A 1.44 F capacitor is charged through a 127 resistor and then discharged through

Question

A 1.44 F capacitor is charged through a 127 resistor and then discharged through the same resistor by short-circuiting the battery. Just need help on parts B and D, the rest are already solved

A)While the capacitor is being charged, find the time for the charge on its plates to reach 1e of its maximum value. =83.9 microseconds

B)While the capacitor is being charged, find the current in the circuit at the time when the charge on its plates has reached 1e of its maximum value.

C)During the discharge of the capacitor, find the time for the charge on its plates to decrease to 1e of its initial value. =183 microseconds

D) Find the time for the current in the circuit to decrease to 1e  of its initial value. (Answer in microseconds)

Explanation / Answer

from the given data, time constant, T = R*C

= 127*1.44*10^-6

= 1.83*10^-4 s

B)

while charging, I = Imax*e^(-t/T)

Imax/e = Imax*e^(-t/T)

1/e = e^(-t/T)

ln(1/e) = -t/T

t/T = ln(e)

t = T

= 1.83*10^-4 s

= 183 micro s <<<<<----------Answer

D)

while charging aslo,

I = Imax*e^(-t/T)

Imax/e = Imax*e^(-t/T)

1/e = e^(-t/T)

ln(1/e) = -t/T

t/T = ln(e)

t = T

= 1.83*10^-4 s

= 183 micro s <<<<<----------Answer

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