A long wire bent as shown in the figure carries current I = 10 A . If the radius of the semicircular portion is 1 m , the magnetic induction (in μT ) at the centre C is

Question

A long wire bent as shown in the figure carries current I = 10 A . If the radius of the semicircular portion is 1 m , the magnetic induction (in μT ) at the centre C is, π 2 + 4, π 2 + 4, π 2 - 4, π 2 - 4

MARKS App · Accepted Answer

B 1 (due to two semi-infinite straight wires) = μ 0 2 π I a k ^ = 2 k ^ μT B 2 (semi-circular loop) = μ 0 I 4 a - i ^ = - π i ^ μT B → = B 1 2 + B 2 2 B → = π 2 + 4 μT

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