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How many time constants will elapse befo...

How many time constants will elapse before the current in a charging `R-C` circuit drops to half of its initial value?

Text Solution

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`i=i_0e^(-t/tau_C)`
putting `i=i_0/2`, we get
`t=(ln 2)tau_C=(0.693)tau_C`
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Knowledge Check

  • How many time constants will elapse before a capacitor gains 99% of its steady state charge?

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  • In the question number 93, the time elapsed for its mechanical energy to drop half of its initial value is

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