Question

In the circuit given below, the value of R is _________

(a) 10 Ω

(b) 18 Ω

(c) 24 Ω

(d) 12 Ω

The question was asked by my college director while I was bunking the class.

My question is based upon Advanced Problems on Network Theory topic in division Network Theory and Complex Circuit Diagram of Network Theory

Answer 1

Right answer is (d) 12 Ω

Best explanation: By KCL,

∴ \(\frac{V_P-40}{1} + \frac{V_P-100}{14} + \frac{V_P}{2}\) = 0

Or, 22 VP = 660

∴ VP = 30 V

Potential difference between node x and y = 60 V

∴ -I – 5 + \(\frac{40-30}{I}\) = 0

Or, I = 5 A

∴ R = \(\frac{60}{5}\)= 12 Ω.