Calculating the capacitance of a metal strip?

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To calculate the capacitance of a long, thin metal strip with width 2a and infinitesimal thickness, one must consider the relationship between surface charge and potential. The capacitance can be derived from the geometry of the strip and the electric field it generates. The discussion emphasizes the need to understand where the electric field is stored and how terminals are connected. It highlights that a metal strip can function similarly to a capacitor, with charge proportional to potential. The user seeks guidance on determining the capacitance to facilitate potential calculations around the strip.
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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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