Variation of electrostatic potential along $x$-direction is shown in the graph. The correct statement about electric field is
$x$ component at point $B$ is maximum
$x $ component at point $A$ is towards positive $x$-axis.
$x$ component at point $C$ is along negative $x-$ axis
$x $ component at point $C$ is along positive $x$ -axis
What is potential gradient ?
Figure shows two equipotential lines in $x, y$ plane for an electric field. The scales are marked. The $x-$ component $E_x$ and $y$ -component $E_y$ of the electric field in the space between these equipotential lines are respectively :-
Determine the electric field strength vector if the potential of this field depends on $x, y$ coordinates as $V=10$ axy
The potential $V$ is varying with $x$ and $y$ as $V\, = \,\frac{1}{2}\,\left( {{y^2} - 4x} \right)\,volt.$ The field at ($1\,m, 1\,m$ ) 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