The plates of a capacitor of capacitance 10 μF, charged to 60 μC, are joined together by a wire of resistance 10Ω at t = 0. Find the charge on the capacitor in the circuit at
(a) t = 0, (b) t = 30 μs, (c) t = 120 μs and (d) t = 1.0 ms.
Charge on Capacitor during Discharging (RC Circuit):
A capacitor of capacitance with charge C is being discharged through a resistor of resistance R. A switch S is also connected in series with the capacitor. The switch is initially open. At t=0, the switch is closed. The charge on the capacitor at any time t>0 is given by:
where and Qi is the initial charge on the capacitor.
Note that the capacitor begins charging at t = 0.
This is simply a discharging circuit.
Given,
Capacitance,
Resistance,
Initial Charge,
Now,
( and
)
We know that
(a) At t = 0,
(b) At t = 30μs
(c) At t = 120μs
(d) At t = 1.0ms