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Q.

A long thin hollow metallic cylinder of radius R has a current i ampere. The magnetic induction B away from the axis at a distance ‘r from the axis varies as shown in

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a

(ii)        

b

(i)

c

(iv)        

d

(iii)        

answer is A.

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Detailed Solution

From Ampere's Circuital Law

B.dl=μ0Ienclosed

There is no current enclosed until x = r from x = 0.

For x > r, 

B.dl=μ0Ienclosed

B.2πr=μ0Ienclosed

B=μ0Ienclosed2πr

this is best represented by 

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