- #1
jdstokes
- 523
- 1
I'm sure I used to have a really simple answer to this. But I've long since forgotten.
BTW This is not my homework.
James
BTW This is not my homework.
James
maverick280857 said:The local charge density varies inversely as the square of the radius of curvature.
So that the potential may satisfy the Laplacian outside the conductor.jdstokes said:Yes, of course. But why??
robphy said:Here's a simple model.
Consider two conducting spheres, with unequal radii A and B, connected by a long thin conducting wire... so the spheres are at the same potential. How do free charges distribute themselves on the two spheres?
The accumulation of charge at sharp points is due to a phenomenon known as "corona discharge". This occurs when an electric field is strong enough to ionize the surrounding air molecules, causing them to become charged particles. Due to the curvature of a sharp point, the electric field is concentrated, leading to a higher chance of ionization and therefore, charge accumulation.
Yes, the material of the sharp point can affect the accumulation of charge. Materials with a higher dielectric strength, such as metals, are more likely to accumulate charge at a sharp point compared to materials with a lower dielectric strength, such as plastics.
Yes, the accumulation of charge at sharp points can be harmful. If the charge buildup is high enough, it can lead to a spark or electrical discharge, which can damage electronic equipment or cause electric shocks to individuals.
The accumulation of charge at sharp points can be controlled by using a process called "corona suppression". This involves applying a conductive material or coating to the sharp point, which helps to dissipate the electric field and prevent charge buildup.
Yes, in certain applications, the accumulation of charge at sharp points can be beneficial. For example, in electrostatic precipitators, the sharp points are intentionally used to attract and collect charged particles from the air. In this case, the charge accumulation is controlled and used for a specific purpose.