The electric potential at a point in free space due to charge $Q$ coulomb is $V=Q$$ \times {10^{11}}\,V$ . The electric field at that point is
$4\pi {\varepsilon _0}Q \times 10^{20}\;V/m$
$\;12\pi {\varepsilon _0}Q \times {10^{22}}\;V/m$
$\;4\pi {\varepsilon _0}Q \times {10^{22}}\;V/m$
$\;12\pi {\varepsilon _0}Q \times {10^{20}}\;V/m$
The electric potential in a region is represented as $V = 2x + 3y -z$ ; then the expression of electric field strength is
A sphere carrying charge of $Q$ having weight $w$ falls under gravity between a pair of vertical plates at a distance of $d$ from each other. When a potential difference $V$ is applied between the plates the acceleration of sphere changes as shown in the figure, to along line $BC$. The value of $Q$ is :-
In which region magnitude of $x$ -component of electric field is maximum, if potential $(V)$ versus distance $(X)$, graph is as shown?
$A, B$ and $C$ are three points in a uniform electric field. The electric potential is
The diagram below shows electric field lines in a region of space. Which of the following diagrams best shows the variation with distance $d$ of the potential $V$ along the line $XY$ as we move from $X$ to $Y$ ?