The electric potential in a region of space is V = 100(x 2 y 2 )

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The electric potential in a region of space is V = 100(x2 – y2) V, where x and y are in meters.

a. Draw a contour map of the potential, showing and labeling the –400 V, –100 V, 0 V, +100 V, and +400 V equipotential surfaces.

b. Find an expression for the electric field E(vector) at position (x, y).

c. Draw the electric field lines on your diagram of part a.

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