$A, B$ and $C$ are three points in a uniform electric field. The electric potential is

The electric potential $V$ at any point $(x, y, z),$ all in metres in space is given by $V = 4x^2$ volt. The electric field at the point $(1, 0, 2)$ in volt/meter, is 

The potential (in volts ) of a charge distribution is given by

$V(z)\, = \,30 – 5{z^2}for\,\left| z \right| \le 1\,m$

$V(z)\, = \,35 – 10\,\left| z \right|for\,\left| z \right| \ge 1\,m$

$V(z)$  does not depend on $x$  and  $y.$  If this potential is generated by a constant charge per unit volume $\rho _0$ (in units of $\varepsilon _0$ ) which is spread over a certain region, then choose the correct statement

The potential function of an electrostatic field is given by $V = 2x^2$. Determine the electric field strength at the point $(2\,m, 0, 3\,m)$

Electric potential is given by

$V = 6x – 8x{y^2} – 8y + 6yz – 4{z^2}$

Then electric force acting on $2\,C$ point charge placed on origin will be……$N$