Electric Field and Potential: in a Certain Region, the Electric

Multiple Choice

Electric field and potential: In a certain region, the electric potential due to a charge distribution is given by the equation V(x,y,z) = 3x^2y2 + yz³ - 2z^3x, where x, y, and z are measured in meters and V is in volts. Calculate the magnitude of the electric field vector at the position (x,y,z) = (1.0, 1.0, 1.0) .

A) 4.3 V/m
B) 2.0 V/m
C) -8.1 V/m
D) 8.6 V/m
E) 74 V/m