V(x, y, z) = A(x2 - 3y2 + Z2)
Where A is a constant
(a) Derive an expression for the electric field E at any point in this region.
(b) The work done by the field when a 1.50-µC test charge moves from the point (x, y, z) = (0, 0, 0.250 m) to the origin is measured to be 6.00 X 10-5 J. Determine A.
(c) Determine the electric field at the point (0, 0, 0.250 m).
(d) Show that in every plane parallel to the xz-plane the equipotential contours are circles.
(e) What is the radius of the equipotential contour corresponding to V = 1280 V and y = 2.00 m?