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Consider a wire of length 4m and cross-s...

Consider a wire of length 4m and cross-sectional areal `1 mm^(2)` carrying of 2A. If each cubic metre of the material contains `10^(29)`free electrons, find the average time taken by an electron to cross the length of the wire.

Text Solution

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`rArr v_(d) =i/(nAe) =2/(10^(29) xx 10^(-6) xx 1.6 xx 10^(-19) ms^(-1)`
`rArr 12.5 xx 10^(-4) ms^(-1)`
Average time taken by an electron to cross the length of the wire.
`t=l/v_(d) =4/(1.25 xx 10^(-4)) s =3.2 xx 10^(4) s`
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