L = 100 mH Transform the circuit of Fig. 1 to the s domain and write expressions

Question

L = 100 mH

Transform the circuit of Fig. 1 to the s domain and write expressions for V1 (s) and V0 (s ), first for a half-period interval when vi(t) is positive, and then for a half-period when vi(t) is negative. Include initial conditions for the capacitance and inductance. Make consistency checks to ensure that your expressions are accurate. Take the inverse transform of V1(s) and V0(s). One of them will be of the form ae - alpha t sin(beta) and the other will be of the form be - alpha t cos(beta t + Psi) + c or be - alpha t [cos (beta t) cos (Psi) - sin(beta) sin (Psi)] + c

Explanation / Answer

actually C becomes 1/Cs , so plug in for C to get Zc(s) and for L ZL(s) = Ls = 0.1 s (i can see L value = 100mH) and R remains R in the s domain. if you have a voltage source vs(t) turn it to Vs(s) , and also the current i(t) to I(s)

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