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Q#1 Sinusoidal Steady State Analysis GATE EE 2015 NAT +2 marks -0 marks

A symmetrical square wave of 50% duty cycle has amplitude of ±15V and time period of . This square wave is applied across a series RLC circuit with  L=10mH and . The amplitude of the 5000 rad/s component of the capacitor voltage (in volt) is ____________.          

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Explanation:

Assuming the supply voltage is represented by V (peak)

Fourier series of square wave:

 

 ms

 rad/sec

So, we are interested in fundamental.

 

Since , circuit is in resonance. Hence, fundamental current can be obtained as,

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