A simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor.  Initially, the switch is open.  The capacitor has been charged so that the potential difference between its plates is 100.0 V.  At t = 0 s, the switch is closed.  The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V.  In other words, in 2.0 s, the potential difference between the capacitor plates is reduced to 37 % of its original value. Determine the numerical value of the resistance R (in Ω).

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter28: Direct-current Circuits
Section: Chapter Questions
Problem 28.10OQ: The terminals of a battery are connected across two resistors in parallel. The resistances of the...
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A simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor.  Initially, the switch is open.  The capacitor has been charged so that the potential difference between its plates is 100.0 V.  At t = 0 s, the switch is closed.  The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V.  In other words, in 2.0 s, the potential difference between the capacitor plates is reduced to 37 % of its original value. Determine the numerical value of the resistance R (in Ω).

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