A model for the quantised motion of an electron in a uniform magnetic field B states that the flux passing through the orbit of the electron is n(h/e), where n is an integer, h is Planck's constant an

Question

A model for the quantised motion of an electron in a uniform magnetic field B states that the flux passing through the orbit of the electron is n(h/e), where n is an integer, h is Planck's constant and e is the magnitude of the electron's charge. According to the model, the magnetic moment of an electron in its lowest energy state will be (m is the mass of the electron):

Vishal Gupta · Accepted Answer

B. Flux quantisation: B\pi r^2 = \frac{h}{e} for the lowest state. In the field, mv = eBr. Magnetic moment \mu = \frac{evr}{2} = \frac{e^2Br^2}{2m} = \frac{e^2B}{2m}\cdot\frac{h}{e\pi B} = \frac{he}{2\pi m}.

Moving Charges and Magnetism

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