question archive You have a 75

You have a 75

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You have a 75.9-mF capacitor initially charged to a potential difference of 10.5 V. You discharge the capacitor through a 4.65-? resistor. What is the time constant? After what multiple of the time constant does the potential difference reach 2.53 V?

Time Constant: ___s

Multiple of Time Constant: ___

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Answer:

time constant T = Rc = 4.65* 75.9 =0.3529 secs

apply V = VOe^-t/RC

e^-t/RC = 2.53/10.5

-t/RC = ln (0.2409)

t = 1.42 time constants

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