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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·d over this loop with radius ‘r” of loop will be best represented by

a
b
c
d

detailed solution

Correct option is B

Current within radius rR,∮B→·dℓ→=μ0Iin=μ0I→ Constant

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Figure shows an Amperian path ABCDA. Part ABC is in vertical plane PSTU while part CDA is in horizontal plane POQRS. Direction of circulation along the path is shown by an arrow near point B and at D.

B·d for this path according to Ampere’s law will be


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