How will the resistance and resistivity change if a conductor is split into two parts?
Question
How will the resistance and resistivity change if a conductor is split into two parts?
Solution
When a conductor is split into two parts, the resistance and resistivity change in the following ways:
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Resistance: The resistance of a conductor is directly proportional to its length. If the conductor is split into two equal parts, the length of each part is halved. Therefore, the resistance of each part will also be halved. However, if the two parts are connected in parallel, the total resistance will decrease even further due to the parallel connection.
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Resistivity: The resistivity of a material is a property that depends on the material itself and not on its dimensions. Therefore, when the conductor is split into two parts, the resistivity remains the same. It does not change because it is an intrinsic property of the material of the conductor.
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