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# In the circuit below, all the resistances are equal to R. Then, find the equivalent resistances Rac, between the points A and C, and Rbd, between the points B and D.

32 Points
one year ago
Given: a circuit with resistors, where all resistors have equal resistance i.e., R
To find the equivalent resistance between points A and C
Solution:
The given circuit can be re-written as fig(ii)(as shown above).
Now this circuit is symmetrical about the axis BD. Hence the equivalent circuit becomes as shown in fig(iii). Here resistor on arm ABC the reisitors are in series, similarly in the other arms too. So the circuit will be simplified to fig(iv).
Let the equivalent resistance between points A and C be Req
Req1=2R1+2R1+2R1=2R3
Therefore the equivalent resistance between points A and C is 32RΩ
André Campos
25 Points
one year ago