All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.339

A long cylinder of radius \(a\) carrying a uniform surface charge rotates about its axis with an angular velocity \(\omega .\) Find the magnetic field energy per unit length of the cylinder if the linear charge density equals \(\lambda\) and \(\mu=1\)

Reveal Answer
W1=μ0λ2ω2a2/8πW_{1}=\mu_{0} \lambda^{2} \omega^{2} a^{2} / 8 \pi