An electricity and magnetism problem by Gajender Singh

Electricity and Magnetism Level 3

The equivalent resistance b/w
i) A and C= p
ii)B and D = q
Find p+q
All the resistance is equal to 1


The answer is 1.33.

Gajender Singh by Gajender Singh , 21, India

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2 solutions

Since from any corner , circuit is symmetric. Hence i/3 current flows in each branch. Apply Kirchhoff law in triangle ABC. we get 2i/3=i*R where R is net resistance b/w A and C. Again, Circuit is symmetric hence resistance b/w b and d is equal to resistance between a and c. Hence, net resistance is 4/3

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Gajender Singh
Oct 21, 2014

This figure is a symmetry. The Symmetry can be seen b/w A and C. So overlap ACD over ABC. So every resistance get connected in parallel. Now Wheat stone bridge is formed. SO , r and 2r comes in parallel It becomes 0.66. And same is b/w B and D So it becomes 4/3R which is equal to 1.33 as R=1 ohm

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