Define an equipotential surface.
(N/A) An equipotential surface is a surface with a constant value of electric potential at all points on it.
For any charge distribution,the electric potential $V$ is the same at every point on an equipotential surface.
Consequently,the potential difference between any two points on such a surface is zero $(V_A - V_B = 0)$.
Since the work done in moving a test charge $q_0$ between two points on an equipotential surface is given by $W = q_0(V_A - V_B)$,it follows that no work is done in moving a charge along an equipotential surface.
Furthermore,the electric field lines are always perpendicular to the equipotential surface at every point.
For any charge distribution,the electric potential $V$ is the same at every point on an equipotential surface.
Consequently,the potential difference between any two points on such a surface is zero $(V_A - V_B = 0)$.
Since the work done in moving a test charge $q_0$ between two points on an equipotential surface is given by $W = q_0(V_A - V_B)$,it follows that no work is done in moving a charge along an equipotential surface.
Furthermore,the electric field lines are always perpendicular to the equipotential surface at every point.
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Given below are two statements: one is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.
Assertion $(A)$: Work done by an electric field on moving a positive charge on an equipotential surface is always zero.
Reason $(R)$: Electric lines of force are always perpendicular to equipotential surfaces.
In the light of the above statements,choose the most appropriate answer from the options given below:
Assertion $(A)$: Work done by an electric field on moving a positive charge on an equipotential surface is always zero.
Reason $(R)$: Electric lines of force are always perpendicular to equipotential surfaces.
In the light of the above statements,choose the most appropriate answer from the options given below:
DifficultJEE MAIN 2024
View SolutionOn rotating a point charge having a charge $q$ around a charge $Q$ in a circle of radius $r$,the work done will be:
What is an equipotential surface? Draw equipotential surfaces for:
$(1)$ $A$ single point charge
$(2)$ $A$ dipole (charges $+q$ and $-q$ at a small distance)
$(3)$ Two $+q$ charges at a small distance
$(4)$ $A$ uniform electric field.
$(1)$ $A$ single point charge
$(2)$ $A$ dipole (charges $+q$ and $-q$ at a small distance)
$(3)$ Two $+q$ charges at a small distance
$(4)$ $A$ uniform electric field.
Medium
View SolutionWhich of the following statements is not true?
There are two equipotential surfaces as shown in the figure. The distance between them is $r$. If a charge of $-q \text{ C}$ is moved from surface $A$ to surface $B$,the resultant work done will be:
Easy
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