A conductor is carrying a current i . The magnetic field intensity at the point O which is the common centre for three arcs is

Question

A conductor is carrying a current i . The magnetic field intensity at the point O which is the common centre for three arcs is, 5 µ 0 iθ 24 πR, µ 0 iθ 24 πR, 11 µ 0 iθ 24 πR, zero

MARKS App · Accepted Answer

Find B due to each arc at O and add them using vector addition. Since magnetic field at the centre of an arc is equal to B = µ 0 I 4 πr θ hence, net B = µ 0 i 4 π 1 R - 1 2 R + 1 3 R θ = 5 µ 0 iθ 24 πR

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