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Questions  

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

a
μ0i8πR3
b
μ0i4πR3
c
3 μ0i4πR
d
none of these

detailed solution

Correct option is B

r1 = 2R  sin  300  =R,  r2 = 2R  sin  600=R BD =BAC +  BCB= μ04π  ir1  sin ϕ1 ⊙  + μ04π  ir2  sin ϕ2 ⊗= μ04π i sin600r1 −sin300r2 ⊙  = μ04πR 3 ⊙

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