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# CBSE Class 12-science Answered

Find the current in each branch of the given circuit.
Asked by hitanshu92 | 08 Jul, 2021, 07:10: PM

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)

1 - 2 + 2 = 3  or  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)

Let us eliminate 1 in eqn.(1) using eqn.(3) and rewrite eqn.(1) as
-5 2 - 4 3 = 1 .....................(4)

BY solving eqn.(4) and eqn.(2) , we get 2 = -15/19 A  and 3 = 14/19 A
By substituting 2 and 3 in eqn.(3) , we get 1 = 1/19 A

Answered by Thiyagarajan K | 08 Jul, 2021, 11:03: PM

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