The electric potential in a certain region is given by the equation V(x,y,z) = 3?x2y3 - 2?x2y4z2 where the potential is in volts when the positions are given in meters.
a) Write an equation for the x-component of the electric field.
b) Write an equation for the y-component of the electric field.
c) Write an equation for the z-component of the electric field.
d) Calculate the magnitude of the electric field at the point (x1,y1,z1) = (-5.0, 2.0, 1.5) m in units of N/C. Use ? = 1 V/m5 and ? = 1 V/m8.