Consider 12 resistors arranged symmetrically in shape of bipyramid \( A B C D E F \). Here \( A ...

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Consider 12 resistors arranged symmetrically in shape of bipyramid \( A B C D E F \). Here \( A B C D \) is a square. Point \( E \), point \( F \), and center of square are in the same straight line perpendicular to the plane of square. The resistance of each resistor is \( R \).
The effective resistance between \( A \) and \( B \) is
(1) \( 7 R / 12 \)
(2) \( 5 R / 7 \)
(3) \( 5 R / 12 \)
(4) none of these
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