GATE EE 2015 Set 2 — Question 55
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Electric Circuits → Fourier Analysis & Sampling → Fourier Series (CT & DT)
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Question
A symmetrical square wave of duty cycle has amplitude of and time period of . This square wave is applied across a series RLC circuit with , and . The amplitude of the component of the capacitor voltage (in Volt) is ______.
Correct answer
190 to 192
Solution
1.The Fourier series expansion of a symmetrical square wave with amplitude is .
2.Given and , the fundamental frequency is .
3.The component is the fundamental (). Its amplitude is .
4.In the series RLC circuit, at :
5.Since , the circuit is at resonance. The current amplitude is .
6.The amplitude of the capacitor voltage is .
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