Legendre Polynomials

[labview1958]

I am trying to expand the following eaquation to plain english. Can anyone help?

 

The magnetic field on the z axis of a solenoid (in Gaussian units) is:

B=[2\pi(N/L)I/c][sin A_2-sin A_1], where A_i is the angle between a line perpendicular to the axis of the solenoid at one end and a point on the z axis.

 

If you write this in terms of z and expand, you can use Legendre polyomials to find the field off the axis and the dipole moment of the solenoid.

 

Can someone just make this equation simpler?

[labview1958]

Can someone make this simpler?

 

The magnetic field on the z axis of a solenoid (in Gaussian units) is:

B=[2\pi(N/L)I/c][sin A_2-sin A_1], where A_i is the angle between a line perpendicular to the axis of the solenoid at one end and a point on the z axis.