Charge distribution and total charge

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SUMMARY

The discussion centers on calculating charge distribution and total charge for two curved metal plates fitted on a pipe with a 9V potential applied. The dimensions of the plates are 130mm x 65mm. The charge distribution is defined as dQ/dA, and the total charge Q is determined by integrating this distribution over the entire area. The Schwarz transformation is referenced as a method for solving cylindrical capacitor problems, although alternative methods are sought by participants.

PREREQUISITES
  • Understanding of electrostatics and capacitance principles
  • Familiarity with charge distribution concepts
  • Knowledge of integration techniques in calculus
  • Experience with cylindrical geometry in electrical engineering
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  • Research the Schwarz transformation for cylindrical capacitor calculations
  • Study methods for calculating capacitance in non-planar geometries
  • Explore numerical methods for charge distribution analysis
  • Learn about alternative techniques for solving electrostatic problems
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Electrical engineers, physicists, and students studying electrostatics or capacitor design who need to understand charge distribution and capacitance calculations in complex geometries.

mathew086
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I am having two metal sheets which are curved and fitted on the outer sides of a pipe. A 9V pottential is applied to both the plates.
Dimensions of the plate = 130mm X 65mm (L X B)
How can i find the charge distribution on the plates to find the total charge. I need this to calculate the capacitance produced. ( mathematical way)

I have seen that the charge distribution on a surface = dQ/dA and total charge Q = intrgrating this charge distribution over the whole area.

So inorder to find the charge distribution over the whole surface, i need to add twice the charged distribution on a single plate. ( am I correct??)
 
Physics news on Phys.org
Smythe "Static and Dynamic Electricity" 3rd Edition Chapter IV uses the Schwarz transformation to solve cylindrical geometry capacitor problems.

Why do you think you have to multiply the charge by two? All of the charge is on the inside surfaces.
Bob S
 
Hey bob

I looked for schwarz transformation to calculate that in google. but could find anything. Is there any other method.
 

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