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

Question

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

A charged capacitor is connected to a resistor and switch as in the figure below. The circuit has a time constant of 1.70 s. Soon after the switch is closed, the charge on the capacitor is 80.0% of its initial charge. (a) Find the time interval required for the capacitor to reach this charge. (b) If R = 280 k ohm, what is the value of C? Your response differs from the correct answer by more than 10%. Double check your calculations. muF A charged capacitor is connected to a resistor and switch as in the figure below. The circuit has a time constant of 1.70 s. Soon after the switch is closed, the charge on the capacitor is 80.0% of its initial charge. (a) Find the time interval required for the capacitor to reach this charge. (b) If R = 280 k ohm, what is the value of C?

Explanation / Answer

(a) 0.8 = e^(-t/1.70)

(1.7)(ln 0.8) = -t

t = 0.3791 s

(b) 1/0.28 = 3.57142857
C= 3.57142857 uF

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