In the circuit given below, the value of R is _________(a) 10 Ω(b) 18 Ω(c) 24 Ω(d) 12 ΩThe 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

In the circuit given below, the value of R is _________(a) 10 Ω(b) 1

1.	In the circuit given below, the value of R is _________(a) 10 Ω(b) 18 Ω(c) 24 Ω(d) 12 ΩThe 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» 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.

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