   Chapter 19, Problem 7P

Chapter
Section
Textbook Problem

Electrons and protons travel from the Sun to the Earth at a typical velocity of 4.00 × 105 m/s in the positive x-direction. Thousands of miles from Earth, they interact with Earth’s magnetic field of magnitude 3.00 × 10−8 T in the positive z-direction. Find the (a) magnitude and (b) direction of the magnetic force on a proton. Find the (c) magnitude and (d) direction of the magnetic force on an electron.

a)

To determine
The magnitude of the magnetic force on the proton.

Explanation

Given info: Electrons and protons travel with a velocity of 4.00×105ms-1 in the positive x-direction. The magnitude of earth’s magnetic field is 3.00×108T in the positive z-direction.

Explanation:

The magnetic force on a charged particle is given by,

F=qvBsinθ       (1)

• q is the charge on the particle
• v is the velocity of the particle
• B is the magnetic field
• θ is the angle between the velocity and the magnetic field

Since the velocity of the proton is perpendicular to the earths magnetic field, the magnetic force will be maximum having a value,

F=qvB

Substitute 1.60×1019C for q , 4.00×105ms-1 for v and 3

b)

To determine
The direction of the magnetic force on the proton.

c)

To determine
The magnitude of the magnetic force on the electron.

d)

To determine
The direction of the magnetic force on the electron.

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