Question:

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R

Assertion (A) : A spherical equipotential surface is not possible for a point charge.

Reason (R) : A spherical equipotential surface is possible inside a spherical capacitor.

In the light of the above statements, choose the correct answer from the options given below

Updated On: Apr 6, 2023
  • If both Assertion and Reason are true and Reason is correct explanation of Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
  • If Assertion is true but Reason is false.
  • If both Assertion and Reason are false.
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The Correct Option is D

Solution and Explanation

Consider a symmetrical spherical surface around the point charge at a distance $a$.
Potential at each point of this spherical surface is $V=\frac{1}{4 \pi \varepsilon_{0}} \times \frac{q}{a}=$ constant This surface acts as an equipotential surface. Consider a isolated spherical capacitor of radius $b$.
Potential of each point on the surface $V=\frac{1}{4 \pi \varepsilon_{0}} \times \frac{Q}{b}=$ constant.
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Concepts Used:

Electrostatic Potential

The electrostatic potential is also known as the electric field potential, electric potential, or potential drop is defined as “The amount of work that is done in order to move a unit charge from a reference point to a specific point inside the field without producing an acceleration.”

SI Unit of Electrostatic Potential:

SI unit of electrostatic potential - volt

Other units - statvolt

Symbol of electrostatic potential - V or φ

Dimensional formula - ML2T3I-1

Electric Potential Formula:

The electric potential energy of the system is given by the following formula:

U = 1/(4πεº) × [q1q2/d]

Where q1 and q2 are the two charges that are separated by the distance d.