Step 1: Understanding the Concept:
Electrostatic equilibrium refers to a state where there is no net motion of charge within a conductor.
One of the primary properties of conductors in this state is that the electric field inside the material is zero.
Consequently, according to Gauss's Law, the net charge enclosed by any Gaussian surface inside the conductor must also be zero. Therefore, any excess charge resides solely on the outer surface.
Separately, a capacitor creates an electric field in the space between its plates. Any free charge carrier placed in this field will experience an electrostatic force (\(F = qE\)) and undergo acceleration or drift.
Step 2: Detailed Explanation:
Analysis of Assertion A:
The statement is factually correct. In electrostatics, if there were any net charge inside a conductor, it would create an internal electric field. This field would exert a force on free electrons, causing them to move. They would continue to move until they reached the surface and the internal field became zero. Thus, at equilibrium, the interior is charge-neutral.
Analysis of Reason R:
The statement is also factually correct. In the region between the plates of a charged capacitor, a uniform electric field exists. If a free electron or ion is introduced into this region, the field exerts a force on it. This results in the charge carrier moving (drifting) towards the plate of opposite polarity.
Evaluating the Relationship:
The assertion describes the property of a conductor material itself in equilibrium.
The reason describes the behavior of charges in a region of space containing an electric field (the capacitor gap).
The reason does not provide the causal mechanism for why charge stays on the surface of a solid conductor. The reason for the assertion is actually Gauss's Law and the property of repulsion between like charges.
Step 3: Final Answer:
Both statements are true individually, but the Reason is not a logical explanation for the Assertion.