Capacitance of cylindrical shells

AI Thread Summary
The discussion focuses on calculating the capacitance of cylindrical shells when their lengths differ, particularly when a dielectric material is sandwiched between them. Participants express that the capacitance will be higher due to fringe effects compared to equal-length cylinders. There is a request for a specific formula to account for this scenario, as existing formulas apply only to cylinders of the same length. The challenge lies in understanding how to incorporate the effects of differing lengths and fringe effects into the capacitance calculation. Overall, the need for a clear formula to address these conditions remains unresolved.
muthukrishnan
Messages
5
Reaction score
0
I know the capacitance of cylindrical shell formula if both cylinder length is same.If cylinders length differs between which the dielctric is sandwitched what is the formula to calculte the capacitance?
 
Physics news on Phys.org
What do you think it would be? How would you expect the capacitance to be different?
 
Capcitance cylindrical shell

Definetly it will be more .I would like to knowwhat is the formula and how to find the same.
 
I am not finding anay answer.Due fringe effect the capacitance will be more compred to same length cylinders equal to short length.Can anyone tell me the formula for the same
 
All this formula I know.These will workout when both cylinder lengths are same.My question is when there is change in lendth there will be charges dude to fringe effect.Is there any formula to apply during such condition
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'
So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
Back
Top