?Orbital Magnetic Dipole Moment of the ElectronShow that \(U=-\vec{\mu} \cdot

Chapter 8, Problem 49

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Orbital Magnetic Dipole Moment of the Electron

Show that \(U=-\vec{\mu} \cdot \overrightarrow{\mathbf{B}}\) (Hint: An infinitesimal amount of work is done to align the magnetic moment with the external field. This work rotates the magnetic moment vector through an angle \(-d \theta\) (toward the positive z-direction), where \(d \theta\) is a positive angle change.)

Text Transcription:

U=-over rightarrow mu times over rightarrow B.

-d theta

d theta

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