Question

using kirchhoff rule write the expression for the current I1 I2 and I3​

Answer 1

Applying Kirchhoff’s second rule, we get:

-2 - 4I1 + 3I2 +1= 0

4I1 - 3I2 = - 1 ------------(1)

Also, as per second rule, we get:

-2 - 4I1 - 2I3 + 4 = 0

2I1 + I3 = 1

Writing I3 as sum of I1 and I2, it becomes:

2I1 + (I1 + I2 ) = 1

3I1 + I2 = 1 ------------(2)

Solving 1 and 2, we get:

I1 = 2/13A

I2 = 1 - 3I1 = 7/13A

I3 = I1 + I2 = 9/13A