All Problems

Constant Magnetic Field, Magnetics

Problem 3.235

Find the current density as a function of distance rr from the axis of a radially symmetrical parallel stream of electrons if the magnetic induction inside the stream varies as B=brα,B=b r^{\alpha}, where bb and α\alpha are positive constants.

Reveal Answer
j(r)=(b/μ0)(1+α)rα−1j(r)=\left(b / \mu_{0}\right)(1+\alpha) r^{\alpha-1}
Prev
Next