A capacitor with capacitance C = 1.0 pF is charged to a potential of Vo = 9.0 V. The charged capacitor is connected in series with a resistor of resistance R = 1.0 kn. (a) Solve for the charge on the capacitor Q(t) and the current in the circuit I(t) as functions of time. (b) Show that the total energy dissipated in the resistor as the capacitor discharges is equal to the energy originally stored in the capacitor. (c) Suppose someone objects to your calculation in part (b), arguing that the capacitor is never really discharged be- cause this takes an infinite amount of time. Counter this argument by calculating how long it takes for the charge to be reduced to that of a single electron, at which point the charge can no longer decay exponentially. How long does this take?

A capacitor with capacitance C = 1.0 pF is charged to a potential of Vo = 9.0 V. The charged capacitor is connected in series with a resistor of resistance R = 1.0 kn. (a) Solve for the charge on the capacitor Q(t) and the current in the circuit I(t) as functions of time. (b) Show that the total energy dissipated in the resistor as the capacitor discharges is equal to the energy originally stored in the capacitor. (c) Suppose someone objects to your calculation in part (b), arguing that the capacitor is never really discharged be- cause this takes an infinite amount of time. Counter this argument by calculating how long it takes for the charge to be reduced to that of a single electron, at which point the charge can no longer decay exponentially. How long does this take?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...

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