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Question

The resistance of all the wires between any two adjacent dots is R. The equivalent resistance between A and B as shown in figure is

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A
73R
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B
76R
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C
148R
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D
none of these
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Solution

The correct option is B 76R
Here the equivalent resistance of each triangle is Req1=(R+R)R(R+R)+R=(2/3)R
Now reduce the side by connecting resistance in series as shown in figure.
Here, Req2=(2/3)R+(2/3)R=(4/3)R
Now the circuit is a balanced Wheatstone bridge. So middle resistor R is not working.
Thus, RAB=[(4/3)R+R][(4/3)R+R][(4/3)R+R]+[(4/3)R+R]=76R

265091_157822_ans.png

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