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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) 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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