s that capacitor and tors have capacitancw pacitors uncharged, position A at a tim itor? What is the ens I from position A to

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 2PA: You are working in an industrial plant. You have been instructed to double the capacitance connected...
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Switch
KC
xC
The circuit above has a switch that connects one capacitor and a resistor to a battery when
in position A, and connects that capacitor and resistor to a second capacitor and resistor when
in position B. Both capacitors have capacitance C when they are filled with nothing. We begin
this problem with both capacitors uncharged, but filled with a solid with dielectric constant x.
(a) The switch is set to position A at a time t = 0. After waiting a long time, what is the
charge on the capacitor? What is the energy stored in the capacitor.
(b) The switch is moved from position A to position B, connecting the charged capacitor to
the uncharged one. After a long time, what is the charge on each of the two capacitors?
Remember that charge is conserved.
(c) How much energy was lost to heat in this transfer of charge? Hint: You will not need to
compute an integral, nor do you need to know the amount of resistance in the circuit.
(d) The dielectric material is slowly pulled out of the capacitor on the right. After waiting
a long time after the dielectric is fully removed, what are the charges on each of the two
capacitors?
(e) What was the minimum amount of work needed to remove the dielectric? Hint: was
energy gained by the circuit?
Transcribed Image Text:Switch KC xC The circuit above has a switch that connects one capacitor and a resistor to a battery when in position A, and connects that capacitor and resistor to a second capacitor and resistor when in position B. Both capacitors have capacitance C when they are filled with nothing. We begin this problem with both capacitors uncharged, but filled with a solid with dielectric constant x. (a) The switch is set to position A at a time t = 0. After waiting a long time, what is the charge on the capacitor? What is the energy stored in the capacitor. (b) The switch is moved from position A to position B, connecting the charged capacitor to the uncharged one. After a long time, what is the charge on each of the two capacitors? Remember that charge is conserved. (c) How much energy was lost to heat in this transfer of charge? Hint: You will not need to compute an integral, nor do you need to know the amount of resistance in the circuit. (d) The dielectric material is slowly pulled out of the capacitor on the right. After waiting a long time after the dielectric is fully removed, what are the charges on each of the two capacitors? (e) What was the minimum amount of work needed to remove the dielectric? Hint: was energy gained by the circuit?
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