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Assertion : Surface charge density of an...

Assertion : Surface charge density of an irregularly shaped conductor is non-uniform.
Reason : Surface density is defined as charge per unit area.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the surface charge density of an irregularly shaped conductor is non-uniform. - In conductors, charges reside on the surface, and they distribute themselves in such a way that the electric field inside the conductor is zero. 2. **Understanding Surface Charge Density**: - Surface charge density (σ) is defined as the amount of charge (Q) per unit area (A) on the surface of the conductor, mathematically expressed as: \[ \sigma = \frac{Q}{A} \] - For an irregularly shaped conductor, the surface area is not uniform due to its shape, leading to varying charge distribution. 3. **Charge Distribution on Irregular Surfaces**: - On an irregularly shaped conductor, areas with sharp edges or points will have a higher concentration of charge because the electric field lines converge more in these regions. - Conversely, smoother areas will have a lower concentration of charge. This results in a non-uniform surface charge density. 4. **Analyzing the Reason**: - The reason states that surface density is defined as charge per unit area. This is indeed correct and is a fundamental definition in electrostatics. - This definition helps explain why the surface charge density can vary across an irregular surface. 5. **Conclusion**: - Both the assertion and the reason are true. - The reason provided is a correct explanation for the assertion since it clarifies how surface charge density is defined and why it varies on an irregular conductor. ### Final Answer: Both the assertion and the reason are true, and the reason is the correct explanation for the assertion. ---
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