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 1.10 s. Soon after the switch is closed, the charge on the capacitor is 67.0% of its initial charge.

(a) Find the time interval required for the capacitor to reach this charge.
_s

(b) If R = 240 k?, what is the value of C?
C = _?F

A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has a time constant of 1.10 s. Soon after the switch is closed, the charge on the capacitor is 67.0% of its initial charge. (a) Find the time interval required for the capacitor to reach this charge. _s (b) If R = 240 k?, what is the value of C? C = _?F

Explanation / Answer

(a) 0.67= e^(-t/1.10)

ln 0.67 = -t

t = 0.400 s

2.

as time constant T = RC

Capacitance C = T/R

C = 1.1/(240000)

C = 4.58 uF

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