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

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The electric field strength is greater at sharp points due to the concentration of electric field lines, which cannot overlap and thus converge at these locations. Electrons are emitted more readily from sharp points because the radius of curvature is smallest, leading to a higher charge density. This phenomenon explains why pointy conductors, like knives, can accumulate significant charge and create high voltages, potentially ionizing air and causing sparks. In microwaves, crinkled foil can produce visible sparks due to this charge buildup, while smoother surfaces do not. Understanding the role of plasma and photon emission in these sparks is essential for grasping the underlying physics.
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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