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A Physicist's Guide to Mathematica, 2nd Edition by Patrick T. Tam

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Chapter 5. Electricity and Magnetism

Electric Field Lines and Equipotentials

The Problem

Plot the electric field lines and equipotentials for two point charges q1 and q2 when (a) q1 = q2 = +q and (b) q1 = +2q and q2 = –q.

Physics of the Problem

Electric Field Lines

At position r, the electric field of a charge distribution consisting of a discrete distribution of N point charges q1,q2,..., qN at positions r1,r2,..., rN, respectively, and a continuous distribution of volume charge density ρ(r’) in the volume V and surface charge density σ(r’) on the surface S that bounds V is

Equation 5.1.1. 

where ε0 is the permittivity of free space. The electric field ...

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