All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.308

In a long straight solenoid with cross-sectional radius aa and number of turns per unit length nn a current varies with a constant velocity I˙\dot{I} A/s. Find the magnitude of the eddy current field strength as a function of the distance rr from the solenoid axis. Draw the approximate plot of this function.

Reveal Answer
E={1/2μ0nI˙r for r<a1/2μ0nI˙a2/r for r>aE=\left\{\begin{array}{ll} 1 / 2 \mu_{0} n \dot{I} r & \text { for } r<a \\ 1 / 2 \mu_{0} n \dot{I} a^{2} / r & \text { for } r>a \end{array}\right.
Prev
Next