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Consider the RLC circuit below with R = 1/250, L = 0.02 H, C = 0.02 F which has transfer function v, (t) R i(t) + v(t) 1 1+ RC jw + LC (jw) H(w) (a) Write a MATLAB script to plot the magnitude and phase of H(w) for 0 w 100 rad/s. (b) This circuit tends to amplify certain frequencies, in the sense that the amplitude of the output v(t) is greater than the amplitude of the source vs(t). From your plot, what frequency appears to be amplified the most? (Move cursor over plot to see the individual values.) (c) Let wi be the frequency from part (b). From your plot, what would be the response v(t) of the circuit to the input v. (t) = cos(wit)? Activate Wine Go to Settings to