A wire is cut into three equal parts and then connected in parallel with the same source .How will it's resistance and resistivity get affected

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Solution

Resistivity depends on the material (e.g if its copper). So this doesn't change.

If the inital resistance is R, each piece has resistance R/3.

Connect 3 equal resistors in parallel and the total resistance is 1/3 of each separate resistor.

So we end up with a total resistance of 1/3 of R/3 = R/9.

So the resistance is 1/9 of the original wire's resistance. Hope this helps!!

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A wire is cut into three equal parts and then connected in parallel with the same source.

(a) How will its Resistance and Resistivity get affected?

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