At time t = 0, an RC circuit consists of a 18.5-V emf device, a 66.0-Ohm resisto

Question

At time t = 0, an RC circuit consists of a 18.5-V emf device, a 66.0-Ohm resistor, and a 152.0-mu F capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. What is the time constant tau of this circuit? .01 s How much charge is stored by the capacitor at t= 0.5 tau, 2 tau, and 4 tau? q (t = 0.5 tau) = q (t = 2 tau) = q (t = 4 tau) = Your response differs from the correct answer by more than 10%. Double check your calculations. mu C Your response differs from the correct answer by more than 100%. mu C Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mu C

Explanation / Answer

step;1

Given that

emf E=18.5 v

resistance R=66 ohm

capacitor C=152*10^-6 F

now we find time constant

time constant t=66*152*10^-6=0.01 sec

now we find the charge at different time constant

Q=(EC){1-e^-t/cR}

at t=0.5T=>charge =18.5*152*10^-6{1-e^-0.5T/T}

=1.11 mC

at t=2T=>charge =18.5*152*10^-6{1-e^-2T/T}

=2.431 mC

at t=4T=>charge =18.5*152*10^-6{1-e^-4T/T}

=2.76 mC

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