The GATE Grind

GATE 2022 IN – Question 60

Electrical Circuits and Machines · AC circuits and resonance · 2 marks · Numerical answer

A 1 kHz sine-wave generator with internal resistance 50 $\Omega$ has open-circuit voltage 10 V peak-to-peak. A capacitor connected across its output reduces the voltage to 8 V peak-to-peak. Its capacitance is ______ μF (two decimal places).

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 2.35 to 2.43

Explanation

For source resistance R and shunt C, magnitude ratio is 1/√[1+(ωRC)²]=8/10=0.8.

Thus ωRC=0.75 and C=0.75/(2π×1000×50)=**2.39 μF**.