Calculating Resistivity: Finding the Area of a Wire

In summary, resistivity of a wire is a measure of the resistance it offers to the flow of electric current and is dependent on the type of material, cross-sectional area, and length of the wire. It can be calculated by dividing the resistance of the wire by its cross-sectional area and length, using the formula ρ = R x A / L. The unit of resistivity is ohm-meter (Ωm) in the SI system, though ohm-centimeter (Ωcm) may also be used. Temperature has a significant effect on the resistivity of a wire, as an increase in temperature leads to an increase in resistivity. Other factors that affect resistivity include the type of material, cross-sectional area, and
  • #1
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Homework Statement


A wire has a diameter of 1.51 mm and a length of 32.7 m, and is found to have a resistance of 1.5 capital omega. What is the resistivity of the wire?



Homework Equations





The Attempt at a Solution


R=qL/A
R=.0051/2=7.55E-4
L=32.7
A = ?
How do i find A to plug into the equation to find q?
 
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  • #2
In the formula R = resistance of the wire, A, the area of the cross section of the wire = π*r^2, where r is the radius of the wire = diameter/2.
 

What is resistivity of a wire?

Resistivity of a wire is a measure of the resistance a wire offers to the flow of electric current. It is a material property and is dependent on the type of material, cross-sectional area, and length of the wire.

How is resistivity of a wire calculated?

Resistivity of a wire is calculated by dividing the resistance of the wire by its cross-sectional area and length. The formula for resistivity is ρ = R x A / L, where ρ is the resistivity, R is the resistance, A is the cross-sectional area and L is the length of the wire.

What is the unit of resistivity?

The unit of resistivity is ohm-meter (Ωm) in the SI (International System of Units). In some cases, the unit of ohm-centimeter (Ωcm) is also used for resistivity.

How does temperature affect the resistivity of a wire?

Temperature has a significant effect on the resistivity of a wire. As the temperature increases, the resistivity of the wire also increases. This is because the increase in temperature causes the atoms of the wire to vibrate more, leading to more collisions with the electrons, which increases the resistance and hence the resistivity.

What factors affect the resistivity of a wire?

The resistivity of a wire depends on various factors such as the type of material, temperature, cross-sectional area, and length of the wire. The type of material and temperature have the most significant impact on resistivity, while the cross-sectional area and length also play a role in determining the resistivity of a wire.

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