Concept explainers
(a)
The energy of the proton in the magnetic field of
(a)
Answer to Problem 24E
The energy of the proton when the z component of the spin angular momentum is along the magnetic field is
Explanation of Solution
When the charge spins, it has the magnetic dipole moment
Write the expression for the magnetic dipole moment.
Here,
Write the expression for the energy of the dipole.
Here,
The value of the spin angular momentum is
Conclusion:
Substitute
Substitute
Here,
Substitute
Substitute
Thus, the energy of the proton when the z component of the spin angular momentum is along the magnetic field is
(b)
The energy of the proton in the magnetic field of
(b)
Answer to Problem 24E
The energy of the proton when the z component of the spin angular momentum is along the magnetic field is
Explanation of Solution
When the charge spins, it has the magnetic dipole moment
Write the expression for the magnetic dipole moment.
Here,
Write the expression for the energy of the dipole.
Here,
The value of the spin angular momentum is
Substitute
Write the expression for the nuclear magnetron.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Thus, the energy of the proton when the z component of the spin angular momentum is along the magnetic field is
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Chapter 29 Solutions
General Physics, 2nd Edition
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