The electric potential in a certain region is given by the equation V(x,y,z) = 3αx^2y^3 - 2γx^2y^4z^2 where the potential is in volts when the positions are given in meters. The constants in this equation are α = 3.6 V/m^5 and γ = 1.34 V/m^8
Write an equation for the x-component of the electric field.
Write an equation for the y-component of the electric field.
Write an equation for the z-component of the electric field.
Calculate the magnitude of the electric field at the point (x1,y1,z1) = (-5.0, 2.0, 1.5) m in units of newtons per coulomb.