Question

Find the value of the source current from the following circuit.

(a) 2.54A

(b) 6.67A

(c) 3.35A

(d) 7.65A

The question was asked during a job interview.

Query is from Kirchhoff’s Laws and Network Solution in chapter Network Theorems Applied to AC Networks of Basic Electrical Engineering

Answer 1

The correct option is (a) 2.54A

Explanation: I3 =(3+j0)A

V2 =I3R=(3+j0)(8+j0)=(24+j0)V

I2=V2/Xc=(j1.5) A

I1 =I2 +I3 =(0+j1.5)+(3+j0)=(3+j1.5)A

I1=(3^2+1.5^2)^1/2= 3.35A.