Question 1

If C1 2 3 4 for the combination of capacitors shown, the equivalent capacitance

Accepted Answer

A)  is less than C1. 
B)  is more than C4. 
C)  is between C2 and C3. 
D)  is less than C2. 
E)  could be any value depending on the applied voltage. 
A)  is less than C1. 
B)  is more than C4. 
C)  is between C2 and C3. 
D)  is less than C2. 
E)  could be any value depending on the applied voltage.

Question 2

Two identical capacitors A and B are connected across a battery, as shown. If mica ($\kappa$ = 5.4) is inserted in B,

Accepted Answer

A)  both capacitors will retain the same charge. 
B)  B will have the larger charge. 
C)  A will have the larger charge. 
D)  the potential difference across B will increase. 
E)  the potential difference across A will increase. 
A)  both capacitors will retain the same charge. 
B)  B will have the larger charge. 
C)  A will have the larger charge. 
D)  the potential difference across B will increase. 
E)  the potential difference across A will increase.

Question 3

Which of the following statements is false?

Accepted Answer

A)  In the process of charging a capacitor, an electric field is produced between its plates. 
B)  The work required to charge a capacitor can be thought of as the work required to create the electric field between its plates. 
C)  The energy density in the space between the plates of a capacitor is directly proportional to the first power of the electric field. 
D)  The potential difference between the plates of a capacitor is directly proportional to the electric field. 
E)  All of these are true. 
A)  In the process of charging a capacitor, an electric field is produced between its plates. 
B)  The work required to charge a capacitor can be thought of as the work required to create the electric field between its plates. 
C)  The energy density in the space between the plates of a capacitor is directly proportional to the first power of the electric field. 
D)  The potential difference between the plates of a capacitor is directly proportional to the electric field. 
E)  All of these are true.

Question 4

A parallel-plate capacitor has square plates of side 12 cm and a separation of 6.0 mm. A dielectric slab of constant $\kappa$ = 2.0 has the same area as the plates but has a thickness of 3.0 mm. What is the capacitance of this capacitor with the dielectric slab between its plates?

Accepted Answer

A)  28 pF 
B)  21 pF 
C)  16 pF 
D)  37 pF 
E)  53 pF 
A)  28 pF 
B)  21 pF 
C)  16 pF 
D)  37 pF 
E)  53 pF

Question 5

If all the four capacitors have equal values of 50 $\mu$F then calculate the equivalent capacitance of the circuit shown above.

Accepted Answer

A)  50 $\mu$F 
B)  30 $\mu$F 
C)  75 $\mu$F 
D)  100 $\mu$F 
E)  83 $\mu$F 
A)  50 $\mu$F 
B)  30 $\mu$F 
C)  75 $\mu$F 
D)  100 $\mu$F 
E)  83 $\mu$F

Question 6

The charge on each capacitor in a set of capacitors in parallel is

Accepted Answer

A)  directly proportional to its capacitance. 
B)  inversely proportional to its capacitance. 
C)  independent of its capacitance. 
D)  the same. 
E)  None of these is correct. 
A)  directly proportional to its capacitance. 
B)  inversely proportional to its capacitance. 
C)  independent of its capacitance. 
D)  the same. 
E)  None of these is correct.

Question 7

The space between the inner wire of radius a = 1 mm of a co-axial cable and the conducting shield of radius b = 8 mm is made of nylon ($\kappa$ = 4.2). A potential difference of 20 V is maintained between the wire and the shield. The energy stored per meter of the cable is

Accepted Answer

A)  1.12 nJ/m 
B)  22.5 nJ/m 
C)  44.9 nJ/m 
D)  5.36 nJ/m 
E)  2.68 nJ/m 
A)  1.12 nJ/m 
B)  22.5 nJ/m 
C)  44.9 nJ/m 
D)  5.36 nJ/m 
E)  2.68 nJ/m

Question 8

Two large metallic plates are parallel to each other and charged. The distance between the plates is d. The potential difference between the plates is V. The magnitude of the electric field   in the region between the plates and away from the edges is given by

Accepted Answer

A)  d/V 
B)  V2/d 
C)  dV 
D)  V/d2  
E)  None of these is correct. 
A)  d/V 
B)  V2/d 
C)  dV 
D)  V/d2  
E)  None of these is correct.

