GATE 2023 BM – Question 16
For the shown series circuit with R=1 kΩ, C=100 μF and source 100cos(ω₀t) V, at which angular frequency ω₀ in rad/s is the capacitor-voltage amplitude maximum?
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Correct answer: (D) 0
Explanation
The capacitor transfer-function magnitude is 1/√[1+(ωRC)²]. This decreases monotonically for nonnegative frequency and is largest at ω=0, where it equals one. Thus the capacitor reaches the full source voltage at DC, D. There is no inductance to produce a nonzero resonant peak.