Question 1

Which of the following statements about Gauss's Law is correct for a closed surface enclosing a net charge $$Q$$?

Accepted Answer

The electric flux through the surface is $$\Phi_E = \frac{Q}{\$$varepsilon_0$$}.$$

Question 2

Consider a case with a $$+Q$$ charged parallel plate and a $$-Q$$ charged parallel plate inside a sphere. Which statement is true?

Accepted Answer

The total charge enclosed is zero.

Question 3

A capacitor is removed from a battery. Which of the following quantities remain constant?

Accepted Answer

The charge $$Q on $$the plates.

Question 4

Which of the following is true about the electric field inside a conductor in electrostatic equilibrium?

Accepted Answer

The electric field is zero.

Question 5

Which of the following equations correctly relates the energy stored in a capacitor to its capacitance and voltage?

Accepted Answer

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

Question 6

A parallel plate capacitor is charged to a voltage $$V$$ and then disconnected from the battery. If the plate separation is doubled, what happens to the voltage across the plates?

Accepted Answer

The voltage doubles.

Question 7

Which of the following is the correct expression for the electric field $$E$$ between two parallel plates with charge $$Q$$ and area $$A$$?

Accepted Answer

$$E = \frac{Q}{\$$varepsilon_0$$ A}$$

Question 8

If the potential difference between two points is $$V$$ and the charge moved is $$Q$$, what is the work done by the electric field?

Accepted Answer

$$W = QV$$

Question 9

A spherical shell of radius $$R$$ carries a total charge $$Q. $$What is the electric field at a point inside the shell ($$r \u003c R$$)?

Accepted Answer

$$E = 0$$

Question 10

A capacitor with capacitance $$C is $$connected to a battery of voltage $$V. $$What is the charge stored on the capacitor?

Accepted Answer

$$Q = CV$$

Question 11

Which of the following is true about the potential difference across a conductor in electrostatic equilibrium?

Accepted Answer

The potential difference is zero.

Question 12

A parallel plate capacitor has plates of area $$A$$ separated by distance $$d. $$What is the capacitance?

Accepted Answer

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

Question 13

If the energy stored in a capacitor is $$U$$ and the voltage is $$V$$, what is the capacitance?

Accepted Answer

$$C = \frac{2U}{V^2$}$$

Question 14

A capacitor is charged to $$Q$$ and then disconnected from the battery. If the plate separation is increased, what happens to the energy stored in the capacitor?

Accepted Answer

The energy increases.

Question 15

Which of the following is the correct expression for the potential energy stored in a capacitor in terms of charge $$Q$$ and capacitance $$C$$?

Accepted Answer

$$U = \frac{Q^2$}{2C}$$

Question 16

A parallel plate capacitor is connected to a battery and then disconnected. If the area of the plates is doubled, what happens to the charge stored?

Accepted Answer

The charge doubles.

Question 17

Which of the following is true about the electric field just outside a charged conductor?

Accepted Answer

It is perpendicular to the surface.

Question 18

A spherical shell of radius $$R$$ carries a charge $$Q. $$What is the potential at the surface of the shell?

Accepted Answer

$$V = \frac{Q}{4\pi\$$varepsilon_0$$ R}$$

Question 19

Which of the following is the correct relationship for the energy stored in a capacitor when the voltage is $$V$$ and the charge is $$Q$$?

Accepted Answer

$$U = \frac{1}{2}QV$$

Electrostatics: Conductors, Capacitors, and Electric Fields – Study Notes

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