The Figure Shows a Simple RC Circuit Consisting of a 10.0-µF

question 62

Multiple Choice

The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. 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.

• A)1.0 × 10⁵ \(\varOmega\)
• B)2.0 × 10⁵ \(\varOmega\)
• C)5.0 × 10⁵ \(\varOmega\)
• D)1.0 × 10⁶ \(\varOmega\)
• E)2.5 × 10⁶ \(\varOmega\)

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