A 4.60-mu F capacitor that is initially uncharged is connected in series with a

Question

A 4.60-mu F capacitor that is initially uncharged is connected in series with a 7.50-k Ohm resistor and an emf source with epsilon = 245 V and negligible internal resistance. Just after the circuit is completed, what are (a) the voltage drop across the capacitor; (b) the voltage drop across the resistor; (c) the charge on the capacitor; (d) the current through the resistor? (e) A long time after the circuit is completed (after many time constants) what are the values of the quantities in parts (a)-(d)?

Explanation / Answer

a) initially the voltage drop across the capacitor is VC = 0

b) across the resistor VR = e = 245 V

c) initial charge on the capacitor is q = 0 C

d) initial current Imax = e/R = 245 / 7500

Imax = 0.0326 A

After a long time

a) Vc = e = 245 V

b) VR = 0

c) Q = c * e = 4.6 * 10^-6 * 245

        Q =1.12 mC

d) final current I = 0 A

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