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There exist a time varying magnetic field \( B=\alpha t \) in a cylindrical region of radius \( a \) . An equilateral triangular loop of side \( l \) is placed inside the magnetic field as shown. Its sides \( A B, B C \) and \( C A \) have resistances \( R \) , \( 2 R \) and \( 3 R \) respectively. The potential difference across the side \( A B \) is
(a) \( \frac{l^{2} \alpha}{2} \)
(b) \( \frac{l^{2} \alpha}{2 \sqrt{3}} \)
(c) \( \frac{l^{2} \alpha}{8 \sqrt{3}} \)
(d) \( \frac{l^{2} \alpha}{4 \sqrt{3}} \)
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