Question 9

Use the following figure to answer the next five problems:  
-You connect three capacitors as shown in the diagram below. The effective capacitance of this combination when C1 = 5.0$\mu$F, C2 = 4.0 $\mu$F, and C3 = 3.0 $\mu$F is approximately

Accepted Answer

A)  0.44 $\mu$F 
B)  2.3 $\mu$F 
C)  3.5 $\mu$F 
D)  5.2 $\mu$F 
E)  12 $\mu$F 
A)  0.44 $\mu$F 
B)  2.3 $\mu$F 
C)  3.5 $\mu$F 
D)  5.2 $\mu$F 
E)  12 $\mu$F

Question 10

Use the following figure to answer the next five problems:  
-You connect three capacitors as shown in the diagram. C1 = 5.0 $\mu$F, C2 = 4.0 $\mu$F, and
C3 = 3.0 $\mu$F. If you apply 12 V between points A and B, the energy stored in C3 will be approximately

Accepted Answer

A)  0.16 mJ 
B)  41 $\mu$J 
C)  0.12 mJ 
D)  0.41 mJ 
E)  16 mF 
A)  0.16 mJ 
B)  41 $\mu$J 
C)  0.12 mJ 
D)  0.41 mJ 
E)  16 mF

Question 11

The equivalent capacitance of three capacitors in series is

Accepted Answer

A)  the sum of their capacitances. 
B)  the sum of the reciprocals of their capacitances. 
C)  always greater than the larger of their capacitances. 
D)  always less than the smaller of the capacitances. 
E)  described by none of the above. 
A)  the sum of their capacitances. 
B)  the sum of the reciprocals of their capacitances. 
C)  always greater than the larger of their capacitances. 
D)  always less than the smaller of the capacitances. 
E)  described by none of the above.

Question 12

A coaxial cable consists of a wire of radius 0.30 mm and an outer conducting shell of radius 1.0 mm. Its capacitance per unit length is approximately

Accepted Answer

A)  17 nF/m 
B)  0.11 nF/m 
C)  92 pF/m 
D)  23 pF/m 
E)  46 pF/m 
A)  17 nF/m 
B)  0.11 nF/m 
C)  92 pF/m 
D)  23 pF/m 
E)  46 pF/m

Question 13

You attach a 30-pF capacitor across a 1.5-V battery. How much energy is stored in the capacitor?

Accepted Answer

A)  3.4 * 10-11 J 
B)  4.5 * 10-11 J 
C)  6.7 * 10-11 J 
D)  3.4 * 10-8 J 
E)  4.5 * 10-8 J 
A)  3.4 * 10-11 J 
B)  4.5 * 10-11 J 
C)  6.7 * 10-11 J 
D)  3.4 * 10-8 J 
E)  4.5 * 10-8 J

Question 14

An electric field, E, is applied to a dielectric. Which of the following statements is true?

Accepted Answer

A)  The electric field within the dielectric is less than E. 
B)  The dielectric produces an electric field in the opposite direction to E. 
C)  The molecules in the dielectric become polarized. 
D)  The electric field will produce a torque on molecules in dielectrics which have permanent dipoles. 
E)  All the above statements are true. 
A)  The electric field within the dielectric is less than E. 
B)  The dielectric produces an electric field in the opposite direction to E. 
C)  The molecules in the dielectric become polarized. 
D)  The electric field will produce a torque on molecules in dielectrics which have permanent dipoles. 
E)  All the above statements are true.

Question 15

A capacitor, C1 = 5.0 $\mu$F, is charged up to 8 V. It is then connected to a second uncharged capacitor C2 = 2.5 $\mu$F. The charge on C1 after the system has come to equilibrium is

Accepted Answer

A)  26.7$\mu$C 
B)  13.3 $\mu$C 
C)  20.0 $\mu$C 
D)  40.0 $\mu$C 
E)  6.67 $\mu$C 
A)  26.7$\mu$C 
B)  13.3 $\mu$C 
C)  20.0 $\mu$C 
D)  40.0 $\mu$C 
E)  6.67 $\mu$C

Question 16

A parallel plate capacitor is constructed using two square metal sheets, each of side
L = 10 cm. The plates are separated by a distance d = 2 mm and a voltage applied between the plates. The electric field strength within the plates is E = 4000 V/m. The energy stored in the capacitor is

Accepted Answer

A)  0.71 nJ 
B)  1.42 nJ 
C)  2.83 nJ 
D)  3.67 nJ 
E)  zero 
A)  0.71 nJ 
B)  1.42 nJ 
C)  2.83 nJ 
D)  3.67 nJ 
E)  zero

Question 17

If the area of the plates of a parallel plate capacitor is halved and the separation between the plates tripled, while the charge on the capacitor remains constant, then by what factor does the energy stored in the capacitor change?

