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Question
What happens to the resistance, as the conductor is made thicker?
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Solution
The resistance of a conductor is inversely proportional to the area of cross-section of the conductors. Hence, resistance is inversely proportional to the square of the radius of the conductor.
R ∝ \(\frac{1}{A}\)
R ∝ \(\frac{1}{r^2}\)
When a conductor is made thicker, the radius will be increased and so its resistance will be decreased.
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