A capacitor with an initial potential difference of \( 80.0 \mathrm{~V} \) is discharged through...

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A capacitor with an initial potential difference of \( 80.0 \mathrm{~V} \) is discharged through a resis-
tor when a switch between them is closed at \( t=0 \). At \( t= \) \( 10.0 \mathrm{~s} \), the potential difference across the capacitor is \( 1.00 \mathrm{~V} \).
(a) What is the time constant of the circuit? (b) What is the potential difference across the capacitor at \( t=17.0 \mathrm{~s} \) ?
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