Accepted Answer

A)  increase by a factor of 2 
B)  decrease by a factor of 2/3 
C)  increase by a factor of 6 
D)  increase by a factor of 3/2 
E)  decrease by a factor of 1/6 
A)  increase by a factor of 2 
B)  decrease by a factor of 2/3 
C)  increase by a factor of 6 
D)  increase by a factor of 3/2 
E)  decrease by a factor of 1/6

Question 18

In which of these configurations is (are) the electric field(s) uniform?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  1 and 3 
E)  1, 2, and 3 
A)  1 
B)  2 
C)  3 
D)  1 and 3 
E)  1, 2, and 3

Question 19

Two parallel plate air capacitors, each of capacitance X F are in series with a battery of 12-V. If a dielectric with $\kappa$ = 3 is inserted between the plates of one of the capacitors, then calculate the change in electrical charge (in Coulombs) that occurs on one of its plates.

Accepted Answer

A)  9X 
B)  3X/4 
C)  3X 
D)  16X 
E)  none of the above 
A)  9X 
B)  3X/4 
C)  3X 
D)  16X 
E)  none of the above

Question 20

You charge a 4.0-µF capacitor to 150 V. How much additional energy must you add to charge it to 300 V?

Accepted Answer

A)  0.60 mJ 
B)  0.14 J 
C)  18 µJ 
D)  0.30 mJ 
E)  0.28 J 
A)  0.60 mJ 
B)  0.14 J 
C)  18 µJ 
D)  0.30 mJ 
E)  0.28 J

If C₁ < C₂ < C₃ < C₄ for the combination of capacitors shown, the equivalent capacitance

$Two identical capacitors A and B are connected across a battery, as shown. If mica ( \kappa = 5.4) is inserted in B,$ Two identical capacitors A and B are connected across a battery, as shown. If mica ( $\kappa$ = 5.4) is inserted in B,

Which of the following statements is false?

A parallel-plate capacitor has square plates of side 12 cm and a separation of 6.0 mm. A dielectric slab of constant $\kappa$ = 2.0 has the same area as the plates but has a thickness of 3.0 mm. What is the capacitance of this capacitor with the dielectric slab between its plates?

$If all the four capacitors have equal values of 50 \mu F then calculate the equivalent capacitance of the circuit shown above.$ If all the four capacitors have equal values of 50 $\mu$ F then calculate the equivalent capacitance of the circuit shown above.

The charge on each capacitor in a set of capacitors in parallel is

The space between the inner wire of radius a = 1 mm of a co-axial cable and the conducting shield of radius b = 8 mm is made of nylon ( $\kappa$ = 4.2). A potential difference of 20 V is maintained between the wire and the shield. The energy stored per meter of the cable is

Two large metallic plates are parallel to each other and charged. The distance between the plates is d. The potential difference between the plates is V. The magnitude of the electric field in the region between the plates and away from the edges is given by

The equivalent capacitance of three capacitors in series is

A coaxial cable consists of a wire of radius 0.30 mm and an outer conducting shell of radius 1.0 mm. Its capacitance per unit length is approximately

You attach a 30-pF capacitor across a 1.5-V battery. How much energy is stored in the capacitor?

An electric field, E, is applied to a dielectric. Which of the following statements is true?

A capacitor, C₁ = 5.0 $\mu$ F, is charged up to 8 V. It is then connected to a second uncharged capacitor C₂ = 2.5 $\mu$ F. The charge on C₁ after the system has come to equilibrium is

A parallel plate capacitor is constructed using two square metal sheets, each of side L = 10 cm. The plates are separated by a distance d = 2 mm and a voltage applied between the plates. The electric field strength within the plates is E = 4000 V/m. The energy stored in the capacitor is

If the area of the plates of a parallel plate capacitor is halved and the separation between the plates tripled, while the charge on the capacitor remains constant, then by what factor does the energy stored in the capacitor change?

In which of these configurations is (are) the electric field(s) uniform?

Two parallel plate air capacitors, each of capacitance X F are in series with a battery of 12-V. If a dielectric with $\kappa$ = 3 is inserted between the plates of one of the capacitors, then calculate the change in electrical charge (in Coulombs) that occurs on one of its plates.

You charge a 4.0-µF capacitor to 150 V. How much additional energy must you add to charge it to 300 V?

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

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Exam 4: Capacitance

If C1 < C2 < C3 < C4 for the combination of capacitors shown, the equivalent capacitance

Two identical capacitors A and B are connected across a battery, as shown. If mica ( κ\kappaκ = 5.4) is inserted in B,

Which of the following statements is false?

