Solveeit Logo

Question

Question: In the circuit shown in figure, find the current through the branch *BD* <img src="https://cdn.pure...

In the circuit shown in figure, find the current through the branch BD

A

5 A

B

0 A

C

3 A

D

4 A

Answer

5 A

Explanation

Solution

The current in the circuit are assumed as shown in the fig.

Applying KVL along the loop ABDA, we get

– 6i­1 – 3 i2 + 15 = 0 or 2i1 + i2 = 5 …… (i)

Applying KVL along the loop BCDB, we get

– 3(i­1i2) – 30 + 3i2 = 0 or – i1 + 2i2 = 10 …… (ii)

Solving equation (i) and (ii) for i2, we get i2 = 5 A