Question 1

You connect two 12-$\mu$F capacitors and a 6-$\mu$F capacitor in parallel. The equivalent capacitance of the combination is

Accepted Answer

A)  18 $\mu$F 
B)  4 $\mu$F 
C)  3 $\mu$F 
D)  30 $\mu$F 
E)  None of these is correct. 
A)  18 $\mu$F 
B)  4 $\mu$F 
C)  3 $\mu$F 
D)  30 $\mu$F 
E)  None of these is correct.

Question 2

A capacitor is made with two strips of metal foil, each 2.5 cm wide by 50 cm long, with a 0.70-$\mu$m thick strip of paper ($\kappa$ = 3.7) sandwiched between them. The capacitor is rolled up to save space. What is the capacitance of this device? (The permittivity of free space $\epsilon$0 = 8.85 *10-12 F/m.)

Accepted Answer

A)  43 nF 
B)  0.16 $\mu$F 
C)  0.58 $\mu$F 
D)  2.0 $\mu$F 
E)  7.3$\mu$F 
A)  43 nF 
B)  0.16 $\mu$F 
C)  0.58 $\mu$F 
D)  2.0 $\mu$F 
E)  7.3$\mu$F

Question 3

A capacitor of capacitance C holds a charge Q when the potential difference across the plates is V. If the charge Q on the plates is doubled to 2Q,

Accepted Answer

A)  the capacitance becomes (1/2)V. 
B)  the capacitance becomes 2C. 
C)  the potential changes to (1/2)V. 
D)  the potential changes to 2V. 
E)  the potential does not change. 
A)  the capacitance becomes (1/2)V. 
B)  the capacitance becomes 2C. 
C)  the potential changes to (1/2)V. 
D)  the potential changes to 2V. 
E)  the potential does not change.

Question 4

Three capacitors 2 $\mu$F, 4 $\mu$F and 8 $\mu$F are connected in parallel across a 120-V source. The charge on the 4 $\mu$F capacitor is

Accepted Answer

A)  2.4 * 10-4 C 
B)  9.6 * 10-4 C 
C)  2.1 * 103 C 
D)  1.7 * 10-3 C 
E)  4.8 * 10-4 C 
A)  2.4 * 10-4 C 
B)  9.6 * 10-4 C 
C)  2.1 * 103 C 
D)  1.7 * 10-3 C 
E)  4.8 * 10-4 C

Question 5

Two flat parallel plates are d = 0.40 cm apart. The potential difference between the plates is 360 V. The electric field at the point P at the center is approximately

Accepted Answer

A)  90 kN/C 
B)  3.6 kN/C 
C)  0.9 kN/C 
D)  zero 
E)  3.6 *105 N/C 
A)  90 kN/C 
B)  3.6 kN/C 
C)  0.9 kN/C 
D)  zero 
E)  3.6 *105 N/C

Question 6

A coaxial cable consists of a wire of radius 0.30 mm and an outer conducting shell of radius 1.0 mm. Its capacitance for a 2 m length of the cable is approximately

Accepted Answer

A)  0.22 nF 
B)  34 nF 
C)  46 pF 
D)  92 pF 
E)  184 pF 
A)  0.22 nF 
B)  34 nF 
C)  46 pF 
D)  92 pF 
E)  184 pF

Question 7

If a capacitor of capacitance 2.0 µF is given a charge of 1.0 mC, the potential difference across the capacitor is

Accepted Answer

A)  0.50 kV 
B)  2.0 V 
C)  2.0 µV 
D)  0.50 V 
E)  None of these is correct. 
A)  0.50 kV 
B)  2.0 V 
C)  2.0 µV 
D)  0.50 V 
E)  None of these is correct.

Question 8

A coaxial cable consists of a wire of radius 1.0 mm and an outer conducting shell of radius 8 mm. A 20 V potential difference is applied between the wire and the shell. What is the energy stored in a 2 m length of the cable?

Accepted Answer

A)  5.35 nJ 
B)  10.7 nJ 
C)  2.67 nJ 
D)  61.6 pJ 
E)  123 pJ 
A)  5.35 nJ 
B)  10.7 nJ 
C)  2.67 nJ 
D)  61.6 pJ 
E)  123 pJ

Question 9

The capacitance of a parallel-plate capacitor

Accepted Answer

A)  is defined as the amount of work required to move a charge from one plate to the other. 
B)  decreases if a dielectric is placed between its plates. 
C)  is independent of the distance between the plates. 
D)  has units of J/C. 
E)  is independent of the charge on the capacitor. 
A)  is defined as the amount of work required to move a charge from one plate to the other. 
B)  decreases if a dielectric is placed between its plates. 
C)  is independent of the distance between the plates. 
D)  has units of J/C. 
E)  is independent of the charge on the capacitor.

