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GATE 2025 BM – Question 37

Electrical Circuits · AC Circuits and Resonance · 2 marks · Multiple choice

Voltage $V_s=5\sin(100t+\pi/2)$ V drives current $I=10\sin(100t+\pi/6)$ mA. Find average dissipated power in mW.

  1. 0.0
  2. 12.5
  3. 25.0
  4. 50.0

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Show answer and explanation

Correct answer: (B) 12.5

Explanation

The voltage/current phase difference is π/2−π/6=π/3. Average power is half the peak-product times cos of that phase: (5×10/2)cos(π/3)=25×1/2=12.5 mW. Thus B.

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