A point charge Q moves in a circular orbit of radius R in the xy-plane with angular velocity ω. This is equivalent to a steady current Qω/(2π). A uniform magnetic field along +z is switched on and increases uniformly from 0 to B in 1 s. Assume the orbital radius remains constant. The changing field induces an emf. The magnetic dipole moment of an orbiting charge is proportional to its angular momentum with constant γ.
Physics · Electromagnetic Induction
A point charge Q moves in a circular orbit of radius R in the xy-plane with angular velocity ω. This is equivalent to a steady current Qω/(2π). A uniform magnetic field along +z is switched on and increases uniformly from 0 to B in 1 s. Assume the orbital radius remains constant. The changing field induces an emf. The magnetic dipole moment of an orbiting charge is proportional to its angular momentum with constant γ.
Sub-question 1
The change in magnetic dipole moment associated with the orbit at the end of the magnetic-field change is:
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Sub-question 2
The magnitude of the induced electric field in the orbit at any instant during the magnetic-field change is:
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