A charged capacitor is connected to a resistor and a switch as in the figure bel

Question

A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has a time constant of 1.90 s. Soon after the switch is closed, the charge on the capacitor is 55.0% of its initial charge.

A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has a time constant of 1.90 s. Soon after the switch is closed, the charge on the capacitor is 55.0% of its initial charge. (a) Find the time interval required for the capacitor to reach this charge. (b) If R = 300 k?, what is the value of C? C = ?F

Explanation / Answer

a) Q(t) = Q(0)e^(-t/1.9)

0.55 = e^(-t/1.9)

t = 1.136 s

b) RC = 1.9

C = 6.33 uF

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