InterviewSolution
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InterviewSolution
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How many time constants will elapse before the energy stored in the capacitor reaches half of its equilibrium value in a charging RC circuit ? |
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Answer» Solution :`q = Q(1-e^-n)` ` 2q^2/2C = initial VALUE ` ` q^2/2C = final value` ` rArr 2q^2/2C = q^2/2C` ` rArr q^2 = q^2/2rArr q= (SQRT (q^2/2))` ` rArr q/(sqrt 2) = q(1-e^-n)` ` rArr 1/sqrt 2 = 1-e^-n` ` rArr e^-n = 1 - (1/sqrt(2)) = ((sqrt(2))-1/sqrt(2))` ` rArr n= log ( sqrt(2) / ((sqrt 2)-1))` = 1.22 ` |
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