Fields at the ends of a parallel plates

AI Thread Summary
Field lines bulge outward at the ends of finite-length plates due to their tendency to align perpendicularly to the surface. This outward bulging is similar to the behavior of dipoles, where the configuration seeks to minimize total energy. If the lines curved inward, it would increase the field strength between the plates, resulting in higher stored energy. The optimal arrangement occurs when the lines spread out into space, reducing their density and minimizing energy. Understanding this behavior helps clarify the differences between finite and infinite plate configurations.
Pranav Jha
Messages
141
Reaction score
1
Why do the field lines bulge out at the ends of plates with finite lengths? I understand why the field is uniform between infinitely long plates but cannot extend the concept to plates with fixed length:(

I know they have to bulge but why not bulge inwards rather than outwards?
 
Physics news on Phys.org
Hi Pranav Jha! :smile:

Basically, it's because they prefer to go perpendicular to the surface …

at the end, that's outward! :wink:
 
Another explanation comes from realizing that the configuration must have minimal total energy. Curving the lines inwards increases the field strength in between the plates, leading to higher stored energy. (Energy is proportional to the square of the density of flux lines.) Energy is minimized when the lines spread out into space with low density.
 
I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...
Back
Top