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Q.

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.

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a

μ0i8πR3

b

μ0i4πR3

c

3 μ0i4πR

d

none of these

answer is B.

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Detailed Solution

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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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.