Consider the circuit below where R = 10/3 Ω, L = 5 H, and C = 0.1 F. a

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Consider the circuit below where R = 10/3 Ω, L = 5 H, and C = 0.1 F. a)Find the transfer function H(s) = OUT(s)/IN(s) and the impulse response h(t). b)Find the zero input response at out( t ) when the inductor has an initial current from top to bottom; iL(0) = 0.1 A. There is zero initial charge on the capacitor.

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Consider the circuit below where $R = 10 / 3 Ω, L = 5 H$ , and $C = 0.1 F$ . a)Find the transfer function $H (s) = O U T (s) / I N (s)$ and the impulse response $h (t)$ . b)Find the zero input response at out( $t$ ) when the inductor has an initial current from top to bottom; $i_{L} (0) = 0.1 A$ . There is zero initial charge on the capacitor.