Electric Potential: Practice Problem & Solution
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.
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Electric Potential. Understanding the underlying formula is key to arriving at the correct answer below:
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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