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






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