resistance is inversely proportional to square of diameter . prove it.
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Cross sectional area is the area of the end of the wire (assuming a perfectly flat right angle cut). So it's proportional to the square of diameter. Resistance is inversely proportional to cross sectional area. So if the diameter is halved the cross-sectional area is quartered and the resistance is quadrupled.
Answered by
8
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Explanation:
resistance is inversely proportional to area of conductor and area is directly proportional to square of diameter so resistance is inversely proportional to square of diameter.but in tricky questions if it is given that area is changed keeping volume constant then resistance is inversely proportional to r^4
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