The center of a non-magnetic metal ball with radius $R$ is at the origin; the ball is in a homogeneous magnetic field $B$ that is parallel to the $x$-axis. The ball rotates with an angular speed $\omega$ around the x-axis. At $x=L$, $y=z=0$ there is another identical metal ball that does not rotate.
Find the interaction force between the two balls, assuming that $L \gg R$, and $R \ll \sqrt{\rho/\mu_0 \omega}$, where $\rho$ denotes the ball’s resistivity and $\mu_0$ is the vacuum permeability.
