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https://texercises.com/exercise/thin-and-thick-wire/
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Exercise:
Two cylindrical copper wires have the same length but different diameters. The resistance of the thin wire is RincO higher than that of the thicker one. What is the percentage difference of the wire's diameters?

Solution:
The resistance of a wire is given by R sscrhoelfracLA sscrhoelfracLd^pi The ratio of the thin wire's resistance to that of the thicker one is therefore fracsscRthinsscRthick leftfracsscdthicksscdthinright^ Solving this for the ratio of the diameters leads to fracsscdthinsscdthick dfactF sqrtfracRfact &approx resultdfactP The thin wire's diameter is ddiffabsP smaller than the thicker one's.
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Exercise:
Two cylindrical copper wires have the same length but different diameters. The resistance of the thin wire is RincO higher than that of the thicker one. What is the percentage difference of the wire's diameters?

Solution:
The resistance of a wire is given by R sscrhoelfracLA sscrhoelfracLd^pi The ratio of the thin wire's resistance to that of the thicker one is therefore fracsscRthinsscRthick leftfracsscdthicksscdthinright^ Solving this for the ratio of the diameters leads to fracsscdthinsscdthick dfactF sqrtfracRfact &approx resultdfactP The thin wire's diameter is ddiffabsP smaller than the thicker one's.
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Direct Current
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resistance
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Difficulty
(2, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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