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Homework Statement
Calculate the current in the capacitor shown if the voltage input is
a. v1(t) = 10cos(377t - 30°)V
b. v2(t) = 12sin(377t + 60°)V
Give answers in both time and frequency domain.
Homework Equations
I = dQ/dt = C * dV/dt
The Attempt at a Solution
I = dQ/dt = C * dV/dt
I = 1ρF * (d/dt)(10 * cos(377t - 30°)v
Took derivative:
I(t) = 1μF * (-3770 * sin(377t - 30°)
I(t) = (-3.77 x 10-3)(sin(377t - 30°))A
If the above is correct, where can I start with converting this to frequency domain though? I know it's supposed to be something like in form e^t.
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