An initially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor R. (a) Show that the final energy stored in the capacitor is half the energy supplied by the emf device. (b) By direct integration of i2R over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.
An initially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor R. (a) Show that the final energy stored in the capacitor is half the energy supplied by the emf device. (b) By direct integration of i2R over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
Problem 72PQ: A capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation...
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An initially uncharged capacitor C is fully charged by a
device of constant emf connected in series with a resistor R.
(a) Show that the final energy stored in the capacitor is half the energy
supplied by the emf device. (b) By direct integration of i2R
over the charging time, show that the thermal energy dissipated by
the resistor is also half the energy supplied by the emf device.
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