The GATE Grind

GATE 2026 EC – Question 31

Networks, Signals and Systems · Sinusoidal Steady State Analysis · 1 mark · Numerical answer

Consider the circuit shown in the Figure, where the input $v_i(t)$ is in Volt. The average power (in mW) dissipated in the load resistance of 1 kΩ at the resonant frequency is ________. (rounded off to two decimal places)

Diagram for GATE 2026 EC question 31

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 71.64 to 72.36

Explanation

The ideal voltage source is directly across the 1 kΩ load. $P=V_{rms}^2/R=(12/\sqrt2)^2/1000=72$ mW.