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One copper wire having resistivity 1.7 x...

One copper wire having resistivity 1.7 `xx 10^(-8) Omega,` density `8.9 xx 10^(3) kgm^(-3)`, atomic weight 63.5 g `mol^(-1)` , length 0.2 m and cross-sectional area ` 10^(-6) m^(2)`carries 2 A electric current. Find (i) potential difference across the wire. (ii) drift velocity of free electron . (Avogadro number = ` 6.02 xx 10^(23) " mol"^(-1)` and valency of copper = 1 )

Text Solution

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`160 = ^^_(m)^(oo) - b xx sqrt(25)` ..(1)
`150 = ^^_(m)^(oo) - b xx sqrt(1)` ...(2)
`b = 20` and `^^_(m)^(oo) = 170`
`y = 170 - 20x`
Intercept `= 170`
`^^_(m)^(oo) = 170 Omega^(-1) cm^(2) mol^(-1)`
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