You charge an initially uncharged 74.5-mF capacitor through 23.7 Ohm resistor by

Question

You charge an initially uncharged 74.5-mF capacitor through 23.7 Ohm resistor by means of a 900-V battery having negligible internal resistance. Find the time constant of the circuit. What is the charge of the capacitor 1.93 time constants are the circuit is closed? What is the charge after a long time? Time constant: ______ s

Charge: ______C
Charge after long time: ____C You charge an initially uncharged 74.5-mF capacitor through 23.7 Ohm resistor by means of a 900-V battery having negligible internal resistance. Find the time constant of the circuit. What is the charge of the capacitor 1.93 time constants are the circuit is closed? What is the charge after a long time? Time constant: ______ s

Charge: ______C
Charge after long time: ____C Time constant: ______ s

Charge: ______C
Charge after long time: ____C

Explanation / Answer

a)

Time Constant

T=RC =74.5*10^-3*23.7

T=1.77 s

b)

at t=1.93 T

maximum charge

Q=CV =74.5*10^-3*900 =67.11 C

Q=Qo[1-e-t/T]=67.11[1-e-1.93]

Q=57.3 C

c)

Qo=67.1 C

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