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An infinitely long hollow conducting cyl...

An infinitely long hollow conducting cylinder with inner radius `(R )/(2)` and outer radius `R` carries a uniform current ra density along its length . The magnitude of the magnetic field , ` | vec(B)|` as a function of the radial distance `r` from the axis is best represented by

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

For ` r gt ( R )/(2) , B = 0 `
For `( R )/(2) le rlt R ,
` B = ( mu_(0))/(2) [ r - ( R ^( 2)) /( 2 r )] J`
For ` rgt R ` , ` B = (mu_(0)i)/(2 pi r)`

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