Single correct option
A long wire carrying is bent into a hairpin: two long straight parallel segments, apart, are joined at their ends by a semicircular arc of radius , so the current enters along one straight segment, goes round the arc and leaves along the other. Each straight segment extends to infinity and ends at the arc along a line through the centre of the arc. The magnetic field at the centre of the arc is nearly ()
- A.
- B.
- C.
- D.
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Answer: (C)
At the centre of the arc all three parts give fields in the same direction. The semicircle gives . Each semi-infinite straight wire, whose end is level with the centre, gives . Therefore . Dropping the straight segments gives only the arc value , and counting them as infinite wires would give an incorrect per wire.
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