The RLC circuit described in Problem 28 and shown in Figure P28 has the following differential equation

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The RLC circuit described in Problem 28 and shown in Figure P28 has the following differential equation model:

 LCü, + RCv, + v, RCv,(1)


Use the Laplace transform method to solve for the unit-step response of υ0(t) for zero initial conditions, where C = 10-5 F and L = 5 , 10-3 H.

For the first case (a broadband filter), R = 1000 Ω. For the second case (a narrowband lter), R = 10 Ω. Compare the step responses of the two cases.

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