9.3.19 | revision #18492 | Savchenko Solutions

Statement

9.3.19. The current distribution in two mutually perpendicular plates of thickness $$h$$ is shown in the figure.
There is no current in the area where the plates intersect. Draw a graph of the magnetic field induction
as a function of $$x$$ .

Solution

In Problem 9.3.17, a formula was obtained for the induction inside the plate. On its axis, it is zero and increases linearly with distance from the plate: $B=\mu_0 j x$

This means that, moving along the x-axis, only the transverse plate makes a contribution, and when we leave it, the induction becomes constant and equal to $B_{max}=\frac{\mu_0 j h}{2}$

Answer

B_{max}=\frac{\mu_0 j h}{2}