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A copper wire of 10 ^(-6) m ^(2) area of...

A copper wire of `10 ^(-6) m ^(2)` area of cross section, carries a current of 2A. If the number of electrons per cubic meter is `8 xx 10 ^(28),` calculate the current density and average drift velocity.
Given,` e 1. 6 xx 10 ^(-19) C)`

Text Solution

Verified by Experts

Current density, `J = I/A = (2)/( 10 ^(-6)) = 2 xx 10 ^(6) A //m ^(2)`
`J = n e V _(d)`
`or V _(d) = (J )/( n e) = ( 2 xx 10^(6))/( 8 xx 10 ^(28) xx 1. 6 xx 10 ^(-19))`
`= 15.6 xx 10 ^(-5) ms ^(-1)`
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