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How many time constants will elapse before the power delivered by the battery drops to half of its maximum value in an RC circuit?

How many time constants will elapse before the power delivered by the battery drops to half of its maximum value in an RC circuit?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
9 years ago
Sol. Power = CV^2 = Q * V Now, QV/2 = QV * e^-t/RC ⇒ ½ = e^–t/RC ⇒ t/RC = -In 0.5 ⇒ -(-0.69) = 0.69

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