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Q. 27

Expert-verified
Found in: Page 831

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# An electron moves in the magnetic field with a speed of in the directions shown in FIGURE EX29.27. For each, what is magnetic force on the electron? Give your answers in component form.

a) The magnetic force on the electron for the component a is determined as

b)The magnetic force on the electron for the component b is determined as

See the step by step solution

## Introduction

The given is the speed of the electron moves in the magnetic field of

The objective is to find the magnetic force on the electron for each component

The method used here is the Ampere's Experiment to find the magnetic force

## Step 1

a)

The magnetic field imposes a magnetic force on the moving charge, which is dependent on the velocity vector, as demonstrated by Ampere's experiment. The force increases as the angle between the velocity and the magnetic field increases.

The magnetic force can be calculated using an equation of the type

The charge is denoted by .The angle between the velocity and the magnetic field is but the magnetic field's direction is negative hence the velocity vector is

## Step 2

We plug the values for into equation to get , where is the magnetic field component .

## Step 3

b)

In the plane, the angle between the velocity and the magnetic field is , hence the velocity vector is

We plug the values for into equation to get , where is the magnetic field component.