Potential Inside a Charged Conducting Sphere – Rankers Physics

Electric Potential: Practice Problem & Solution

The electrostatic potential on the surface of a charged solid conducting sphere is \( 100 \text{ volts} \). Two statements are made in this regard : Assertion (A): At any point inside the sphere, electrostatic potential is \( 100 \text{ volt} \). 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 Explained:

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:

For a charged solid conducting sphere, the electric field inside is zero \( (\vec{E} = \vec{0}) \). Consequently, the potential \( V \) inside is constant and equal to the potential on its surface. Therefore, both (A) and (R) are true, and (R) correctly explains (A).

Leave a Reply

Your email address will not be published. Required fields are marked *