In the circuit given below, the value of R in the circuit, when the current is zero in the branch CD is _________(a) 10 Ω(b) 20 Ω(c) 30 Ω(d) 40 ΩThis question was addressed to me in exam.Query is from Advanced Problems on Network Theory topic in chapter Network Theory and Complex Circuit Diagram of Network Theory

In the circuit given below, the value of R in the circuit, when the cu

1.	In the circuit given below, the value of R in the circuit, when the current is zero in the branch CD is _________(a) 10 Ω(b) 20 Ω(c) 30 Ω(d) 40 ΩThis question was addressed to me in exam.Query is from Advanced Problems on Network Theory topic in chapter Network Theory and Complex Circuit Diagram of Network Theory
Answer» Right option is (d) 40 Ω Explanation: The current in the branch CD is ZERO if the POTENTIAL difference in the branch CD is zero. That is, VC = VD Or, V10 = VC = VD = VA × \(\frac{10}{15}\) VR = VA × \(\frac{R}{20+R} \) And V10 = VR ∴ VA × \(\frac{10}{15}\) = VA × \(\frac{R}{R+20} \) ∴ R = 40 Ω.

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