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Question

An infinitely long wire carries a current I (as shown in the figure). Find magnetic field at point P.

142963.png

A
μ0I2πa
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B
2μ0I4πa
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C
μ0I4πa
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D
μ0I42πa
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Solution

The correct option is C μ0I4πa
Magnetic field due to the segment AB at P is zero.
The segment BC is semi-infinite.
Magnetic field due to an infinite wire at a distance from the wire is B=μ0I2πr
Magnetic field due to the semi-infinite wire is half of that due to the infinite wire.
Hence, B=μ0I4πa since a is the perpendicular distance of point P from the wire BC
187204_142963_ans.png

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