1. What does the dielectric constant depend upon?

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Number 1, 2, 3, 4 and 5

Capacitors and Capacitance
1. What does the dielectric constant depend upon?
2. Does the insertion of a dielectric sheet into a capacitor always
increase its 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?
6. How much charge flows through a 12 V battery when a 2 µF
capacitor is
connected across its terminals?
7. A parallel plate capacitor has a plate area of 0.525 m² and a
plate separation of
2.15 mm. What is its capacitance?
8. What plate separation is required for a parallel plate capacitor
to have a
capacitance of 9 nF if the plate area is 0.425 m²?
9. A capacitor has a capacitance of 50 pF, which increases to 150
pF when a
dielectric material is between its plates. What is the dielectric
constant of the
Material?
10. A 50 pF capacitor is immersed in silicone oil, which has a
dielectric constant of
2.6. When the capacitor is connected to a 24 V battery,
a. what will be the charge of the capacitor?
b. How much energy is stored in the capacitor?
Transcribed Image Text:Capacitors and Capacitance 1. What does the dielectric constant depend upon? 2. Does the insertion of a dielectric sheet into a capacitor always increase its 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? 6. How much charge flows through a 12 V battery when a 2 µF capacitor is connected across its terminals? 7. A parallel plate capacitor has a plate area of 0.525 m² and a plate separation of 2.15 mm. What is its capacitance? 8. What plate separation is required for a parallel plate capacitor to have a capacitance of 9 nF if the plate area is 0.425 m²? 9. A capacitor has a capacitance of 50 pF, which increases to 150 pF when a dielectric material is between its plates. What is the dielectric constant of the Material? 10. A 50 pF capacitor is immersed in silicone oil, which has a dielectric constant of 2.6. When the capacitor is connected to a 24 V battery, a. what will be the charge of the capacitor? b. How much energy is stored in the capacitor?
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