Question

An AC power supply is connected to a capacitor of capacitance 3.5 μF. At time t...

An AC power supply is connected to a capacitor of capacitance 3.5 μF. At time t = 0 the power supply is switched on and starts providing a time-dependent voltage v(t) = V0 cos(ωt) across the capacitor, where V0 = 4.1 V and ω = 372 rad/s. The capacitor is initially uncharged.

A)Find the current, in milliamperes with its sign, through the capacitor at time t = 2.5 s.

B)Calculate the voltage across the capacitor, in volts with its sign, at time t = 2.5 s.

C)What is the magnitude of the maximum current through the capacitor, in milliamperes?

Please show all work and steps please! (:

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