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Q: As shown in Fig. an equilateral triangle has resistance of outermost sides as R each. Further there exists infinite no. of Equilateral triangles in it . Each arm of the triangle inside the outermost triangle has resistance R/2, and it continues to all inner triangles as..R/4,R/8..so on.Find the Equivalent resistance between Point A and B.
Hi
Let equivalent resistance be x
Circuit is as shown
Req = 2R(R+x)/(4R+3x) ----------------------(1)
but we assumed Req = x ----------------------(2)
So from 1 and 2
x = R(71/2 - 1)/3
This is the only way to solve these type of questions
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