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A charged capacitor is connected with a ...

A charged capacitor is connected with a resistor. After how many time constants, does the energy of capacitor `(1/100)^th` becomes of its initial value?

A

2.3

B

1.15

C

0.69

D

4.6

Text Solution

Verified by Experts

The correct Answer is:
A
`1/2 Q^2/C = 1/100 (1/2 Q_0^2/C)`
`Q=Q_0/10`
`Q_0/10 = Q_0e^(-t//tau)`
`ln(10)^(-1) = (-t)/tau`
`t/tau=2.303`
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