You have designed and built an electrical circuit with linear components which has an input x(t) and output y(t) related

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You Have Designed And Built An Electrical Circuit With Linear Components Which Has An Input X T And Output Y T Related 1 (77.77 KiB) Viewed 19 times

You have designed and built an electrical circuit with linear components which has an input x(t) and output y(t) related by dºyệt) dy(t) 3- +4- +2y(t) = 36 dt2 dt dt dx(t) - 3x(t) a) Determine the Laplace transform of the impulse response, H($). b) Sketch a pole-zero plot showing the region of convergence, giving your reasoning. c) Determine the magnitude of the Fourier transform at the frequency 2 Hz. d) What would be the practical implication for the operation of your circuit, if you changed the components in your circuit, in a way such that the coefficient of the first term in the equation above becomes 1 (instead of 3)?