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(i1 – i2) – 30 + 3i2 = 0 or – i1 + 2i2 = 10 …… (ii)
Solving equation (i) and (ii) for i2, we get i2 = 5 A
