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Q.

A straight conductor carrying current i splits into two parts as shown in the figure. The radius of the circular loop is R. The total magnetic field at the centre P at the loop is :

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a

3μ0i/32R, outword

b

3μ0i/32R, inward

c

Zero

d

μ0i2R, inward

answer is A.

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Detailed Solution

i1i2=142πR34(2πR)

i2=3i1

Net magnetic field, =μ0i12Rθ12π-μ0i22Rθ22π

=μ0i12R3π2×2π-μ0i22Rπ2×2π

=μ02R3i14-i24

=μ02R3i14-3i14=0

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