Question 1

Which of the following best describes how the type of field (electric or magnetic) observed at a point depends on the observer's motion?

Accepted Answer

It depends on the observer's motion relative to the charges and currents.

Question 2

Maxwell's equations can be summarized as:

Accepted Answer

Four equations for the fields and one for the force.

Question 3

Which law states that there are no isolated magnetic poles?

Accepted Answer

Gauss's law for magnetism

Question 4

What is the speed of electromagnetic waves in a vacuum?

Accepted Answer

$$c = \dfrac{1}{\sqrt{\$$varepsilon_0$$ \mu_0$}}$$

Question 5

Which of the following is NOT a property of electromagnetic waves?

Accepted Answer

They require a medium to propagate.

Question 6

An electromagnetic wave is said to be polarized if:

Accepted Answer

The electric field always oscillates in the same plane.

Question 7

Experimenter A creates a magnetic field in the laboratory. Experimenter B moves relative to A. What does B measure?

Accepted Answer

Both a magnetic and an electric field.

Question 8

Maxwell introduced the displacement current as a correction to which law?

Accepted Answer

Ampère’s law

Question 9

Which law describes the intensity of light transmitted through a polarizer?

Accepted Answer

Malus's law

Question 10

A charge moves with velocity $$\vec{v}$$ relative to Alec. Alec sees a magnetic field, but Brittney, moving with the charge, sees:

Accepted Answer

Only an electric field.

Question 11

Which of the following is true about the transformation of electric and magnetic fields between reference frames?

Accepted Answer

The acceleration of a charge is the same in all inertial frames.

Question 12

In the Galilean field transformation, the equations are only valid if:

Accepted Answer

$$v_{BA} \ll c$$

Question 13

Which of the following is a correct statement of Gauss's law for the electric field?

Accepted Answer

$$\oint \vec{E} \cdot d\vec{A} = \dfrac{Q_{in}}{\$$varepsilon_0$$}$$

Question 14

Which of the following is a correct statement of Gauss's law for magnetism?

Accepted Answer

$$\oint \vec{B} \cdot d\vec{A} = 0$$

Question 15

Faraday’s law states that:

Accepted Answer

A changing magnetic flux through a closed loop creates an induced emf around the loop.

Question 16

Ampère’s law states that:

Accepted Answer

The line integral of the magnetic field around a closed curve is proportional to the current passing through the area bounded by the curve.

Question 17

Which of the following is a real-world application of polarization?

Accepted Answer

Polarizing sunglasses to reduce glare from horizontal surfaces.

Question 18

If the intensity of polarized light after passing through a polarizer is $$I = I_0$ \cos^2$ 	heta$$, what is the intensity when $$	heta = 90^\circ$$?

Accepted Answer

$$I = 0$$

Question 19

A laboratory experimenter creates parallel electric and magnetic fields $$\vec{E} = 10,000 \hat{i} V/m $$and $$\vec{B} = 0.10 \hat{i} T. A $$proton is shot into these fields with velocity $$\vec{v} = 1.0 	imes 10^5$ \hat{j} m/s. $$What is the electric field in the proton's reference frame?

Accepted Answer

$$\vec{E}' = \vec{E} + \vec{v} 	imes \vec{B}$$

Question 20

Which of the following is true about the direction of the electric and magnetic fields in an electromagnetic wave?

Accepted Answer

They are perpendicular to each other and to the direction of propagation.

Electromagnetic Fields and Maxwell's Equations: Reference Frames, Field Transformations, and Wave Properties

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