Question: The equation for the voltage (t) across a capacitor as a function of time is where i(t) is the applied current and Q 0 is

The equation for the voltage υ(t) across a capacitor as a function of time is

i(t) dt + Qo CL v(t)

where i(t) is the applied current and Q₀ is the initial charge. A certain capacitor initially holds no charge. Its capacitance is C = 10^–7 F. If a current i(t) = 0.2[1 % sin (0.2t)] A is applied to the capacitor, compute the voltage υ(t) at t = 1.2 s if its initial velocity is zero.

i(t) dt + Qo CL v(t)

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