2) (12.5 pts): A 4 µF capacitor with an initial voltage of v(0)=2V is connected to a 12-V battery through a resistor, R= 5k\Omega at t = 0. Find the voltage across and current through the capacitor for t > 0 and sketch versus time.
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We know that the voltage across a capacitor is given by the equation Vc(t) = V0 * (1 - e^(-t/RC)), where V0 is the initial voltage, t is the time, R is the resistance, and C is the capacitance. Show more…
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