(A) The electric potential $V$ at a distance $r$ from a point charge $Q$ is given by $V = \frac{kQ}{r}$.Since points $A$ and $B$ are at the same dista

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(A) The electric potential $V$ at a distance $r$ from a point charge $Q$ is given by $V = \frac{kQ}{r}$.Since points $A$ and $B$ are at the same distance $r = 100\,cm = 1\,m$ from the metallic sphere,the electric potential at both points is equal,i.e.,$V_A = V_B$.The work done $W$ in moving a charge $q$ from point $A$ to point $B$ is given by $W = q(V_B - V_A)$.Since $V_A = V_B$,the potential difference $V_B - V_A = 0$.Therefore,the net work done $W = q(0) = 0\,joule$.

Class 12 Physics Electric Potential and Capacitance Equipotential Surface

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$A$ metallic sphere has a charge of $10\,\mu C$. $A$ unit negative charge is brought from $A$ to $B$,both $100\,cm$ away from the sphere,with $A$ being east of it and $B$ being west of it. The net work done is........$joule$.

A
$0$
B
$2/10$
C
$-2/10$
D
$-1/10$

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Electric Potential and Capacitance

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Equipotential Surface

There is $10$ units of charge at the centre of a circle of radius $10\,m$. The work done in moving $1\,unit$ of charge around the circle once is...........$units$.

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$A$ point charge $+q$ is placed at the origin. The work done in moving another point charge $-Q$ along the straight line path $AB$ from point $A$ with coordinates $(0, a)$ to point $B$ with coordinates $(a, 0)$ is .......

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Assertion $(A)$: In a region of constant potential,the electric field is zero and there can be no charge inside the region.
Reason $(R)$: According to Gauss's law,the charge inside the region should be zero if the electric field is zero.

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Write the characteristics of equipotential surface.

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In the electric field of a point charge $q$,a certain charge is carried from point $A$ to points $B, C, D$ and $E$ as shown in the figure. Then the work done:

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$A$ metallic sphere has a charge of $10\,\mu C$. $A$ unit negative charge is brought from $A$ to $B$,both $100\,cm$ away from the sphere,with $A$ being east of it and $B$ being west of it. The net work done is........$joule$.

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There is $10$ units of charge at the centre of a circle of radius $10\,m$. The work done in moving $1\,unit$ of charge around the circle once is...........$units$.

$A$ point charge $+q$ is placed at the origin. The work done in moving another point charge $-Q$ along the straight line path $AB$ from point $A$ with coordinates $(0, a)$ to point $B$ with coordinates $(a, 0)$ is .......

Assertion $(A)$: In a region of constant potential,the electric field is zero and there can be no charge inside the region.Reason $(R)$: According to Gauss's law,the charge inside the region should be zero if the electric field is zero.

Write the characteristics of equipotential surface.

In the electric field of a point charge $q$,a certain charge is carried from point $A$ to points $B, C, D$ and $E$ as shown in the figure. Then the work done:

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Assertion $(A)$: In a region of constant potential,the electric field is zero and there can be no charge inside the region.
Reason $(R)$: According to Gauss's law,the charge inside the region should be zero if the electric field is zero.