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 0).

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 0).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter29: Direct Current (dc) Circuits

Section: Chapter Questions

Problem 78PQ: In the RC circuit shown in Figure P29.78, an ideal battery with emf and internal resistance r is...

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