The charge Q(t) on a capacitor in an LRC-circuit satisfies L- +R- + Q = V(t)...

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The charge Q(t) on a capacitor in an LRC-circuit satisfies L- +R- + Q = V(t) d²Q dQ 1 d1² dt where L = 0.5 H, R = 222, C = F. (a) If V (t) = sin(41) V and Q(0) = 0 = Q'(0), find Q(1). (b) Sketch the transient solution, the steady state solution, and the full solution Q(t) for 0 ≤ ≤ 10. (You may use graphing software to generate this sketch.) The charge Q(t) on a capacitor in an LRC-circuit satisfies L- +R- + Q = V(t) d²Q dQ 1 d1² dt where L = 0.5 H, R = 222, C = F. (a) If V (t) = sin(41) V and Q(0) = 0 = Q'(0), find Q(1). (b) Sketch the transient solution, the steady state solution, and the full solution Q(t) for 0 ≤ ≤ 10. (You may use graphing software to generate this sketch.)

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To solve the given differential equation for the charge Qt on a capacitor in an LRC circuit well use the method of undetermined coefficients Lets solv... View the full answer