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Q.

A uniform wire of resistance 9 Q is cut into 3 equal parts.  They are connected in the form of equilateral triangle ABC. A cell of e.m.f. 2 V and negligible internal resistance is connected across B and C. Potential difference across AB is

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a

1 V

b

2 V

c

3 V

d

0.5 V

answer is A.

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Detailed Solution

The circuit can be drawn as follows:Equivalent resistance, R  =  3 × 3 +33 + 3 +3 =  2   ΩCurrent, i=22  =1A.  So,  i1 =1 ×  33+6=13 A.Potential difference between A and B =13  ×  3=1V.
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