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Resistance and Resistivity

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Question

What happens to the resistance as the conductor is made thinner

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Solution

Dear student ,

The resistance of a wire can be represented by the following equation:

$R = \frac{ρ l}{A}$

So, when the conductor is made thinner, its area of cross-section will decrease, since resistance is inversely proportional to the area of the conductor. Therefore, its resistance will increase.

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