A current i flows through a loop as shown in figure. The magnetic field at the Centre O is

Question

A current i flows through a loop as shown in figure. The magnetic field at the Centre O is, 7 μ o i 12 r acting downwards, 5 μ o i 12 r acting upwards, 7 μ 0 i 12 r acting upwards, 5 μ 0 i 12 r acting downwards

MARKS App · Accepted Answer

The angle, subtended by arc D E at O is π 2 and F C at O = 3 π 2 the effective magnetic field at O is B = B D E + B F C = μ 0 i 4 π 3 r × π 2 + μ 0 i 4 π r × 3 π 2 = μ o i 8 r 1 3 + 3 = 5 μ o i 12 r acting downwards

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