Chapter 23, Problem 23.79P

DATA The electric potential in a region that is within 2.00 m of the origin of a rectangular coordinate system is given by V = Axⁱ + By^m + Czⁿ + D, where A, B, C, D, l, m, and n are constants. The units of A, B, C, and D are such that if x, y, and z are in meters, then V is in volts. You measure V and each component of the electric field at four points and obtain these results:

(a) Use the data in the table to calculate A, B, C, D, l, m, and n.

(b) What are V and the magnitude of E at the points (0, 0, 0), (0.50 m, 0.50 m. 0.50 m), and (1.00 m, 1.00 m, 1.00 m)?