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A very long cylindrical conductor carries a current I. ‘p’ is point lying outside the conductor at a distance x from the surface of the conductor and magnetic induction at P is ‘B’. Then which of the following graphs correctly shows the variation of B with x?

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a

b

c

d

answer is C.

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Detailed Solution

B=μ0I2π(R+x) where R = Radius of conductor.At x=0, B=μ0I2πR and as x→∞,B→0

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A very long cylindrical conductor carries a current I. ‘p’ is point lying outside the conductor at a distance x from the surface of the conductor and magnetic induction at P is ‘B’. Then which of the following graphs correctly shows the variation of B with x?