Calculating the capacitance of a metal strip?

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Discussion Overview

The discussion revolves around calculating the capacitance of a metal strip with specific dimensions and properties. Participants explore the theoretical aspects of capacitance in relation to the geometry of the strip and its electric potential, touching on concepts relevant to electrostatics and capacitor behavior.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant asks how to calculate the capacitance of a metal strip of width 2a and infinitesimal thickness, emphasizing that the length is much larger than the width.
  • Another participant questions the context of the capacitance calculation, specifically where the electric field is stored and how the terminals are connected.
  • A different participant clarifies their inquiry by stating that they want to calculate the potential around the metal strip after applying a fixed potential, linking it to the surface charge and its proportionality to potential.
  • The original question about calculating capacitance is reiterated, with a reference to an external resource that may provide additional insights.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the specifics of the capacitance calculation or the configuration of the electric field. Multiple viewpoints and questions remain unresolved.

Contextual Notes

The discussion lacks clarity on the assumptions regarding the electric field configuration and the specific definitions of capacitance in this context. There are also unresolved aspects related to the mathematical treatment of the problem.

eraserxp
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Does anyone know how to calculate the capacitance of a metal strip of width 2a and infinitesimal thickness? The length of the metal strip is much larger than its width.

Thanks a lot!
 
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Capacitance like in a capacitor? Well, first i wonder where you store your electric field? Between the strip and xxx? Where are the terminals connected?
 
Maybe my question is a little confusing.

Suppose we have a long metal strip which is very thin and we apply a fixed potential on it. How to calculate the potential around the metal strip?

In order to calculate the potential, we must know the surface charge on the metal. From textbook, we know a single metal can also be served as a capacitor and the charge on it is proportional to the potential. I want to know its capacitance, so that I can calculate the potential outside the metal.
 
eraserxp said:
Does anyone know how to calculate the capacitance of a metal strip of width 2a and infinitesimal thickness? The length of the metal strip is much larger than its width.

Thanks a lot!
Take a look at this:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/pplate.html"
 
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