Question

Consider a magnetic force acting on an electric charge in a uniform magnetic field. Which of the following statements are true? Check all that apply. Check all that apply. A magnetic force is exerted on an electric charge moving through a uniform magnetic field. The direction of the magnetic force acting on a moving electric charge in a magnetic field is perpendicular to the direction of motion. An electric charge moving parallel to a magnetic field experiences a magnetic force. A magnetic force is exerted on a stationary electric charge in a uniform magnetic field. The direction of the magnetic force acting on a moving charge in a magnetic field is perpendicular to the direction of the magnetic field. An electric charge moving perpendicular to a magnetic field experiences a magnetic force.

Answer 1

Answers:

- A magnetic force is exerted on an electric charge moving through a uniform magnetic field.

- The direction of the magnetic force acting on a moving electric charge in a magnetic field is perpendicular to the direction of motion.

- The direction of the magnetic force acting on a moving charge in a magnetic field is perpendicular to the direction of the magnetic field.

- An electric charge moving perpendicular to a magnetic field experiences a magnetic force.

Explanation:

The magnetic force exerted by a magnetic field on an electric charge is given by:

$F=qvBsin \theta$

where

q is the charge

v is the velocity of the particle

B is the magnetic field

$\theta$ is the angle between the direction of v and B

From the formula, we notice the following:

- The magnetic force is zero when the electric charge is moving parallel to the field (because in that case, $\theta=0, sin \theta=0$)

- The magnetic force is zero when the electric charge is stationary (because v=0)

As a consequence, only the following choices can be correct:

- A magnetic force is exerted on an electric charge moving through a uniform magnetic field.

- The direction of the magnetic force acting on a moving electric charge in a magnetic field is perpendicular to the direction of motion.

- The direction of the magnetic force acting on a moving charge in a magnetic field is perpendicular to the direction of the magnetic field.

- An electric charge moving perpendicular to a magnetic field experiences a magnetic force.