Question 1

A positively charged particle is moving upward in a region where the magnetic field points into the page, as shown in the image. What is the direction of the magnetic force acting on the particle at the instant shown?

Accepted Answer

To the left (negative x-direction)

Question 2

Which equation correctly describes the magnitude of the magnetic force $$\vec{F} on a $$particle with charge $$q$$ moving with velocity $$\vec{v} in a $$magnetic field $$\vec{B}$$?

Accepted Answer

$$F = qvB \sin 	heta$$

Question 3

What is the path of a charged particle moving perpendicular to a uniform magnetic field?

Accepted Answer

A circle

Question 4

If the charge in the image were negative instead of positive, what would be the direction of the magnetic force?

Accepted Answer

To the right (opposite to the force shown)

Question 5

Which rule helps determine the direction of the magnetic force on a positive charge moving in a magnetic field?

Accepted Answer

Right-hand rule

Question 6

A proton moves with velocity $$\vec{v}$$ upward in a region with a magnetic field $$\vec{B}$$ directed into the page. What is the direction of the force $$\vec{F} on $$the proton?

Accepted Answer

To the left

Question 7

What is the effect of the magnetic force on the speed of a charged particle moving in a uniform magnetic field?

Accepted Answer

The speed remains constant

Question 8

Which of the following best explains why the particle moves in a circle in the image?

Accepted Answer

The magnetic force is always perpendicular to the velocity

Question 9

If the magnitude of the magnetic field $$B is $$doubled, what happens to the radius $$r of $$the circular path for a particle of mass $$m$$ and charge $$q$$ moving with speed $$v$$?

Accepted Answer

The radius is halved: $$r = \frac{mv}{q(2B)}$$

Question 10

Which of the following real-world applications relies on the principle illustrated in the image?

Accepted Answer

Cyclotron particle accelerators

Magnetic Fields and Their Effects on Charges and Currents

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