(D) The work done $W$ in moving a charge $q_0$ from point $A$ to point $C$ in the presence of a source charge $Q$ at $B$ is given by $W = q_0(V_C - V_

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(D) The work done $W$ in moving a charge $q_0$ from point $A$ to point $C$ in the presence of a source charge $Q$ at $B$ is given by $W = q_0(V_C - V_A)$.Here,the source charge is $Q$ at $B$. The distance $BA = l$ and $BC = l$.The electric potential at point $A$ due to charge $Q$ is $V_A = \frac{1}{4\pi \varepsilon_0} \frac{Q}{l}$.The electric potential at point $C$ due to charge $Q$ is $V_C = \frac{1}{4\pi \varepsilon_0} \frac{Q}{l}$.Since $V_A = V_C$,the potential difference $\Delta V = V_C - V_A = 0$.Therefore,the work done $W = (-q) \times (0) = 0$.

Class 12 Physics Electric Potential and Capacitance Electric potential

Easy

$A$ charge $(-q)$ and another charge $(+Q)$ are kept at two points $A$ and $B$ respectively. Keeping the charge $(+Q)$ fixed at $B$,the charge $(-q)$ at $A$ is moved to another point $C$ such that $ABC$ forms an equilateral triangle of side $l$. The net work done in moving the charge $(-q)$ is

A
$\frac{1}{4\pi \varepsilon_0} \frac{Qq}{l}$
B
$\frac{1}{4\pi \varepsilon_0} \frac{Qq}{l^2}$
C
$\frac{1}{4\pi \varepsilon_0} Qql$
D
Zero

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Electric Potential and Capacitance

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Electric potential

Charge is uniformly distributed on the surface of a hollow hemisphere. Let $O$ and $A$ be two points on the base of the hemisphere,where $O$ is the center of the base and $A$ is a point between the center and the rim. Let $V_O$ and $V_A$ be the electric potentials at $O$ and $A$ respectively. Then,

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$A$ particle has a mass $400$ times that of an electron and a charge double that of an electron. It is accelerated by a potential difference of $5 \ V$. If the particle was initially at rest,what will be its final kinetic energy in $eV$?

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$A$ hollow metal sphere of radius $5\,cm$ is charged such that the potential on its surface is $10\,V$. The potential at a distance of $2\,cm$ from the centre of the sphere is.......$V$.

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If on the concentric hollow spheres of radii $r$ and $R$ $(R > r)$ the charge $Q$ is distributed such that their surface charge densities are the same,then the potential at their common centre is:

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The work done in moving a charge of $20 \ C$ from point $A$ to point $B$ is $2 \ J$. What is the potential difference between the two points (in $V$)?

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$A$ charge $(-q)$ and another charge $(+Q)$ are kept at two points $A$ and $B$ respectively. Keeping the charge $(+Q)$ fixed at $B$,the charge $(-q)$ at $A$ is moved to another point $C$ such that $ABC$ forms an equilateral triangle of side $l$. The net work done in moving the charge $(-q)$ is

Similar Questions

Charge is uniformly distributed on the surface of a hollow hemisphere. Let $O$ and $A$ be two points on the base of the hemisphere,where $O$ is the center of the base and $A$ is a point between the center and the rim. Let $V_O$ and $V_A$ be the electric potentials at $O$ and $A$ respectively. Then,

$A$ particle has a mass $400$ times that of an electron and a charge double that of an electron. It is accelerated by a potential difference of $5 \ V$. If the particle was initially at rest,what will be its final kinetic energy in $eV$?

$A$ hollow metal sphere of radius $5\,cm$ is charged such that the potential on its surface is $10\,V$. The potential at a distance of $2\,cm$ from the centre of the sphere is.......$V$.

If on the concentric hollow spheres of radii $r$ and $R$ $(R > r)$ the charge $Q$ is distributed such that their surface charge densities are the same,then the potential at their common centre is:

The work done in moving a charge of $20 \ C$ from point $A$ to point $B$ is $2 \ J$. What is the potential difference between the two points (in $V$)?

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