All Problems

Constant Magnetic Field, Magnetics

Problem 3.248

A charge qq is uniformly distributed over the volume of a uniform ball of mass mm and radius RR which rotates with an angular velocity ω\omega about the axis passing through its centre. Find the respective magnetic moment and its ratio to the mechanical moment.

Reveal Answer
pm=1/5qR2ω;pm/M=q/2m\underline{p_{m}}=1 /_{5} q R^{2} \omega ; p_{m} / M=q / 2 m