In the circuit given below, it is given that VAB = 4 V for RL = 10 kΩ and VAB = 1 V for RL = 2kΩ. The values of the Thevenin resistance and voltage for the network N are ____________(a) 16 kΩ and 30 V(b) 30 kΩ and 16 V(c) 3 kΩ and 6 V(d) 50 kΩ and 30 VThe question was posed to me in a national level competition.The origin of the question is Thevenin Theorem Involving Dependent and Independent Sources in portion Useful Theorems in Circuit Analysis of Network Theory

In the circuit given below, it is given that VAB = 4 V for RL = 10 k�

1.	In the circuit given below, it is given that VAB = 4 V for RL = 10 kΩ and VAB = 1 V for RL = 2kΩ. The values of the Thevenin resistance and voltage for the network N are ____________(a) 16 kΩ and 30 V(b) 30 kΩ and 16 V(c) 3 kΩ and 6 V(d) 50 kΩ and 30 VThe question was posed to me in a national level competition.The origin of the question is Thevenin Theorem Involving Dependent and Independent Sources in portion Useful Theorems in Circuit Analysis of Network Theory
Answer» Right choice is (b) 30 kΩ and 16 V To ELABORATE: When RL = 10 kΩ and VAB = 4 V Current in the circuit I = \(\frac{V_{AB}}{R_L} = \frac{4}{10}\) = 0.4 mA Thevenin voltage is given by VTH = I (RTH + RL) = 0.4(RTH + 10) = 0.4RTH + 4 Similarly, for RL = 2 kΩ and VAB = 1 V So, I = \(\frac{1}{2}\) = 0.5 mA VTH = 0.5(RTH + 2) = 0.5 RTH + 1 ∴ 0.1RTH = 3 Or, RTH = 30 kΩ And VTH = 12 + 4 = 16 V.

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