Question

Find the current through 3Ω resistor in the circuit shown below.

(a) 0.45

(b) 0.56

(c) 0.67

(d) 0.78

I have been asked this question by my school principal while I was bunking the class.

I'm obligated to ask this question of Compensation Theorem topic in portion Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Correct choice is (c) 0.67

Easy explanation: Total current = 10 / (4 + (6||2||3) = 2A. Current through 3Ω resistor= 2 x (6||2)/(3 + (6||2)) = 0.67A.