Question

How does the charge densities of the conductors vary on an irregularly shaped conductor?
A. less at sharp and high at flat portion
B. High at sharp and less at flat portion
C. Remains constant
D. Zero at sharp and high at the flat portion

Answer 1

Hint:The above problem can be resolved using the concepts and application of the charge densities. Moreover, to achieve the smooth solution for the problem, the mathematical relation of charge density with that of radius of curvature of irregular surface is to be applied firmly.

Complete step by step answer:
The charge density for an irregular conductor varies inversely with the radius of the curvature of the irregularities or the irregular curved surfaces. This means the accumulation of the charges is more if the radius of the curvature of the irregular surface is less. The less radius of curvature of the surface makes the surface appear as pointed, whereas the curvature having the laving the large value of the radius accounts to appear as flattened surfaces. And these flatten surfaces possess lower charge densities.
Therefore, one must conclude that the charge densities of the conductors are high at sharper edges and less at the flatter portions and the option B is correct.

Note:In order to resolve the given problem, one must be aware of the concepts and applications of the charge densities along with its impact on the surfaces of the conductors. Moreover, the significance of the mathematical relation for the charge density and the shape of the conductor plays a vital role in resolving and predicting solutions for given conditions.