Calculating the capacitance of a metal strip?

In summary, the conversation is about calculating the capacitance of a long, thin metal strip with a fixed potential applied to it. The person is wondering where the electric field is stored and where the terminals are connected. It is mentioned that the metal strip can also act as a capacitor and the charge on it is proportional to the potential. The person is seeking to calculate the capacitance in order to determine the potential outside the metal strip. A resource is provided for further information on the topic.
  • #1
eraserxp
10
0
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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  • #2
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?
 
  • #3
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.
 
  • #4
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"
 
Last edited by a moderator:

What is capacitance?

Capacitance is a measure of an object's ability to store an electrical charge. It is measured in farads (F).

What is a metal strip?

A metal strip is a thin, flat piece of metal that is often used in electronic circuits due to its conductive properties.

How is capacitance of a metal strip calculated?

The capacitance of a metal strip is calculated by dividing the strip's permittivity (a measure of its ability to store an electrical charge) by its length and width. The formula is C = εA/d, where C is capacitance, ε is permittivity, A is the area of the strip, and d is the distance between the two sides of the strip.

What factors affect the capacitance of a metal strip?

The capacitance of a metal strip is affected by the type of metal used, the size and shape of the strip, and the distance between the two sides of the strip. Additionally, the presence of any nearby conductive materials can also impact the capacitance.

Why is capacitance of a metal strip important?

Capacitance of a metal strip is important in electronic circuits as it determines the amount of charge that can be stored on the strip. This can impact the performance and functionality of electronic devices.

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