Question

In the circuit given below, it is given that VAB = 4 V for RL = 10 kΩ and VAB = 1 V for RL = 2kΩ. The value of Norton resistance for the network N is ____________ (a) 16 kΩ (b) 30 kΩ (c) 3 kΩ (d) 50 kΩ The question was posed to me by my college director while I was bunking the class. My question is from Norton’s Theorem Involving Dependent and Independent Sources in section Useful Theorems in Circuit Analysis of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Right answer is (b) 30 kΩ The best I can explain: When RL = 10 kΩ and VAB = 4 V Current in the circuit \(\frac{V_{AB}}{R_L} = \frac{4}{10}\) = 0.4 mA Norton voltage is given by VN = I (RN + RL) = 0.4(RN + 10) = 0.4RN + 4 Similarly, for RL = 2 kΩ and VAB = 1 V So, I = \(\frac{1}{2}\) = 0.5 mA VN = 0.5(RN + 2) = 0.5 RN + 1 ∴ 0.1RN = 3 Or, RN = 30 kΩ.