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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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a
μ0i8πR3
b
μ0i4πR3
c
3μ0i4πR
d
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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