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In the circuit given below, the value of R is ____________(a) 12 Ω(b) 6 Ω(c) 3 Ω(d) 1.5 ΩThis question was posed to me by my school principal while I was bunking the class.I want to ask this question from Advanced Problems Involving Complex Circuit Diagram in section Network Theory and Complex Circuit Diagram of Network Theory

Answer»

Right CHOICE is (b) 6 Ω

For EXPLANATION I WOULD say: The RESISTANCE of parallel combination is given by,

Req = \(\frac{40}{3} \) – 10 = 3.33 Ω

Or, \(\frac{1}{3.33} = \frac{1}{12} + \frac{1}{15} + \frac{1}{15}\)

Or, R = 6 Ω.



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