Could you kindly please do the following question with as much detail as you can? I really want to understand this question. Please help! Thanks a lot in advance. The surface of a solid magnet carrying constant magnetization Mz is described by the following equation x^2 + y^2 + a^2z^2 = R^2.

1. Sketch the magnet for a < 1 and for a > 1.
2. Calculate the surface normal as a function of z and check that your result is normalized. Compare your result to the surface normal of a sphere. This is a useful check on your equation for the surface normal vector.
3. Calculate the bound volume and surface currents. Check units as you go and check your results in comparison with those you would expect from a sphere. These are useful checks to make as you progress through an algebraically slightly messy problem. Feel free to use Mathematica if it is useful.
4. Using the Biot Savart law, derive the magnetic field at the origin in integral form. The integral is a little messy and you can use Mathematica or the following indefinite integrals:

Views: 5,261 students