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The resistance of a wire of length 10 m ...

The resistance of a wire of length 10 m is 2 ohm. If the area of cross section of the wire is `2xx10^(-7)m^(2)`, determine its (i) resistivity (ii) conductance and (iii) conductivity

Text Solution

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Given : Length, `L=10`m, Resistance, `R=2`
ohm and Area, `A=2xx10^(-7)m^(2)`
Resistivity `rho=(RA)/(L)=(2xx2xx10^(-7))/(10)`
`=4xx10^(-8)Omegam`
Conductance, `G=(1)/(R )=(1)/(2)=0.5` mho
Conductivity, `sigma=(1)/(rho)=(1)/(4xx10^(-8))`
`=0.25xx10^(-8)"mho m"^(-1)`
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