Manipal MET2010PhysicsMagnetic Effects of Current

In the figure shown, the magnetic field induction at the point O will be

Options

A₀ i 2 r
B( ₀ 4 ) ( i r )( +2)
C( ₀ 4 ) ( i r )( +1)
D₀ 4 i r ( -2)

Correct answer

B. ( ₀ 4 ) ( i r )( +2)

Step-by-step solution

Field due to a straight wire of infinite length is ₀ i 4 r if the point is on a line perpendicular to its length while at the centre of a semicircular coil is ₀ i 4 r . aligned B & =B_a+B_b+B_c & = ₀ 4 i r + ₀ 4 i r + ₀ 4 i r & = ₀ 4 i r ( +2) out of the page aligned

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