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Question

A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire is :

A
4 x 106 T, vertical up
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B
5 x 106T, vertical down
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C
5 x 106T, vertical up
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D
4 x 106 T, vertical down
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Solution

The correct option is C 5 x 106T, vertical up
From Ampere circuital law
ϕ¯B.¯dl = μ0Ienc
B x 2πR = μ0Ienc
B = μ0Ienc2πR = 2 x 107 x 753 = 5 x 106 T
The direction of the field at the given point will be vertical up determined by the screw rule or right-hand rule.

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