All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.294

A square frame with side \(a\) and a long straight wire carrying a current \(I\) are located in the same plane as shown in Fig. 3.82. The frame translates to the right with a constant velocity \(v\). Find the emf induced in the frame as a function of distance \(x\).

Reveal Answer
Ei=μ04π2Ia2vx(x+a)\mathscr{E}_{i}=\frac{\mu_{0}}{4 \pi} \frac{2 I a^{2} v}{x(x+a)}