
Concept explainers
Check Your Understanding Repeat the previous problem with the magnetic field in the x-direction rather than in the z-direction. Check your answers with RHR-1.

(a)
To Calculate:
The magnitude of the force on the alpha particle when it is moving in the positive x-direction in a magnetic field parallel to the positive x-axis.
Answer to Problem 11.1CYU
The magnetic force on the alpha particle is zero.
Explanation of Solution
Given:
Charge on the alpha particle,
Magnetic field parallel to the positive x-axis,
Velocity of the alpha particle in the x-direction,
Formula used:
The magnetic force on a charged particle is given as
Here
&
Calculation:
The magnetic force on the alpha particle is given by
But note

(b)
To Calculate:
The magnitude of the force on the alpha particle when it is moving in the negative y-direction in a magnetic field parallel to the positive x-axis.
Answer to Problem 11.1CYU
The magnetic force on the alpha particle is
Explanation of Solution
Given:
Charge on the alpha particle,
Magnetic field parallel to the positive x-axis,
Velocity of the alpha particle in the negative y-direction,
Formula used:
The magnetic force on a charged particle is given as
Here
&
Calculation:
The magnetic force on the alpha particle is given by
Substituting the value of
Or

(c)
To Calculate:
The magnitude of the force on the alpha particle when it is moving in the positive z-direction in a magnetic field parallel to the positive x-axis.
Answer to Problem 11.1CYU
The magnetic force on the alpha particle is
Explanation of Solution
Given:
Charge on the alpha particle,
Magnetic field parallel to the positive x-axis,
The velocity of the alpha particle in the positive z-direction,
Formula used:
The magnetic force on a charged particle is given as
Here
&
Calculation:
The magnetic force on the alpha particle is given by
Substituting the value of
Or

(d)
To Calculate:
The magnitude of the force on the alpha particle when it is moving in an arbitrary direction in a magnetic field parallel to the positive x-axis.
Answer to Problem 11.1CYU
The magnetic force on the alpha particle is
Explanation of Solution
Given:
Charge on the alpha particle,
Magnetic field parallel to the positive x-axis,
Velocity of the alpha particle,
Formula used:
The magnetic force on a charged particle is given as
Here
&
Calculation:
The magnetic force on the alpha particle is given by
Substituting the value of
Or
The magnitude of the force is
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Chapter 11 Solutions
University Physics Volume 2
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