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How much time will be taken by an electr...

How much time will be taken by an electron to move distance I = 1km in a copper wire of cross section `A = 1mm^2` if it carries a current I = 4.5A?`

Text Solution

Verified by Experts

Time taken by electron to travel in copper wire is
`t = (i)/(v_d)`
where `v_d = (J)/("ne")`
or `t = (I)/(J//"ne") whre J = i//A`
Hence,
`t = ("ne"AI)/(i)`
`=(10^(28)xx1.6xx10^(-19)xx10^3xx10^(-6))/(4.5) = 3xx10^6s`
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