A current carrying wire is placed B in the grooves of an insulating semicircular disc of radius ‘R’, as shown in figure. The current enters at point A and leaves from point B. Determine the magnetic field at point D.

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μ0i8πR3

μ0i4πR3

3μ0i4πR

none of these

answer is B.

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Detailed Solution

r1=2Rsin30°=R,r2=2Rsin60°=R3BD=BAC+BCB=μ04πir1sinϕ1⊙+μ04πir2sinϕ2⊗ =μ04πisin60°r1-sin30°r2⊙=μ0i4πR3

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