Calculate the resistance per meter

In summary, the formula for calculating resistance per meter is R = ρ * (L/A), where R is the resistance, ρ (rho) is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area of the conductor. The resistivity of a material can be found in a table or by using a multimeter and it can vary depending on the type of material. This formula can be used for any type of material as long as the resistivity is known. The length of a conductor affects resistance per meter, with longer lengths resulting in higher resistance. Resistance per meter is important in designing and building electrical circuits, determining appropriate materials and dimensions, and understanding the efficiency and safety of
  • #1
looi76
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Homework Statement



Calculate the resistance per meter at room temperature of a constant wire if diameter [tex]1.25mm[/tex]. The resistivity of constant a at room temperature is [tex]5x10^-7\Omega{m}[/tex]

Homework Equations



I'm not sure, but I think this is the right formula:
[tex]R = \frac{Pl}{A}[/tex]

The Attempt at a Solution



[tex]Area = \pi \times \left(\frac{1.25 \times 10^{-3}}{2}\right)^2[/tex]
[tex]A = 1.2 \times 10^{-6} m^2[/tex]

What is Pl?
 
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  • #2
P is the resistivity and L is the length of the wire, so you are really solving for R/L
 
  • #3


Pl stands for the length of the wire. To calculate the resistance per meter, we need to divide the total resistance of the wire by its length. So, we need to know the length of the wire in meters. Once we have that information, we can use the formula R = Pl/A to calculate the resistance per meter.
 

FAQ: Calculate the resistance per meter

1. What is the formula for calculating resistance per meter?

The formula for calculating resistance per meter is R = ρ * (L/A), where R is the resistance, ρ (rho) is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area of the conductor.

How do I determine the resistivity of a material?

The resistivity of a material can be found in a table or by using a multimeter. It is measured in ohm-meters (Ω*m) and can vary depending on the type of material. For example, copper has a lower resistivity than rubber.

Can I use this formula for any type of material?

Yes, the formula for calculating resistance per meter can be used for any type of material as long as you know the resistivity (ρ) of that material.

How does the length of a conductor affect resistance per meter?

The longer the length of the conductor, the higher the resistance per meter. This is because there is more material for the current to pass through, resulting in a greater opposition to the flow of electricity.

How can I use resistance per meter in practical applications?

Resistance per meter is a useful concept in designing and building electrical circuits. It can help determine the appropriate materials and dimensions needed for a specific application, as well as calculating the total resistance of a circuit. It is also important in understanding the efficiency and safety of electrical systems.

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