Question 1

Electric charge will quickly redistribute on an electrical conductor such that:

Accepted Answer

the electric potential is the same everywhere on the conductor.

Question 2

Which of the following best describes the capacitance $$C of a $$parallel plate capacitor with plate area $$A$$ and separation $$d in $$vacuum?

Accepted Answer

$$C = \frac{\$$varepsilon_0$$ A}{d}$$

Question 3

A capacitor is charged to a voltage $$V$$ and then disconnected from the battery. If the plates are pulled apart to double their original separation, what happens to the energy stored in the capacitor?

Accepted Answer

It doubles.

Question 4

The energy $$U$$ stored in a capacitor with capacitance $$C$$ and voltage $$V is $$given by:

Accepted Answer

$$U = \frac{1}{2}CV^2$

Question 5

Which of the following statements about the energy stored in a capacitor is correct?

Accepted Answer

The energy is stored in the electric field between the plates.

Question 6

If three capacitors, each of capacitance $$C$$, are connected in series, what is the equivalent capacitance $$C_{eq}$$?

Accepted Answer

$$C_{eq} = \frac{C}{3}$$

Question 7

A parallel plate capacitor is filled with a dielectric material of dielectric constant $$k. $$What happens to the capacitance?

Accepted Answer

It increases by a factor of $$k.$$

Question 8

Which of the following is the correct unit for capacitance?

Accepted Answer

Farad (F)

Question 9

The potential difference $$V$$ across a capacitor is doubled while keeping the capacitance $$C$$ constant. What happens to the stored energy $$U$$?

Accepted Answer

It increases by a factor of 4.

Question 10

Which of the following best describes the energy density $$u of an $$electric field $$E in $$vacuum?

Accepted Answer

$$u = \frac{1}{2}\$$varepsilon_0$$ E^2$

Question 11

A capacitor is connected to a battery and fully charged. If the battery is then disconnected and the separation between the plates is halved, what happens to the voltage across the plates?

Accepted Answer

It doubles.

Question 12

Which of the following is true for capacitors connected in parallel?

Accepted Answer

They all have the same voltage across them.

Question 13

The capacitance of an isolated conducting sphere of radius $$R in $$vacuum is:

Accepted Answer

$$C = 4\pi\$$varepsilon_0$$ R$$

Question 14

A capacitor is charged to a voltage $$V$$ and then connected across a resistor $$R. $$Which equation describes the voltage across the capacitor as a function of time $$t$$?

Accepted Answer

$$V(t) = V_0$ e$$^{-t/RC}$$

Question 15

Which of the following statements about the combination of capacitors is correct?

Accepted Answer

In series, the total charge on each capacitor is the same.

Electric Charge Redistribution on Conductors – Conceptual Guidance

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