Suggested languages for you:

Americas

Europe

Q3PE

Expert-verified
Found in: Page 811

### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# What is the direction of the velocity of a negative charge that experiences the magnetic force shown in each of the three cases in Figure${}^{\mathbf{22}\mathbf{.}\mathbf{51}}$, assuming it moves perpendicular to B?

(a) The direction of the velocity will be to the right (east).

(b) The direction of the velocity will be on the page.

(c) The direction of the velocity will be downwards (south).

See the step by step solution

## Step 1: Definition of magnetic force.

The magnetic force is a consequence of the electromagnetic force, one of the four fundamental forces of nature, and is caused by the motion of charges.

The direction of the magnetic force on a moving charge is determined using the right-hand rule-1, where if the thumb points in the direction of motion of positive charge, fingers point in the direction of magnetic field then the palm will tell the direction of the magnetic force on the charged particle.

## Step 2: Defining the direction of the velocity of a negative charge.

We will use the above-mentioned RHR-1 to determine the direction of the velocity of a negatively charged particle:

(a)

By having the force pointing upwards and the field pointing outwards, the velocity will be pointing to the left if the charge is positive. Hence, for a negative charge, the velocity will be pointing to the right or west.

(b)

By having the force pointing upwards and the field pointing to the right, the velocity will be pointing out of the page if the charge is positive. Hence, for a negative charge, the velocity will be pointing inwards to the page.

(c)

By having the force pointing to the right and the field pointing into the page, the velocity will be pointing upwards if the charge is positive. Hence, for a negative charge, the velocity will be pointing downwards.