F capacitor that is initially uncharged is connected in series with a 7.80-k12 r

Question

F capacitor that is initially uncharged is connected in series with a 7.80-k12 resistor and an emf source with = 105 (a) Just after the circuit is completed, what is the voltage drop across the capacitor? A 4.05 and negligible internal resistance (b) Just after the circuit is completed, what is the voltage drop across the resistor? (c) Just after the circuit is completed, what is the charge on the capacitor? (d) Just after the circuit is completed, what is 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

given

C = 4.05 uF

R = 7.8 kOhm

V = 105 V

a. just after circuit is complete

voltage drop across capacitor = 0 V

b. just after circuit is completed

voltage drop across resistor = V = 105 V

c. just after circuit is complete, charge on initially uncharged capacitor = 0 C

d.just after circuit is complete, current through resistor= i

V = iR

i = V/R = 13.4615 mA

e. after a long time

voltage drop across capacitor = V = 105 V

VOltage drop across resistor = 0 V

charge on capacitor, Q = CV = 425.25 uC

current = 0 A

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