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GATE 2024 EE – Question 13

Electric Circuits · Network solution methods: KCL, KVL, Node and Mesh analysis · 1 mark · Multiple choice

All the elements in the circuit are ideal. The power delivered by the 10 V source in watts is

Diagram for GATE 2024 EE question 13
  1. 0
  2. 50
  3. 100
  4. dependent on the value of $\alpha$

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Correct answer: (A) 0

Explanation

Let $v$ be the voltage at the top of the 1 Ω resistor. The 10 A source forces 10 A into that node through the 2 Ω resistor. KCL: $10=v+\dfrac{v-10}{\alpha}$, so $v(1+\dfrac1\alpha)=10(1+\dfrac1\alpha)$ and $v=10$ V for any $\alpha$. Then the current through $\alpha$ is $(10-v)/\alpha=0$, so the 10 V source delivers no power.