Physics 364 Assignment 2

Due November 7

1. Kivelson and Russell 2.5.
2. Kivelson and Russell 2.6.
3. Using the magnetic field line equations, write the magnitude of the dipole magentic field in terms of the :
   1. L paramter and radial distance r,
   2. L parameter and the latitude λ.
4. Consider a B field that is purely in the x-direction with the form:

    B(z) = B0 tanh(z/d) 

   Find the current density (magnitude and direction) and the plasma pressure distribution for this equilibrium.