A capacitor has a potential difference of V_0 = 155 V between the plates. When t

Question

A capacitor has a potential difference of V_0 = 155 V between the plates. When the switch S is closed, it is discharged through a resistor of R = 14.5 k Ohm. At time t = 10 seconds after the switch is closed, the potential difference between the capacitor plates equals V_c = 1.0 V. Randomized Variables V_0 = 155 V R = 14.5 k Ohm Part (a) Calculate the capacitance of the capacitor in farads. Part (b) Calculate the maximum current I_max that passes through the resistor, in Amperes. Part (c) Calculate the current I at time in Amperes.

Explanation / Answer

equation for volatge in RC ckt while charging is

V= V0(e^-t/RC)

so

1 = 155 *(e^-(10/(14500*C))

C = 13.67 uF is the Capaciatcne

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Imax = Vmax/R

Imax = 155/14500

Imax = 0.0106 Amps

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at time t

I = Io e^-t/RC

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