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 $(1\, m, 0, 2\, m)$ in $volt/metre$ is
$8$ along negative $x-$ axis
$8$ along positive $x-$ axis
$16$ along negative $x-$ axis
$16$ along positive $x-$ axis
In a particle accelerator, a current of $500 \,\mu A$ is carried by a proton beam in which each proton has a speed of $3 \times 10^7 \,m / s$. The cross-sectional area of the beam is $1.50 \,mm ^2$. The charge density in this beam (in $C / m ^3$ ) is close to
Charge $q$ is uniformly distributed over a thin half ring of radius $R$. The electric field at the centre of the ring is
When a proton is accelerated through $1\,V,$ then its kinetic energy will be........$eV$
Figures below show regular hexagons, with charges at the vertices, In which of the following cases the electric field at the centre is not zero.
The value of electric potential at any point due to any electric dipole is