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

Question

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 65.0% of its initial charge.

(a) Find the time interval required for the capacitor to reach this charge. 0.52 Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. s

Help^^^

(b) If R = 290 k?, what is the value of C? 5.86 Correct: Your answer is correct. µF

Explanation / Answer

a)

The time constant is given by

time =1.70s*ln(1/0.65) =0.732s

b)

Given that

R =290khm

Then the value of C is given by

t =RC

C =t/R =1.70s/290*103ohm =5.862uF

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