A parallel-plate capacitor has square plates of side 12 cm and a separation of 6.0 mm. A dielectric slab of constant κ\kappaκ = 2.0 has the same area as the plates but has a thickness of 3.0 mm. What is the capacitance of this capacitor with the dielectric slab between its plates?

If all the four capacitors have equal values of 50 μ\muμ F then calculate the equivalent capacitance of the circuit shown above.

The charge on each capacitor in a set of capacitors in parallel is

The space between the inner wire of radius a = 1 mm of a co-axial cable and the conducting shield of radius b = 8 mm is made of nylon ( κ\kappaκ = 4.2). A potential difference of 20 V is maintained between the wire and the shield. The energy stored per meter of the cable is

Two large metallic plates are parallel to each other and charged. The distance between the plates is d. The potential difference between the plates is V. The magnitude of the electric field in the region between the plates and away from the edges is given by

Use the following figure to answer the next five problems: -You connect three capacitors as shown in the diagram below. The effective capacitance of this combination when C1 = 5.0 μ\muμ F, C2 = 4.0 μ\muμ F, and C3 = 3.0 μ\muμ F is approximately

Use the following figure to answer the next five problems: -You connect three capacitors as shown in the diagram. C1 = 5.0 μ\muμ F, C2 = 4.0 μ\muμ F, and C3 = 3.0 μ\muμ F. If you apply 12 V between points A and B, the energy stored in C3 will be approximately

The equivalent capacitance of three capacitors in series is

A coaxial cable consists of a wire of radius 0.30 mm and an outer conducting shell of radius 1.0 mm. Its capacitance per unit length is approximately

You attach a 30-pF capacitor across a 1.5-V battery. How much energy is stored in the capacitor?

An electric field, E, is applied to a dielectric. Which of the following statements is true?

A capacitor, C1 = 5.0 μ\muμ F, is charged up to 8 V. It is then connected to a second uncharged capacitor C2 = 2.5 μ\muμ F. The charge on C1 after the system has come to equilibrium is

A parallel plate capacitor is constructed using two square metal sheets, each of side L = 10 cm. The plates are separated by a distance d = 2 mm and a voltage applied between the plates. The electric field strength within the plates is E = 4000 V/m. The energy stored in the capacitor is

If the area of the plates of a parallel plate capacitor is halved and the separation between the plates tripled, while the charge on the capacitor remains constant, then by what factor does the energy stored in the capacitor change?

In which of these configurations is (are) the electric field(s) uniform?

Two parallel plate air capacitors, each of capacitance X F are in series with a battery of 12-V. If a dielectric with κ\kappaκ = 3 is inserted between the plates of one of the capacitors, then calculate the change in electrical charge (in Coulombs) that occurs on one of its plates.

You charge a 4.0-µF capacitor to 150 V. How much additional energy must you add to charge it to 300 V?

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

If C₁ < C₂ < C₃ < C₄ for the combination of capacitors shown, the equivalent capacitance

$Two identical capacitors A and B are connected across a battery, as shown. If mica ( \kappa = 5.4) is inserted in B,$ Two identical capacitors A and B are connected across a battery, as shown. If mica ( $\kappa$ = 5.4) is inserted in B,

A parallel-plate capacitor has square plates of side 12 cm and a separation of 6.0 mm. A dielectric slab of constant $\kappa$ = 2.0 has the same area as the plates but has a thickness of 3.0 mm. What is the capacitance of this capacitor with the dielectric slab between its plates?

$If all the four capacitors have equal values of 50 \mu F then calculate the equivalent capacitance of the circuit shown above.$ If all the four capacitors have equal values of 50 $\mu$ F then calculate the equivalent capacitance of the circuit shown above.

The space between the inner wire of radius a = 1 mm of a co-axial cable and the conducting shield of radius b = 8 mm is made of nylon ( $\kappa$ = 4.2). A potential difference of 20 V is maintained between the wire and the shield. The energy stored per meter of the cable is

A capacitor, C₁ = 5.0 $\mu$ F, is charged up to 8 V. It is then connected to a second uncharged capacitor C₂ = 2.5 $\mu$ F. The charge on C₁ after the system has come to equilibrium is

Two parallel plate air capacitors, each of capacitance X F are in series with a battery of 12-V. If a dielectric with $\kappa$ = 3 is inserted between the plates of one of the capacitors, then calculate the change in electrical charge (in Coulombs) that occurs on one of its plates.