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Question

If a capacitor of 10μF is charged to 10V and then connected to a new circuit to discharge through a 10Ω resistor, what is the charge on it after 20μs?

A
72μC
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B
92μC
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C
82μC
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D
62μC
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Solution

The correct option is C 82μC
You have to know the capacitor discharge equation -
q=QetRC
Ok, this is what we need to use. But, do we know everything we need for the equation?
We know, C=10μF
R=10Ω
t=20μs
But what is Q?
Q is the initial charge on the capacitor. How do we find it?
We're given that the capacitor is charged to 10V. So use the equation Q=CV
Q=10×106×10
Q=100μC
Now use our equation.
q=QetRC
q=100×106e2010×10
q=82μC

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