1. The problem statement, all variables and given/known data(adsbygoogle = window.adsbygoogle || []).push({});

The capacitor in an RC circuit with a time constant of 25 ms is charged to 10 V. The capacitor begins to discharge at t = 0 s

2. Relevant equations

τ=RC

ΔVC=(ΔVC)e^-t/τ

3. The attempt at a solution

part a) At what time will the charge on the capacitor be reduced to half its initial value?

10 ln 5 = (10)e^-τ/.025s

ln 5 = -τ/.025s

ln 5(.025s)= τ

τ=0.04 s

part b) At what time will the energy stored in the capacitor be reduced to half its initial value?

Not sure, but any hints as to my next step would be appreciated...

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# Homework Help: RC capacitor discharge

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