True or false: In electrostatic equilibrium, the surface and interior of a conductor are at the same electric potential.
2 Electric Potential and Capacitance Online Quiz Questions
Use this free practice quiz with 20 questions to review 2 Electric Potential and Capacitance, test your knowledge, and prepare for your next test or exam.
True or false: In a uniform electric field in vacuum, doubling the field strength makes the energy density four times as large.
- A
True
- B
False
An empty cavity lies inside a conductor in electrostatic equilibrium, and no charge is placed in the cavity. What is the electric field inside the cavity?
- A
The field in the cavity is uniform and nonzero.
- B
The field in the cavity is zero.
- C
The field in the cavity points toward the nearest cavity wall.
- D
The field in the cavity depends only on the conductor's total charge.
A point charge of +3.0 nC is 0.30 m from a point. Using k=9.0×109 Nm2/C2, what is the electric potential at that point relative to infinity?
- A
9.0 V
- B
30 V
- C
90 V
- D
270 V
What property of a capacitor measures the amount of charge stored per unit potential difference?
A +2.0 μC charge moves through a potential difference of −5.0 V. What is its change in electric potential energy?
- A
+1.0×10−5 J
- B
−1.0×10−5 J
- C
+2.5×10−6 J
- D
−2.5×10−6 J
A capacitor has capacitance 2.0 μF and potential difference 3.0 V. Calculate its stored energy in joules.
True or false: For a uniform electric field in vacuum, the field energy density is proportional to the square of the field strength.
- A
True
- B
False
An ideal parallel-plate capacitor has its plate area doubled while the plate separation is halved. By what factor does its capacitance change, assuming no dielectric is present and edge effects remain small?
- A
It becomes half as large.
- B
It doubles.
- C
It becomes four times as large.
- D
It becomes eight times as large.
A dielectric is fully inserted into a disconnected capacitor. Select all statements that correctly describe what happens to the capacitor.
- A
The magnitude of the charge remains constant.
- B
The potential difference decreases.
- C
The stored energy increases.
- D
The stored energy decreases.
A capacitor remains connected to a battery while a dielectric is fully inserted. Select all statements that correctly describe what happens to the capacitor.
- A
The potential difference remains constant.
- B
The capacitor's charge increases.
- C
The capacitor's capacitance decreases.
- D
The stored energy increases.
Explain how polarization in a dielectric changes the electric field inside a capacitor and why inserting the dielectric increases capacitance. In your explanation, connect the change in field to the definition of capacitance.
A parallel-plate capacitor has negligible edge effects. If its plate area is doubled while the plate separation and the space between the plates remain unchanged, how does its capacitance change?
- A
It becomes half as large.
- B
It becomes twice as large.
- C
It stays the same.
- D
It becomes four times as large.
Why can a sharp region on a conductor have a particularly strong electric field just outside its surface?
- A
The conductor's interior field becomes nonzero there.
- B
The conductor has lower capacitance there because charge cannot reside on the surface.
- C
Surface charge is more concentrated there, producing a stronger nearby field.
- D
The potential at the sharp region must be different from the potential elsewhere on the conductor.
At a point, two point charges contribute electric potentials of +8 V and −3 V. What is the total electric potential at that point?
- A
−11 V
- B
+5 V
- C
+11 V
- D
−5 V
A uniform electric field of 250 V/m points from point A to point B, which is 0.40 m away along the field. What is the potential difference VB−VA?
- A
−100 V
- B
−62.5 V
- C
+100 V
- D
+62.5 V
A capacitor carries charge magnitude 15 μC when the potential difference across it is 5 V. What is its capacitance? Enter the value in μF.
A charge of −3 μC moves through a potential difference of +2 V. What is its signed change in electric potential energy? Enter the value in μJ.
For a conductor in electrostatic equilibrium, any excess charge resides . Just outside the conductor, the electric field points to its surface.
The potential at point A is 8 V and at point B is 3 V. If the chosen zero of potential changes so that 10 V is added to the potential at every point, the potential difference between A and B remains .