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A wire of length 15 m and uniform a...

A wire of length 15 m and uniform area of cross section `6.0xx10^(-7)m^(2)` has resistance of `5.0Omega` . What is the resistivity of the maerial of a wire .

Text Solution

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Length (l) = 15 m
Area of cross -section of wire `=A=6.0xx10^(-7)m^(2)`
Resistance `=R=5.0Omega`
Resistivity of material of wire `=rho=` ?
`R=rho(L)/(A)`
`rho=(RA)/(L)`
`rho=(5.0xx6.0xx10^(-7))/(15)rArr(overset(1)cancel50xxoverset(2)cancel60xx10^(-7))/(""_(1)^(cancel(3)^(cancel(15)xx cancel(10)xx cancel(10))))`
`rho=2xx10^(-7)Omegam`
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