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A wire of radius R having a uniform cross-section carrying a steady current i. The variation of the magnetic field as function of distance r from the axis of wire is correctly represented by

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a

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b

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c

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d

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answer is B.

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Detailed Solution

$For r < R$

$B = \frac{μ_{0} Ir}{2 {πR}^{2}}$

$\Rightarrow B \propto r$

and for r > R

$B = \frac{μ_{0} I}{2 πr} \Rightarrow B \propto \frac{1}{r}$

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A wire of radius R having a uniform cross-section carrying a steady current i. The variation of the magnetic field as function of distance r from the axis of wire is correctly represented by