All Problems

Constant Magnetic Field, Magnetics

Problem 3.247

A non-conducting sphere of radius R=50 mmR=50 \mathrm{~mm} charged uniformly with surface density σ=10.0μC/m2\sigma=10.0 \mu \mathrm{C} / \mathrm{m}^{2} rotates with an angular velocity ω=70\omega=70 rad/s about the axis passing through its centre. Find the magnetic induction at the centre of the sphere.

Reveal Answer
B=2/3μ0σωR=29pTB=2 / 3 \mu_{0} \sigma \omega R=29 \mathrm{pT}