A 4.9S-muF capacitor that Is initially uncharged is connected in series with a 7

Question

A 4.9S-muF capacitor that Is initially uncharged is connected in series with a 7.90-k Ohm resistor and an emf source with epsilon = 115 V and negligible Internal resistance. Just after the circuit is completed, what is the voltage drop across the capacitor? Just after the circuit Is completed, what is the voltage drop across the resistor? Just after the circuit is completed, what is the charge on the capacitor? Just after the circuit is completed, what is the current through the resistor? 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) Just after the circuit is completed, the voltage drop across the capacitor is zero

b) Just after the circuit is completed, the voltage drop across the resistor is 115 V

c) Just after the circuit is completed, the charge on the capacitor is zero

d) Just after the circuit is completed, the current through the resistor is 115/7900 =0.0146 A

e) Vc = Vapplied = 115V
VR = R*current
Q = C*V = 4.95*10^-6*115=569.25*10^-6 coulombs
Current = 0 after many time constants (the capacitor has reached the applied voltage, and there is no voltage across the resistor)

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