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Two identical wires \( A \) and \( B \), each of length ' \( l \) ', carry the same current \( I \). Wire \( A \) is bent into a circle of
\( \mathrm{P} \) radius \( R \) and wire \( B \) is bent to form a square of side ' \( a \) '. If \( B_{A} \) and \( B_{B} \) are the values of magnetic field at W the centres of the circle and square respectively, then the ratio \( \frac{B_{A}}{B_{B}} \) is
(a) \( \frac{\pi^{2}}{8} \)
(b) \( \frac{\pi^{2}}{16 \sqrt{2}} \)
(c) \( \frac{\pi^{2}}{16} \)
(d) \( \frac{\pi^{2}}{8 \sqrt{2}} \)
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