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Find the equivalent resistance between A...

Find the equivalent resistance between A and B

Strategy `:` Step- 1 `:` Convert the triangles of resistance between the points AC,CB,BD,DA
Step -2 `:` Simplify the circuit in the form of a bridge of four arms.
Step-3 `:` Check whether bridge is balanced or not.

Text Solution

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(1) Consider the triangle between the points A and C as shown.

(2) Triangle is equivalent to
(3) Similarly converting rest of triangles , the circuit changes as follows

(4) The bridge is balanced and is equal to (5)

(6) `:. R_(AB) = ((4R)/(3) xx (4R)/(3))/((4R)/(3)+ (4R)/(3))= (2R)/(3) Omega`
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