The voltage is mapped out everywhere in in a 2D-space for a certain distribution of charge. The voltage data is presented in the table to the right and each value is in volts.
(a) Map out these voltage values and sketch a set of equipotential surfaces for V = -400V, -100V, 200V, 500V, 800V and 1100V.
(b) Sketch the electric vector field.
(c) What is an equation for the electric potential as a function of x and y?
(d) What is the electric field as a function of x and y?