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An RC circuit includes a 2-k Ω resistor, a battery with emf of 12.0 V and...

An RC circuit includes a 2-k Ω resistor, a battery with emf of 12.0 V and a capacitor. At t = 0 the switch is closed and the charging of the capacitor begins. Knowing that the time constant of the circuit is measured to be 1 ms calculate: (a) the capacitance of the capacitor; (b) the time it takes for the voltage across the resistor to reach 4 V, and (c) the charge accumulated on the capacitor during this time interval.

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