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A straight conductor of uniform cross-se...

A straight conductor of uniform cross-section carries a current `I`. Let `s=` specific charge of an electron. The momentum of all the free electrons per unit length of the conductor, due to their drift velocity only, is

A

`I s`

B

`sqrt(I//s)`

C

`I//s`

D

`(I//s)^2`

Text Solution

Verified by Experts

The correct Answer is:
C
`I = n A e v_d` or `v_d = (I)/( n Ae)`
Total number of free electrons in the unit length of conductor, `N = n A xx 1`.
Total linear momentum of all the free electrons per unit length `= ( N m ) v_d = n A m xx (I)/( n A e) =( I )/( ( e//m) ) = ( I )/( s)`
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