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A long, cylindrical wire of radius b car...

A long, cylindrical wire of radius b carries a current i distributed uniformly over its cross section. Find the magnitude of the magnetic field at a point inside the wire at a distance a from the axis.

A

`a=(R+r)/(2)`

B

`a=sqrt(Rr)`

C

`a=Rr//R+r`

D

`a=R^(2)//r`

Text Solution

Verified by Experts

Applying Ampere's circuital law,
`B 2pir=(mu_(0)I pi r^(2))/(pia^(2))` for `r lt a`
and `B 2piR=mu_(0)I` for `R gt a`
Taking the ratio
`(r )/(R )=(r^(2))/(a^(2))`
`:. a=sqrt(Rr)`
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