Understanding Electric Field: Why is it Greater at Sharp Points?

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Homework Help Overview

The discussion revolves around the concept of electric fields, specifically why the electric field strength is greater at sharp points of charged objects, using examples such as a knife blade. Participants are exploring the relationship between surface geometry and electric field intensity.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the reasoning behind the increased electric field strength at sharp points, with some suggesting that the convergence of electric field lines contributes to this phenomenon. Others are discussing the implications of charge distribution on surfaces and its effects on electron emission.

Discussion Status

There is an ongoing exploration of the topic, with participants providing insights into the relationship between surface curvature and electric field strength. Questions remain about the specifics of phenomena such as sparks in microwaves and the role of plasma, indicating a productive exchange of ideas without a definitive consensus.

Contextual Notes

Participants are navigating assumptions about charge distribution and the effects of geometry on electric fields, as well as the implications of these concepts in practical scenarios like using conductors in microwaves.

dowjonez
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My teacher in class told me that the electric field of a equally charged object is greater at sharp points, he never explained why and i don't really understand it.

For example if a knife was a charged object the electric field would be greatest at the point of the blade.


Im thinking that since electric field lines cannot overlap and since two lines are converging at a point that the field lines must increase to avoid each other

i dunno

any help?
 
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Electrons are emitted where the electrical field strength is greatest; this is from wherever the radius of curvature of the surface is smallest, i.e. from a sharp point or edge rather than a flat surface.
 
Charge is distributed on the surface of a conductor. So you can sort of think of a point of a knife as having the more surface area per volume then the rest of it.

This is also why you shouldn't put pointy conductors in a microwave. The small surface area of the point can cause a huge build-up of charge when the electrons are sloshing back and forth due to the changing radiation. The buildup at a point can easily have voltages high enough to inonize air.
 
ranger said:
Electrons are emitted where the electrical field strength is greatest; this is from wherever the radius of curvature of the surface is smallest, i.e. from a sharp point or edge rather than a flat surface.

This would seem to explain why you get sparks in a microwave oven from crinkled foil but not from a smoother metal surface like a spoon, correct? I am also scouring this forum for a satisfactory explanation of the role of plasma in the creation of sparks in a microwave - what exactly is happening that results in the creation of a "spark", that can be seen, in a microwave? Is it like a plasma arc? Where does the light come from? Presumably photon, ok that might sound stupid, but I am curious about the underlying sequence of events that makes the visible spark.

cheers:cool:
 

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