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Q.

Which of the following best represents the variation of magnetic induction (B) with distance (r) from a long straight current-carrying wire?

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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 D.

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Detailed Solution

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Representation of the variation of magnetic induction (B) with distance (r) from a long straight current-carrying wire is

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Magnetic field due to a straight current-carrying conductor: Biot-Savart Law

Magnetic field (B) at a radial distance (r), due to a wire-carrying current is given by:

B=μI2πr Where μ is the permeability of free space 4π×10-7Tm/A, and (I) is the current intensity. 

Magnetic field intensity, B=μI2πr

B×1rThus, the magnetic field is inversely proportional to the distance from the current-carrying wire. which shows the relation of y= 1/x graph 

So we can observe in this graph 

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