Two identical wires \( A \) and \( B \), each of length \( L \), ca...

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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 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 the centres of the circle and square respectively, then the ratio \( \frac{B_{A}}{B_{B}} \) is
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