Capacitors and Capacitance 3. Does the insertion of a dielectric sheet into a capacitor always result in an increase in energy storage in that capacitor? 4. A parallel plate capacitor is connected to a battery and then disconnected. If a dielectric is inserted between the plates, what happens to (a) the capacitance, (b) the voltage across the capacitor's plates, and (c) the electric field between the plates? 5. An air filled capacitor consists of two circular metal plates 1.50 mm apart, each with a diameter of 5.16 cm. This capacitor is connected to a 12 V car battery and is fully charged. a) What is the capacitance of this arrangement? b) How much charge is on each plate and what is the magnitude of the electric field between the plates? c) Calculate the energy stored in the capacitor. d) Suppose the capacitor is disconnected from this battery and reconnected to a 3 V battery instead. How much charge is moved between the plates and in what direc- tion? e) How much work is required to move this charge?

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Numbers 3, 4 and 5 

Capacitors and Capacitance
3. Does the insertion of a dielectric sheet into a capacitor always
result in an increase in energy storage in that capacitor?
4. A parallel plate capacitor is connected to a battery and then
disconnected. If a dielectric is inserted between the plates, what
happens to
(a) the capacitance,
(b) the voltage across the capacitor's plates, and
(c) the electric field between the plates?
5. An air filled capacitor consists of two circular metal plates 1.50
mm apart, each with a diameter of 5.16 cm. This capacitor is
connected to a 12 V car battery and is fully charged.
a) What is the capacitance of this arrangement?
b) How much charge is on each plate and what is the
magnitude of the electric field between the plates?
c) Calculate the energy stored in the capacitor.
d) Suppose the capacitor is disconnected from this battery
and reconnected to a 3 V battery instead. How much
charge is moved between the plates and in what direc-
tion?
e) How much work is required to move this charge?
Transcribed Image Text:Capacitors and Capacitance 3. Does the insertion of a dielectric sheet into a capacitor always result in an increase in energy storage in that capacitor? 4. A parallel plate capacitor is connected to a battery and then disconnected. If a dielectric is inserted between the plates, what happens to (a) the capacitance, (b) the voltage across the capacitor's plates, and (c) the electric field between the plates? 5. An air filled capacitor consists of two circular metal plates 1.50 mm apart, each with a diameter of 5.16 cm. This capacitor is connected to a 12 V car battery and is fully charged. a) What is the capacitance of this arrangement? b) How much charge is on each plate and what is the magnitude of the electric field between the plates? c) Calculate the energy stored in the capacitor. d) Suppose the capacitor is disconnected from this battery and reconnected to a 3 V battery instead. How much charge is moved between the plates and in what direc- tion? e) How much work is required to move this charge?
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Capacitors and Capacitance
3. Does the insertion of a dielectric sheet into a capacitor always
result in an increase in energy storage in that capacitor?
4. A parallel plate capacitor is connected to a battery and then
disconnected. If a dielectric is inserted between the plates, what
happens to
(a) the capacitance,
(b) the voltage across the capacitor's plates, and
(c) the electric field between the plates?
5. An air filled capacitor consists of two circular metal plates 1.50
mm apart, each with a diameter of 5.16 cm. This capacitor is
connected to a 12 V car battery and is fully charged.
a) What is the capacitance of this arrangement?
b) How much charge is on each plate and what is the
magnitude of the electric field between the plates?
c) Calculate the energy stored in the capacitor.
d) Suppose the capacitor is disconnected from this battery
and reconnected to a 3 V battery instead. How much
charge is moved between the plates and in what direc-
tion?
e) How much work is required to move this charge?
Transcribed Image Text:Capacitors and Capacitance 3. Does the insertion of a dielectric sheet into a capacitor always result in an increase in energy storage in that capacitor? 4. A parallel plate capacitor is connected to a battery and then disconnected. If a dielectric is inserted between the plates, what happens to (a) the capacitance, (b) the voltage across the capacitor's plates, and (c) the electric field between the plates? 5. An air filled capacitor consists of two circular metal plates 1.50 mm apart, each with a diameter of 5.16 cm. This capacitor is connected to a 12 V car battery and is fully charged. a) What is the capacitance of this arrangement? b) How much charge is on each plate and what is the magnitude of the electric field between the plates? c) Calculate the energy stored in the capacitor. d) Suppose the capacitor is disconnected from this battery and reconnected to a 3 V battery instead. How much charge is moved between the plates and in what direc- tion? e) How much work is required to move this charge?
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