The Electric Potential of a Charge Distribution Is Given by the Equation

Multiple Choice

The electric potential of a charge distribution is given by the equation V(x) = 3 x² y² + y z³ - 2 z³x, where x, y, z are measured in meters and V is measured 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