Electric Fields and Gauss's Law: Interactive Learning Quizzes

Question 1

A conducting sphere of radius R has a charge Q. What is the electric field strength inside the sphere?

Accepted Answer

Zero

Answer

Q / (4πε₀R^2)

Answer

Q / (2πε₀R^2)

Answer

Q / (πε₀R^2)

Question 2

A dielectric material with a relative permittivity of 4 is placed between the plates of a capacitor. What is the capacitance of the capacitor compared to its original value?

Accepted Answer

4 times the original value

Answer

1/4 of the original value

Answer

1/2 of the original value

Answer

2 times the original value

Question 3

The relationship between electric field (E) and electric potential (V) is described by:

Accepted Answer

E = -∇V

Answer

E = ∇V

Answer

V = -∇E

Answer

V = ∇E

Question 4

According to Gauss's Law, the total electric flux through a closed surface is directly proportional to:

Accepted Answer

The charge enclosed within the surface

Answer

The surface area

Answer

The permittivity of the medium inside the surface

Answer

The potential difference between the surface and infinity

Question 5

For a charged particle in an electric field, the direction of the electric force experienced depends on:

Accepted Answer

The sign of the charge and the direction of the electric field

Answer

Only the sign of the charge

Answer

Only the direction of the electric field

Answer

Neither the sign of the charge nor the direction of the electric field

Question 6

Inside a uniformly charged spherical shell of radius R, at a distance r from the center (r < R), the electric field:

Accepted Answer

Is zero

Answer

Is proportional to r

Answer

Is proportional to r^2

Answer

Is proportional to 1/r

Question 7

Which material is a good conductor of electricity?

Accepted Answer

Copper

Answer

Rubber

Answer

Glass

Answer

Wood

Question 8

The SI unit for electric field is:

Accepted Answer

Volt per meter

Answer

Coulomb

Answer

Newton per square meter

Answer

Ampere

Question 9

Calculate the electric field at a point outside a uniformly charged sphere with total charge Q and radius R, a distance r from its center, using Gauss's Law.

Accepted Answer

$frac{1}{4piepsilon_0}frac{Q}{r^2}$

Answer

0

Answer

$frac{1}{4piepsilon_0}frac{Q}{R^2}$

Answer

$frac{1}{4piepsilon_0}frac{Q}{rR}$

Question 10

The electric field due to a point charge Q at a distance r from the charge is given by:

Accepted Answer

kQ/r^2

Answer

kQr

Answer

kQ/2r^2

Answer

kQ/2r

Question 11

Which of the following is a key advantage of using Gauss's law to calculate electric fields?

Accepted Answer

It relates the electric field to the enclosed charge, making it applicable to various charge distributions.

Answer

It is only applicable to point charges.

Answer

It provides the exact value of the electric field everywhere in space.

Answer

It is only valid in vacuum.

Question 12

The electric field inside a uniformly charged hollow spherical shell is:

Accepted Answer

Zero

Answer

Proportional to the radius of the shell

Answer

Non-zero and points outward away from the center of the shell

Answer

Non-zero and points inward toward the center of the shell

Question 13

Gauss's law can be used to calculate the electric field due to a:

Accepted Answer

Continuous charge distribution

Answer

Point charge only

Answer

Line charge only

Answer

Surface charge only

Question 14

The electric field due to a uniformly charged spherical shell at a point outside the shell is:

Accepted Answer

Proportional to the total charge on the shell

Answer

Dependent on the material of the shell

Answer

Proportional to the radius of the shell

Answer

Zero

Question 15

A point charge Q is placed at the center of a cube-shaped Gaussian surface with side length L. What is the electric flux through the surface?

Accepted Answer

Q/ε₀

Answer

Q/2ε₀

Answer

0

Answer

Q/4ε₀

Question 16

Gauss's law relates the electric field to which of the following?

Accepted Answer

Enclosed charge

Answer

Enclosed volume

Answer

Enclosed current

Answer

Enclosed area

Question 17

The electric field inside a cavity within a conductor is:

Accepted Answer

Zero

Answer

Equal to the field outside the conductor

Answer

Proportional to the charge on the conductor

Answer

Dependent on the shape of the cavity

Question 18

Which of the following is a factor that affects the electric field between two point charges?

Accepted Answer

Distance between the charges

Answer

Color of the charges

Answer

Mass of the charges

Answer

Temperature of the surrounding medium

Question 19

The electric field lines for a point charge are:

Accepted Answer

Radial and directed away from the charge

Answer

Circular and concentric to the charge

Answer

Ellipsoidal and converge at the charge

Answer

Parallel and perpendicular to the charge