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A current of 5 A of passes through a cop...

A current of 5 A of passes through a copper conductor (resistivity =`1.7xx10^(-8)Omegam)` of radius of cross-section 5 mm.Find the mobility of the charges if their drift velocity is `1.1xx10^(-3)m//s`

A

`1.0 m^2//vs`

B

`1.2 m^2//vs`

C

`1.5 m^2//vs`

D

`1.8 m^2//vs`

Text Solution

Verified by Experts

J= Current density `=E/p` (E= electric field, p=resistive)
`implies E=p.I/A` (I=current) `because` drift velocity `=v_d=mu E`
`implies mu=m obility =V_d/E=(V_dA)/(pI)=(1.1 times 10^-3 times pi times 25 times 10^-6)/(1.7 times 10^-8 times 5) approx 10.15 times 10^-1=1.015m^2//vs`
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