(B) The electrostatic potential $V$ at a distance $r$ from a point charge $q$ is given by the formula: $V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$.From

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$A$ graph showing $V$ is inversely proportional to $r$.

(B) The electrostatic potential $V$ at a distance $r$ from a point charge $q$ is given by the formula: $V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$.From this expression,it is clear that the potential $V$ is inversely proportional to the distance $r$,i.e.,$V \propto \frac{1}{r}$.As $r$ increases,$V$ decreases following a rectangular hyperbola curve.Therefore,the graph representing $V$ versus $r$ is a curve where $V$ decreases as $r$ increases,which corresponds to the relationship $V \propto \frac{1}{r}$.

Class 12 Physics Electric Potential and Capacitance Electric potential

Medium

Which of the following graphs correctly shows how the electrostatic potential $V$ varies with distance $r$ from a point charge?

A
$A$ graph showing $V$ is directly proportional to $r$.
B
$A$ graph showing $V$ is inversely proportional to $r$.
C
$A$ graph showing $V$ is inversely proportional to $r^2$.
D
$A$ graph showing $V$ is constant with respect to $r$.

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Class 12

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Chapter

Electric Potential and Capacitance

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Electric potential

There is a uniformly charged non-conducting solid sphere made of material of dielectric constant $1$. If the electric potential at infinity is zero,then the potential at its surface is $V$. If we take the electric potential at its surface to be zero,then the potential at the centre will be

Medium

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If identical charges $(-q)$ are placed at each corner of a cube of side '$b$',what will be the $E.P.E$ (Electrostatic Potential Energy) of a charge $(+q)$ placed at the center of the cube?

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Two identical thin rings,each of radius $R \text{ m}$,are coaxially placed at a distance $R \text{ m}$ apart. If $Q_1$ and $Q_2$ coulombs are the charges uniformly spread on the two rings respectively,the work done in moving a charge $q$ from the centre of one ring to that of the other is

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If $27$ charged water droplets, each of radius $10^{-3} \,m$ and charge $10^{-12} \,C$ coalesce to form a single big spherical drop, then the potential of the big drop is (in $\,V$)

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Three concentric metallic shells $A, B$ and $C$ of radii $a, b$ and $c$ $(a < b < c)$ have surface charge densities $\sigma, -\sigma$ and $\sigma$ respectively. Find the potentials ${V_A}$ and ${V_B}$.

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Which of the following graphs correctly shows how the electrostatic potential $V$ varies with distance $r$ from a point charge?

Similar Questions

There is a uniformly charged non-conducting solid sphere made of material of dielectric constant $1$. If the electric potential at infinity is zero,then the potential at its surface is $V$. If we take the electric potential at its surface to be zero,then the potential at the centre will be

If identical charges $(-q)$ are placed at each corner of a cube of side '$b$',what will be the $E.P.E$ (Electrostatic Potential Energy) of a charge $(+q)$ placed at the center of the cube?

Two identical thin rings,each of radius $R \text{ m}$,are coaxially placed at a distance $R \text{ m}$ apart. If $Q_1$ and $Q_2$ coulombs are the charges uniformly spread on the two rings respectively,the work done in moving a charge $q$ from the centre of one ring to that of the other is

If $27$ charged water droplets, each of radius $10^{-3} \,m$ and charge $10^{-12} \,C$ coalesce to form a single big spherical drop, then the potential of the big drop is (in $\,V$)

Three concentric metallic shells $A, B$ and $C$ of radii $a, b$ and $c$ $(a < b < c)$ have surface charge densities $\sigma, -\sigma$ and $\sigma$ respectively. Find the potentials ${V_A}$ and ${V_B}$.

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