Analogy Between Conductance & Capacitance

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SUMMARY

The discussion focuses on the analogy between capacitance (C) and conductance (G), emphasizing that while their formulas appear similar, the underlying physical principles are distinct. The equations for capacitance, C = εA/d, and conductance, G = σA/d, both relate to transport properties influenced by the electric field. The conversation highlights that this similarity arises from their geometric relationships and the concept of complex permittivity in time-harmonic fields. Ultimately, the discussion clarifies that the perceived analogy is rooted in algebraic similarities rather than a true conceptual equivalence.

PREREQUISITES
  • Understanding of electric field concepts
  • Familiarity with capacitance and conductance equations
  • Knowledge of transport properties in physics
  • Basic geometry related to electrical components
NEXT STEPS
  • Research the concept of complex permittivity in electromagnetic theory
  • Explore the derivation of series and parallel relationships for capacitors and conductors
  • Study the transport properties of materials in relation to electric fields
  • Learn about time-harmonic fields and their implications in electrical engineering
USEFUL FOR

Electrical engineers, physics students, and professionals involved in circuit design and analysis will benefit from this discussion, particularly those interested in the relationships between capacitance and conductance.

Mo7amed
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Hi all...
I want more information about the analogy between calculating the capacitance C and the conductance G ?
 
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I don't think that's an analogy. The formulas may appear somewhat similar simply because of how things are added in parallel or series, but that's just an algebraic thing.
 
TVP45 said:
I don't think that's an analogy. The formulas may appear somewhat similar simply because of how things are added in parallel or series, but that's just an algebraic thing.

There's a physical reason underlying the similarity of the equations, which is that they are related to transport properties. Whilst this similarity exists for all such properties, these two are particularly similar in that they both relate to the electric field via the constituent equations

[tex]D = \epsilon E[/tex]
[tex]J = \sigma E[/tex]

Following through to C & G, we get

[tex]C = \epsilon A / d[/tex]
[tex]G = \sigma A / d[/tex]

Using basic geometric arguments you can then derive series & parallel relationships.

If one assumes time-harmonic fields these become very closely related through the concept of complex permittivity.
 

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