A piece of wire of length 2.4 m has resistance of 10 Ω. What is the resistance of the wire of the
same material and of the same sectional area but of length 1.2 m?
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Resistivity is a function of the material. The resistance is a function of the length, cross-section and resistivity of the material. So, two wires of the same material will have the same resistivity but not necessarily the same resistance. Note that two wires of the same material but different geometries could have the same resistance is their geometries coincided correctly. For example, if wire A was twice as long as wire B but A’s cross-sectional area was twice that of B, the resistances would be the same.
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