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GATE 2022 EE – Question 55

Electric Circuits · Network solution methods: KCL, KVL, Node and Mesh analysis · 2 marks · Numerical answer

In the circuit shown below, the magnitude of the voltage $V_1$ in volts, across the $8\ \text{k}\Omega$ resistor is ________. (round off to nearest integer)

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Correct answer: 100

Explanation

The controlled current source forces the current $I$ through the $8\ \text{k}\Omega$ resistor, so $V_1=8000I$. The KVL around the left loop is $75=2000I+0.5V_1=2000I+4000I=6000I$, so $I=12.5$ mA and $V_1=8\text{ k}\Omega\times12.5\text{ mA}=100$ V.