Capacitor Questions: Solutions & Explanations

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Homework Help Overview

The discussion revolves around calculating the equivalent capacitance of a capacitor with a wedge-shaped dielectric, involving two different dielectric materials. Participants are exploring the implications of the dielectric properties on the capacitance calculation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the setup of the problem, questioning whether the dielectric is indeed wedge-shaped and how to approach calculating the equivalent permittivity. There are discussions about the configuration of the dielectric regions and the need for integration to evaluate the capacitance.

Discussion Status

The discussion is active with various interpretations being explored regarding the dielectric configuration. Some participants have suggested potential equations and approaches, but there is no explicit consensus on the method to be used.

Contextual Notes

There is mention of the need to consider two regions of dielectric material, one with a dielectric constant K and the other with the vacuum permittivity εo. The exact dimensions and arrangement of these regions are not fully defined, which may impact the calculations.

MeSS2342
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MeSS2342 said:

Homework Statement



€o k l d

Homework Equations



Ceq=(€ol^2/2)


What are you trying to do?

A wedge shaped dielectric?

Are you trying to calculate the equivalent ε ?

If so what would be your approach?
 
I'm trying to find C equal
capacitance

trying to find C equal 's equation by there will be K
 
So your dielectric has 2 regions? Divided diagonally? One with Kεo, the other with just εo?

Well ...

1/Ceq = 1/Co + 1/ Ck

Looks like you will need to set up an integral and evaluate based on the changing distance of each dielectric region.
 

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