Question

An uncharged capacitor and a resistor are connected in series to a source of emf. If = 9.00 V, C = 17.0 µF, and R = 100 , find the following:

(a) the time constant of the circuit
______ s

(b) the maximum charge on the capacitor
______ µC

(c) the charge on the capacitor after one time constant
_______ µC

Answer 1

a.TIme constant = RC = 1.7 milli seconds

b.
Max. Charge = Qo = VoC = 9 x 17 x 10^-6 F = 153 uC

c.
Q = Qo ( 1- e^(- 1/1)) = Qo ( 1- e^-1) = 96.714 uC