How to calculate resistance value from resistivity?
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To calculate the resistance R of a wire, we need to know three things:
its length – the longer the wire, the greater its resistance
its cross-sectional area A – the greater the area, the less its resistance
the resistivity of the material r – the greater the resistivity, the greater its resistance.
resistance = resistivity × length / area
This equation defines resistivity. We can rearrange it to get a formula for resistivity:
resistivity = resistance × area / length
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