In: Physics
An uncharged capacitor and a resistor are connected in series to a source of emf. If e m f = 10.0 V, C = 21.0 µF, and R = 100 Ω, find the following.
(a) the time constant of the circuit
(b) the maximum charge on the capacitor
(c) the charge on the capacitor at a time equal to one time
constant after the battery is connected
part a )
time constant = t
t = RC
t = 100 ohm * 21 x 10^-6 F = 2.1 x 10^-3 s = 2.1 ms
part b )
Qmax = C*V
V = 10 V
Qmax = 2.1 x 10^-4 C = 210 uC
part c )
Q = Qmax * (1-e^-T/t)
T = t
Q = Qmax(1-e^-1)
Q = 132.75 uF