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

In summary, 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. He said that this is why you don't put pointy conductors in a microwave oven - the small surface area of the point can cause a huge build-up of charge. Electrons are emitted where the electrical field strength is greatest - 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.
  • #1
dowjonez
22
0
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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  • #2
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.
 
  • #3
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.
 
  • #4
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:
 

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

What is an electric field?

An electric field is a physical quantity that describes the force exerted on a charged particle by other charged particles in its vicinity. It is represented by a vector and is measured in units of newtons per coulomb (N/C).

How is an electric field calculated?

The electric field at a point can be calculated by dividing the force exerted on a test charge by the magnitude of the test charge. Mathematically, it is represented as E = F/q, where E is the electric field, F is the force, and q is the test charge.

What is the difference between electric field and electric potential?

Electric field is a vector quantity that describes the force on a charged particle, while electric potential is a scalar quantity that describes the potential energy per unit charge at a point in space. Electric potential is the integral of the electric field over a given distance.

How does an electric field affect the motion of charged particles?

The direction of the electric field determines the direction of the force exerted on a charged particle. If the electric field and the motion of the particle are in the same direction, the particle will experience an acceleration. If they are in opposite directions, the particle will experience a deceleration.

Can electric fields be shielded or cancelled out?

Yes, electric fields can be shielded or cancelled out by using conductive materials such as metal. This is because the electrons in a conductor can move freely and redistribute themselves in response to an external electric field, thereby neutralizing it.

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