Consider the electric circuit shown in the figure, where ε, is a voltage source. The following two questions are unrelat

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Consider the electric circuit shown in the figure, where ε, is a voltage source. The following two questions are unrelated. L Ri M + EO w C R2 (a) By the loop method, derive the transfer function G(s) = V,(s), where V (s) and E,(s) are E,($) the Laplace transforms of the inductor voltage and the voltage source £g. (b) By the node method, derive the state equations of the circuit, with e, as the input.