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A circuit consists of an excitation voltage VS, a resistor network and a resistor R. For different values of R, the values of V and I are as given, R = ∞, V = 5 volt; R = 0, I = 2.5 A; when R = 3 Ω, the value of V is __________(a) 1 V(b) 2 V(c) 3 V(d) 5 VThe question was asked in a national level competition.My doubt stems from Advanced Problems Involving Complex Circuit Diagram topic in portion Network Theory and Complex Circuit Diagram of Network Theory

Answer»

Correct choice is (c) 3 V

The explanation: When R = ∞, V = 5v,

Then, Voc = 5V and the CIRCUIT is open

When R = 0, I = 2.5A

Then, ISC = 2.5 and the circuit is short circuited.

So, Req = \(\frac{V_{OC}}{I_{SC}}\)

= \(\frac{5}{2.5}\) = 2 Ω

Hence the voltage across 3 Ω is 3 volt.



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