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supplying a time-dependent electromotive force V (t). The charge q on the capacitor obeys

R dq/dt + q/C = V (t)

Assuming that initially, at time t = 0, there is no charge on the capacitor, and given that

V (t) = V0 sin ωt, find the charge on the capacitor as a function of time.

2- Hey, so I want to know if i'm doing this right.

I rearranged and substituted V (t) = V0 sin ωt to get: dq/dt = VoSinωt/R - q/RC

Next I move dt to the right hand side of the equation and integrated to get:

q(t) = - VoCosωt/ωR - qt/RC + const.

For q as a function of t is this the right answer?

Thanks