The electric potential at any point (x, y, z) in space is given by V = 3x^2 + y, where V is in volts and x, y are in meters. The magnitude of the ele…

The components of the electric field are given by $E_x = -\frac{\partial V}{\partial x} = -6x$, $E_y = -\frac{\partial V}{\partial y} = -1$, and $E_z = 0$. At point $(1, 2, 0)$, $E_x = -6(1) = -6\text{ V/m}$ and $E_y = -1\text{ V/m}$. The magnitude of the electric field is $E = \sqrt{E_x^2 + E_y^2 + E_z^2} = \sqrt{(-6)^2 + (-1)^2 + 0} = \sqrt{36 + 1} = \sqrt{37}\text{ V/m}$.