Flux Density and Capitance relationship?

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Discussion Overview

The discussion revolves around the relationship between flux density and capacitance in the context of a parallel plate capacitor. Participants explore whether these concepts can be related mathematically and seek equations that connect electromagnetic parameters with parallel plate capacitance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant asks if there is a way to relate flux density with capacitance and requests relevant equations.
  • Another participant provides an equation for voltage in a parallel capacitor, relating it to electric field and separation, and derives capacitance as C = e0 A/d.
  • A participant questions the relationship between charge Q and electric field E, suggesting Q = e0 A E based on earlier equations.
  • Further exploration of the relationship between Q, E, and capacitance is presented, with variations of the equation being discussed.
  • One participant seeks guidance on how to calculate capacitance using parameters available from simulation software, including electric potential, total flux density, total field intensity, current density, and inductance.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the direct relationship between flux density and capacitance, and the discussion includes multiple approaches and equations without reaching a consensus.

Contextual Notes

Participants rely on various assumptions about the definitions of electric field, charge, and capacitance, and the discussion does not resolve the mathematical relationships or dependencies between these parameters.

Who May Find This Useful

This discussion may be of interest to those studying electromagnetism, capacitor design, or simulation of electrical systems, particularly in relation to capacitance and electric field concepts.

Oscar6330
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Is there a way to relate flux Density with capacitance (Parallel plate capacitor). Yes/ No...

I will be thankful if you tell me the equation is there is a relationship.

In case we cannot relate them, then is there a way to relate any electromagnetic parameter with parallel plate capacitance.

Thanks
 
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The voltage V on a parallel capacitor = E d where E is electric field (electric flux density) and d is separation.

C = Q/V = Q/(E d) =e0 A/d; e0 = 8.85 x 10^-12 Farads per meter
 
Bob S said:
The voltage V on a parallel capacitor = E d where E is electric field (electric flux density) and d is separation.

C = Q/V = Q/(E d) =e0 A/d; e0 = 8.85 x 10^-12 Farads per meter
Is Q= (e0 A)/E??
 
Oscar6330 said:
Is Q= (e0 A)/E??

From my last equation

Q/V = Q/(E d) = e0A/d

So Q = e0A E

(or = e0A V/d or = V C)
 
Bob S said:
From my last equation

Q/V = Q/(E d) = e0A/d

So Q = e0A E

(or = e0A V/d or = V C)

Thanks for your generous reply.

I am getting the value of E from my simulation software. 'd' is the distance between parallel plates, which is known. But what about Q. How can find Q? from the Simulation environment, I can compute the following variables

1. electric Potential
2. Total Flux Density
3. Total Field Intensity
4. Current Density
5. Inductance.

Pl tell me some equation that can be used to calculate capacitance (parallel plate), using the parameters that can be calculated using the software (5 listed above).

Thanks
 

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