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Q4. Find the amplitude and phase of the signal through the filter A sinusoid wit...

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Q4. Find the amplitude and phase of the signal through the filter

A sinusoid with 1\text{V}1\text{V} peak amplitude is applied at the input of a filter having the transfer function \frac{2\pi\times 10^4}{s+ 2\pi\times 10^4}\frac{2\pi\times 10^4}{s+ 2\pi\times 10^4}where ss is the Laplace variable. Fine the peak amplitude and the phase (relative to that of the input sinusoid) of the output sinusoid if the frequency of the input sinusoid is 10\text{kHz}10\text{kHz}.

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