Q.

A cylindrical wire of radius R is carrying uniformly distributed current i over its cross-section. If a circular loop of radius r is taken as amperian loop, then the variation value of  ∮B→·dℓ→ over this loop with radius ‘r' of loop will be best represented by

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a

b

c

d

answer is B.

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Detailed Solution

Inside, ∫B.dl=μ0ir2a2 Outside, ∫B.dl=μ0i=constant
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A cylindrical wire of radius R is carrying uniformly distributed current i over its cross-section. If a circular loop of radius r is taken as amperian loop, then the variation value of  ∮B→·dℓ→ over this loop with radius ‘r' of loop will be best represented by