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Question

The equivalent resistance between points A and B in the network shown in figure is:


  1. 157 R
  2. 87 R 
  3. 127 R 
  4. 167 R 


Solution

The correct option is B 87 R 
From symmetry of current distribution, the junction becomes irrelevant, so the network can be modified as

From the above circuit,
RAB=(R+R||2R+R)||2R
RAB=(R+2R3+R)||2R
RAB=8R3||2R
RAB=87R

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