   Chapter 19, Problem 8P

Chapter
Section
Textbook Problem

An oxygen ion (O+) moves in the xy-plane with a speed of 2.50 × 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 2.00 × 10−5 T, find (a) the magnitude of the magnetic force acting on the ion and (b) the magnitude of the ion’s acceleration.

a)

To determine
The magnitude of the magnetic force on the oxygen ion.

Explanation

Given info: The speed of the oxygen ion is 2.50×103ms-1 . The oxygen ion moves in the xy-plane. The constant magnetic field is directed along the z-axis and its magnitude is 2.00×105T .

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 oxygen ion is perpendicular to the constant magnetic field, the magnetic force will be maximum having a value,

F=qvB

Substitute 1.60×1019C for q since the oxygen ion is singly charged, 2.50×103ms-1 for v and 2

b)

To determine
The magnitude of the ions acceleration.

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