The diagrams below show regions of equipotentials.A positive charge is moved from $A$ to $B$ in each diagram.
In all the four cases the work done is the same.
Minimum work is required to move $q$ in figure $(I).$
Maximum work is required to move $q$ in figure $(II).$
Maximum work is required to move $q$ in figure $(III).$
A point charge $+Q$ is placed just outside an imaginary hemispherical surface of radius $R$ as shown in the figure. Which of the following statements is/are correct?
(IMAGE)
$[A]$ The electric flux passing through the curved surface of the hemisphere is $-\frac{\mathrm{Q}}{2 \varepsilon_0}\left(1-\frac{1}{\sqrt{2}}\right)$
$[B]$ Total flux through the curved and the flat surfaces is $\frac{Q}{\varepsilon_0}$
$[C]$ The component of the electric field normal to the flat surface is constant over the surface
$[D]$ The circumference of the flat surface is an equipotential
Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.
Two point charges of magnitude $+q$ and $-q$ are placed at $\left( { - \frac{d}{2},0,0} \right)$ and $\left( {\frac{d}{2},0,0} \right)$, respectively. Find the equation of the equipotential surface where the potential is zero.
What is an equipotential surface ? Draw an equipotential surfaces for a
$(1)$ single point charge
$(2)$ charge $+ \mathrm{q}$ and $- \mathrm{q}$ at few distance (dipole)
$(3)$ two $+ \mathrm{q}$ charges at few distance
$(4)$ uniform electric field.
The angle between the electric lines of force and the equipotential surface is