Flux Density and Capitance relationship?

AI Thread Summary
The discussion centers on the relationship between flux density and capacitance in a parallel plate capacitor. It confirms that capacitance (C) can be expressed using the equation C = e0 A/d, where e0 is the permittivity of free space, A is the area of the plates, and d is the separation distance. The voltage across the capacitor is related to the electric field (E) and distance (d) by V = E d. The user seeks to find charge (Q) using the simulation parameters available, including electric potential and total flux density. The conversation emphasizes the need for equations that relate these electromagnetic parameters to capacitance.
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 enviroment, 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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