Question 10

A parallel-plate capacitor has square plates of side 8.0 cm separated by 0.80 mm. If you charge this capacitor to 15 V, the amount of charge transferred from one plate to the other is

Accepted Answer

A)  71 nC 
B)  7.1 nC 
C)  1.1 pC 
D)  1.1 nC 
E)  7.1 pC 
A)  71 nC 
B)  7.1 nC 
C)  1.1 pC 
D)  1.1 nC 
E)  7.1 pC

Question 11

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 voltage across the capacitor C1 after the system has come to equilibrium is

Accepted Answer

A)  2.67 V 
B)  4.0 V 
C)  5.33 V 
D)  8.0 V 
E)  12.0 V 
A)  2.67 V 
B)  4.0 V 
C)  5.33 V 
D)  8.0 V 
E)  12.0 V

Question 12

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). The capacitance per meter is

Accepted Answer

A)  13.4 pF 
B)  26.8 pF 
C)  35.8 pF 
D)  56.2 pF 
E)  112 pF 
A)  13.4 pF 
B)  26.8 pF 
C)  35.8 pF 
D)  56.2 pF 
E)  112 pF

Question 13

A coaxial cable consists of a wire of radius 1.0 mm and an outer conducting shell of radius 8 mm. A 20 V potential difference is applied between the wire and the shell. What is the energy stored per meter of the cable?

Accepted Answer

A)  5.35 nJ/m 
B)  10.7 nJ/m 
C)  2.67 nJ/m 
D)  61.6 pJ/m 
E)  123 pJ/m 
A)  5.35 nJ/m 
B)  10.7 nJ/m 
C)  2.67 nJ/m 
D)  61.6 pJ/m 
E)  123 pJ/m

You connect two 12- $\mu$ F capacitors and a 6- $\mu$ F capacitor in parallel. The equivalent capacitance of the combination is

A capacitor of capacitance C holds a charge Q when the potential difference across the plates is V. If the charge Q on the plates is doubled to 2Q,

Three capacitors 2 $\mu$ F, 4 $\mu$ F and 8 $\mu$ F are connected in parallel across a 120-V source. The charge on the 4 $\mu$ F capacitor is

Two flat parallel plates are d = 0.40 cm apart. The potential difference between the plates is 360 V. The electric field at the point P at the center is approximately

A coaxial cable consists of a wire of radius 0.30 mm and an outer conducting shell of radius 1.0 mm. Its capacitance for a 2 m length of the cable is approximately

If a capacitor of capacitance 2.0 µF is given a charge of 1.0 mC, the potential difference across the capacitor is

A coaxial cable consists of a wire of radius 1.0 mm and an outer conducting shell of radius 8 mm. A 20 V potential difference is applied between the wire and the shell. What is the energy stored in a 2 m length of the cable?

The capacitance of a parallel-plate capacitor

A parallel-plate capacitor has square plates of side 8.0 cm separated by 0.80 mm. If you charge this capacitor to 15 V, the amount of charge transferred from one plate to the other 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 voltage across the capacitor C₁ after the system has come to equilibrium 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). The capacitance per meter is

A coaxial cable consists of a wire of radius 1.0 mm and an outer conducting shell of radius 8 mm. A 20 V potential difference is applied between the wire and the shell. What is the energy stored per meter of the cable?

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

Exam 4: Capacitance

You connect two 12- μ\muμ F capacitors and a 6- μ\muμ F capacitor in parallel. The equivalent capacitance of the combination is

A capacitor of capacitance C holds a charge Q when the potential difference across the plates is V. If the charge Q on the plates is doubled to 2Q,

Three capacitors 2 μ\muμ F, 4 μ\muμ F and 8 μ\muμ F are connected in parallel across a 120-V source. The charge on the 4 μ\muμ F capacitor is

Two flat parallel plates are d = 0.40 cm apart. The potential difference between the plates is 360 V. The electric field at the point P at the center is approximately

A coaxial cable consists of a wire of radius 0.30 mm and an outer conducting shell of radius 1.0 mm. Its capacitance for a 2 m length of the cable is approximately

If a capacitor of capacitance 2.0 µF is given a charge of 1.0 mC, the potential difference across the capacitor is

A coaxial cable consists of a wire of radius 1.0 mm and an outer conducting shell of radius 8 mm. A 20 V potential difference is applied between the wire and the shell. What is the energy stored in a 2 m length of the cable?

The capacitance of a parallel-plate capacitor

A parallel-plate capacitor has square plates of side 8.0 cm separated by 0.80 mm. If you charge this capacitor to 15 V, the amount of charge transferred from one plate to the other is

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 voltage across the capacitor C1 after the system has come to equilibrium 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). The capacitance per meter is

A coaxial cable consists of a wire of radius 1.0 mm and an outer conducting shell of radius 8 mm. A 20 V potential difference is applied between the wire and the shell. What is the energy stored per meter of the cable?

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

You connect two 12- $\mu$ F capacitors and a 6- $\mu$ F capacitor in parallel. The equivalent capacitance of the combination is

Three capacitors 2 $\mu$ F, 4 $\mu$ F and 8 $\mu$ F are connected in parallel across a 120-V source. The charge on the 4 $\mu$ F capacitor 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 voltage across the capacitor C₁ after the system has come to equilibrium 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). The capacitance per meter is