Rankers Physics

Electric Potential: Practice Problem & Solution

Assertion (A): Electrostatic field inside a conducting shell is always zero. Reason (R): The electrostatic potential is always same from center to surface of a conducting shell.  
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

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 conductors in electrostatic equilibrium.
Formula: \( \vec{E} = -\nabla V \).
Solution: In a conductor, free charges redistribute to make \( \vec{E} = 0 \) inside (A is true). If \( \vec{E} = 0 \) inside, then \( V \) must be constant (R is true) and thus (R) correctly explains (A).

Leave a Reply

Your email address will not be published.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

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Point charge (q) moves from point (P) to point (S) along the path PQRS as shown in fig. in a uniform electric field E pointing co parallel to the positive direction of the x-axis. The co-ordinates of the points P,Q,R and S are (a, b, 0), (2a, 0, 0), (a, –b, 0) and (0, 0, 0) respectively. The work done by the field in the above process is given by the expression
2. Assertion (A): Electric potential of earth is taken as zero. Reason (R): Electric field strength on the surface of earth is zero.  
3. Assertion (A): When a dipole is placed in a non- uniform electric field dipole must experience non zero force and torque. Reason (R): Electric dipole is in stable equilibrium in non uniform electric field.  
4. The number of electrons that should be removed from a metal coin such that coin acquires a positive charge of \(10^{-10}\text{ C}\) is
5. Three point charges $+q$, $-2q$ and $+q$ are placed at points $(x=0, y=a, z=0)$, $(x=0, y=0, z=0)$ and $(x=a, y=0, z=0)$ respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are: (2007)