2. **Angular momentum. Consider the apparatus illustrated in FIG. 1. There is a magnetized, non-conducting sphere of radius a that has a thin layer of conductor on its surface. The inner sphere is a ferromagnet with uniform magnetization M, that points in the Z direction. A concentric conducting sphere of inner radius b surrounds it. (a) Initially, the inner sphere has charge +() and the outer sphere has charge (). Show? that the 2 component of the total angular momentum L, stored in the electromagnetic fields is 2 5,1 1 Q#0M0a (a - E) (b) (c) Now imagine that a large resistor runs along the z axis that allows the two spheres to gradually discharge. If the spheres are free to rotate along their 2 axis, they will start to spin. Make a sketch that shows why there are J x B forces on the two spheres.? In the upper half of the outer sphere, what direction is the force on the outer sphere? What direction is the force on the inner sphere in its upper half?* What direction is the angular momentum associated with these rotations? What is the mechanical angular momentum of the two spheres once the shells have fully discharged? F16. 1. Nonconducting sphere surrounded by two con- ducting spherical shells of radii @ and & The inner sphere is solid and magnetized