Four lines from a square in the z = 0 plane, centered at the origin, with...

Four lines from a square in the z = 0 plane, centered at the origin, with a side length of 2a. The lines at x = a and x = -a have a positive charge density +λ0, and the lines at y = a and y = -a have a negative charge density −λ0.

a. Find an expression for the potential at an arbitrary point (x, y, z).

b. Use your result from part (a) to find the potential at the point (x = 2a, y = 0, z), and the origin.

c. Graph the potential as a function of position on the x – axis.

Expert Solution

a)

The potential is

Here k is the electrostatic force constant.

b) At x = 2a, y = 0, the potential becomes

c) The graph is plotted on Mathematica for ,y = 0, z 0, k =1 , lambda = 1, a = 1. The potential blows up at x = a = 1 and x = a = -1

genius_generous answered 2 years ago

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