If 5 J of work is required to be done in moving a charge of 10 C from point A to point B, then the potential difference between these points will be __________.

In context to electric field intensity and potential which of the following is true. (i) Electric field intensity is perpendicular to the equipotential surface. (ii) Electric field intensity is directed towards decreasing value of potential. (iii) Magnitude of electric field intensity is equal to maximum rate of change of potential with respect to distance.

If V represents electric potential then the operation $-\nabla \left({\in }_0{\in }_{r}V\right)$ will give ___________.

If V represents electric potential and let $\overline{A }=-\nabla \left({\in }_0{\in }_{r}V\right)$, then $\nabla · \overline{A }$ will have unit

In a free space if potential $V = x^{2}y (z+3)$ V, then volume charge density at point (1,1,1) will be ___________.

If electric potential is given as $V = 12x + 6y^2$ V, then the direction of electric field intensity at point (4,0,4) will be ______ .

Potential $V = 2x{y}^2{z}^3+3\ln (x^2+2y^2+3z^2)$ V in a free space. Magnitude of Electric field intensity at point P(3,2,-1) in direction $\overline{a_x}$ will be _________ V/m.

Choose the best definition of an electric dipole

A system of two equal and opposite charges (+Q and -Q) separated by a small distance d, has a dipole moment P equal to

For an electric dipole, the direction of the dipole moment is __________.