Wire resistance is the opposition of a material to the flow of electric current through it. It is determined by factors such as the length and cross-sectional area of the wire, as well as the type of material it is made of. Longer wires typically have higher resistance than shorter wires, while wires with smaller cross-sectional areas also have higher resistance. Additionally, different materials have different resistivities, which affects their resistance. Calculating wire resistance is important in electrical engineering and can be used in designing circuits and determining the power that can be delivered to a load.

The formula for determining the electric resistance using Ohm's law is defined as:

\(R =\rho\) \(\cdot\) \(\dfrac{L}{A}\)

\(R\): the resistance

\(\rho\): the resistivity

\(L\): the length of the wire

\(A\): the cross sectional area of the wire

The SI unit of electric resistance is: \(ohm\text{ }(\Omega)\)

## Find R

Use this calculator to find the resistance of a piece of wire when the wire resistivity, the length and the cross sectional area of the wire are given.

the resistivity

\(\rho\)

\(ohm \cdot meter\)

the length of the wire

\(L\)

\(meter\)

the cross sectional area of the wire

\(A\)

\(meter^2\)

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