In the RLC electrical circuit shown below, assuming zero initial conditions, find the following: (a) The time

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In the RLC electrical circuit shown below, assuming zero initial conditions, find the following:

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(a) The time domain equation relating \(i(t)\) and \(v_{1}(t)\).

(b) The time domain equation relating \(i(t)\) and \(v_{2}(t)\).

(c) The component transfer functions

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The overall system transfer function

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