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The resistance of a copper wire of lengt...

The resistance of a copper wire of length 5 m is `0.5 Omega.` If the diameter of the wire is `0.05 cm,` determine its specific resistance.

Text Solution

Verified by Experts

`rho = (RA)/(l )`
or ` R = (rho l )/(A)`
`A = pi r ^(2) = 3. 14 xx (2. 5 xx 10 ^(-4))^(2)`
` = 1. 96 25 xx 10 ^(-7) m ^(2)`
`rho = (0.5 xx 1. 9625 xx 10 ^(-7))/( 5)`
`rho = 1. 9625 xx 10 ^(-8) Omega -m`
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