Concept explainers
(a)
The
(a)
Answer to Problem 117P
The electromagnetic force on an electron is
Explanation of Solution
Figure 1 gives the direction of charge with helicopter view looking down. The cross product of peed and magnetic field is up and perpendicular to the plane.
Write the equation of magnitude of the resultant electromagnetic force.
Here,
Write the equation of angle of the resultant electromagnetic force.
Here,
Write the equation for the force due to electric field.
Here,
Write the equation for the force due to magnetic field.
Here,
Rewrite the expression from equation (I).
Rewrite the expression from equation (II).
Conclusion:
Substitute
Substitute,
Thus, the electromagnetic force on an electron is
(b)
There is any velocity which make the electromagnetic force will be zero.
(b)
Answer to Problem 117P
No such velocity is there which will produce zero electromagnetic force.
Explanation of Solution
The electromagnetic force will not be zero. The electric force and magnetic force is perpendicular to each other and having different magnitude. If there is change in velocity also, the net electromagnetic force will not be zero.
To make the electromagnetic force zero, the force due to electric and magnetic field should be equal and opposite direction. Since the magnitude is different and the direction is perpendicular to each other, the electromagnetic force will not be zero. Thus, any change in velocity cannot make the electromagnetic force zero.
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Chapter 19 Solutions
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