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Question: ex36 consider a causal lti system implemented as the rlc...

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Ex-3.6) Consider a causal LTI system implemented as the RLC circuit shown in the figure below. In this circuit ig(t) is the input voltage. The yoltage Vo(t) across the capacitor is considered the system output SR=2 Ohm 0.1 F V(t) L- 1H system fiunction Ho)Vs) Ig(s) I) Derive the analytical expression for the system function H(s) II) Express the differential equation describing the input and output relationship for this ystem III) Sketch the pole zero diagram for this system IV) Is this system stable 2 If so, why? V) Find the impulse response for this system. VI) Sketch the impulse response as a function of time(t)

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