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Q.

A current I flowing through the loop as shown in figure. The magnetic field at centre O is :

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a

7μ0I16R⊗

b

7μ0I16R⊙

c

5μ0I16R⊗

d

5μ0I16R⊙

answer is A.

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Detailed Solution

The effective magnetic field at OB=BPE+BRS=μ04π·32πIR+μ04π·π2.I2R⇒B=μ0I4R32+14=716μ0IRAs per Fleming's Right Hand rule, direction of magnetic filed is perpendicular and in the plane of paper.
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A current I flowing through the loop as shown in figure. The magnetic field at centre O is :