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During the decay of current in an LR cir...

During the decay of current in an `LR` circuit, if the current falls to `eta` times the intial value in time `T`, then determine the value of time constane.

Text Solution

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we know that `I = I_(max) e^(-t//T)`
At `t = T, I = eta I_(max_(-t//T))`
`eta I_(max) = I_(max)e`
or `e^(-t//T) = eta, T = (t)/(In |(1)/(n)|)`
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