A wire of resistance 0.1 $Ω$ /cm is bent to form a square ABCD of side 10 cm. A similar wire is connected between corners B and D to form the diagonal BD. The effective resistance of this combination between corners A and C is ·

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8 $Ω$

2 $Ω$

4 $Ω$

1 $Ω$

answer is A.

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Detailed Solution

Resistance of each side of the square = 10 x 0.1 = 1 $Ω$ . As shown in Fig., the square forms a Wheatstone's bridge which satisfies the balancing condition. Thus, no current flows along the diagonal BD.

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