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Discharging Capacitors

Using the equation for charge stored in a capacitor at time t explain why the discharge time of a capacitor is independent of its initial charge

I've got no idea how to do this.. Please Help! 😂
Original post by Moonie96
Using the equation for charge stored in a capacitor at time t explain why the discharge time of a capacitor is independent of its initial charge

I've got no idea how to do this.. Please Help! 😂


Is that the complete question exactly as written?

sure it wasn't asking about the 'time constant'
Reply 2
Original post by Joinedup
Is that the complete question exactly as written?

sure it wasn't asking about the 'time constant'


That was definitely all that was written, I know it wants me to use Q=Q(initial charge)e^(-t/RC) but Im not sure what to do with it
I'll call the starting charge at t=0 Q0

what you can say is that Q/Q0=e^(-t/RC)

so you're well set to tackle questions asking you about the time for the Q to drop to any fraction of Q0. e.g. half ,1/10th etc.. but for Q to become equal to zero, which is what the question seems to be asking, that is a bit tricky because as x increases e^(-x) gets closer to zero but never reaches zero.

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