) as-5 2 - 4 3 = 1 .....................(4)
2 - 4 3 = 1 .....................(4)BY solving eqn.(4) and eqn.(2) , we get 2 = -15/19 A and 3 = 14/19 A
2 = -15/19 A and 3 = 14/19 ABy substituting 2 and 3 in eqn.(3) , we get 1 = 1/19 A
2 and 3 in eqn.(3) , we get 1 = 1/19 A
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