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Question

A capacitor is charged and then made to discharge through a resistance. The time constant is τ. In what time will the potential difference across the capacitor decrease by 10%?

A
τln0.1
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B
τln0.9
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C
τln109
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D
τln1110
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Solution

The correct option is A τln109
As, we know that q=q0et/τ
According to the question, VC=qC=q0Cet/τ
q010=q0Cet/τ
et/τ=109
t=τln109

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