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GATE 2023 BM – Question 46

Electrical Circuits · Network Theorems · 2 marks · Multiple choice

In the shown 10 V circuit, what load resistance R gives maximum power dissipation in R?

Diagram for GATE 2023 BM question 46
  1. 1.2 kΩ
  2. 2.2 kΩ
  3. 3.2 kΩ
  4. 4.2 kΩ

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Show answer and explanation

Correct answer: (B) 2.2 kΩ

Explanation

For maximum power transfer, R equals the Thévenin resistance seen at its terminals. Deactivate the ideal ten-volt source by shorting it. The two- and three-kilohm resistors then lie in parallel, giving 2×3/(2+3)=1.2 kΩ, in series with one kilohm. Total is 2.2 kΩ, B.

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