An RC circuit has an emf given (in volts) by 400 cos2t, a resistance of 100 ohms, and a capacitance of 10^{-2} farad. Initially there is no charge on the capacitor, so at q(0) = 0. Find the current in the circuit at any time t.
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So, we have: 400 cos(2t) = q(t)/C + R*i(t) where q(t) is the charge on the capacitor at time t, C is the capacitance, R is the resistance, and i(t) is the current at time t. We are given that C = 10.2 F and R = 100 ohms. Also, we know that the current i(t) is Show more…
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An RC circuit has an EMF given in volts by 400cos(2t), a resistance of 100 ohms, and a capacitance of 10^-2 farad. Initially, there is no charge on the capacitor. Find the current in the circuit at any time t. Use dq/dt + q/RC = E/R, which becomes dq/dt + q = 4cos(2t).
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