Concept explainers
(a)
Verify the equation for the magnitude of electric field.
(a)
Answer to Problem 1P
It is proved that the magnitude of electric field is given by
Explanation of Solution
Write the given equation for the relation between electric field and magnetic flux.
Here,
Write the equation for the magnetic flux.
Here,
Conclusion:
Substitute equation (II) in equation (I) and also substitute
Therefore, it is proved that the magnitude of electric field is given by
(b)
The change in speed of electron.
(b)
Answer to Problem 1P
The change in speed of the electron is
Explanation of Solution
Write the equation for the force acting on the electron.
Here,
Write the equation for the force acting on the electron in term of the acceleration of electron.
Here,
Substitute equation (III) in equation (IV) and compare it with equation (V).
Conclusion:
Integrate equation (VI) by giving appropriate limits.
Therefore, the change in speed is
(c)
The fractional change in frequency.
(c)
Answer to Problem 1P
The fractional change in frequency is
Explanation of Solution
Write the equation for the change in frequency of electron.
Here,
Substitute equation (VII) in equation (VIII).
Write the equation for the frequency of electron.
Here,
Conclusion:
Substitute
Substitute
Find the ratio
Therefore, the fractional change in frequency is
(d)
The explanation for lines at
(d)
Answer to Problem 1P
The
Explanation of Solution
The plane of electrons is parallel to
The
The
Conclusion:
Therefore, the
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Chapter 3 Solutions
EBK MODERN PHYSICS
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