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A wire of length 1 m and radius 0.1 mn h...

A wire of length 1 m and radius 0.1 mn has a resistance of `100Omega`. Find the resistivity of the material.

Text Solution

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`"Resistance R"=100Omega", Length"l=1m=1000mm", Radius"r=0.1mm`
`therefore"Area of cross section A"=pir^(2)=(22)/(7)xx0.1xx0.1=(22)/(7)xx0.01=0.0314(mm)^(2)`
`therefore" Resistivity "rho=(RA)/(l)=(cancel(100)xx0.0314)/(10cancel(00))=0.00314Omega.`
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