Plotting constant field lines

*To*: mathgroup at smc.vnet.net*Subject*: [mg116795] Plotting constant field lines*From*: HonestMath <honestmath at gmail.com>*Date*: Mon, 28 Feb 2011 05:01:20 -0500 (EST)

Hello, I have 2 questions related to an equation for a magnetic field vector, B, from a dipole in cylindrical coordinates: B = (u0*m/4*Pi*r^3)* {2 Cos[theta] , Sin[theta]} where the first index is the r component and the second is the theta component. First, how do I use VectorPlot to plot this in cylindrical coordinates? Second, without using any higher end built in Mathematica functions, How do I get Mathematica to plot field lines of constant Magnetic field strength? I'm using PolarPlot, but coming up short. I am attempting to recreate the field lines as shown on page 3 in: http://www.intalek.com/Index/Projects/Research/MagneticForcesandTorq.pdf I am using Mathematica to formulate this, but will eventually have to transfer it, so will not have access to all the built in Mathematica functions. Cheers! Matt