Rankers Physics
Topic: Electrostatics
Subtopic: Electric Potential

The electrostatic potential on the surface of a charged solid conducting sphere is 100 volts. Two statements are made in this regard :
Assertion (A): At any point inside the sphere, electrostatic potential is 100 volt.
Reason (R): At any point inside the sphere, electric field is zero.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Concept: Properties of charged conductors.
Principle: Inside a conductor, \( \vec{E} = 0 \) and \( V = \text{constant} \).
Solution: For a solid conducting sphere, potential is uniform throughout its volume and equals surface potential (A is true). This is because the electric field inside a conductor is zero (R is true), implying constant potential. Thus, (R) correctly explains (A).

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