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.
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.
If the electric potential along every point of any imaginary surface in an electric field is the same, then such a surface is called an equipotential surface.
$(1)$ The electric potential of a single charge $q$ to distance $r$ is,
$\mathrm{V}=\frac{k q}{r} \quad \therefore \mathrm{V} \propto \frac{1}{r}$
This shows that $\mathrm{V}$ is a constant if $r$ is constant. Hence surface passing through points having same $r$ obtain as spherical and its radius is $r$ and $q$ is the electric charge on the centre as shown in below figure.
More than one equipotential surfaces can be drawn for different radius.
Clearly the field lines at every point is normal to the equipotential surface passing through that point.
The electric field lines for a single charge $q$ are radial lines starting from or ending at the charge are depending on whether $q$ is positive or negative which is shown in this figure.
Similar Questions
Describe schematically the equipotential surfaces corresponding to
$(a)$ a constant electric field in the $z-$direction,
$(b)$ a field that uniformly increases in magnitude but remains in a constant (say, $z$) direction,
$(c)$ a single positive charge at the origin, and
$(d)$ a uniform grid consisting of long equally spaced parallel charged wires in a plane
Describe schematically the equipotential surfaces corresponding to
$(a)$ a constant electric field in the $z-$direction,
$(b)$ a field that uniformly increases in magnitude but remains in a constant (say, $z$) direction,
$(c)$ a single positive charge at the origin, and
$(d)$ a uniform grid consisting of long equally spaced parallel charged wires in a plane
Draw an equipotential surface for dipole.
Draw an equipotential surface for dipole.
Define an equipotential surface.
Define an equipotential surface.
Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.
Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.
This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements
Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface
Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other
This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements
Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface
Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other
- [JEE MAIN 2013]