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In the network shown, each resistance is...

In the network shown, each resistance is R. Calculate the equivalent resistance between A and B.

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Draw the lines the symmetry in the circuit.
Current distribution shall be symmetric about the lines of symmetry.
`:. `If a current x goes in AC, then a current x also goes in AD.

Similarly at exit, a current x comes from F, and same current from BG. This implies that the current y through AE goes to EB as it is .
Also, if a current ( say z) comes from CE, it goes to EF and from DE to EG.
`:. ` The junction at E is void. The circuit can be rearranged as

Thus, equivalent resistance between A and B is `R_(AB) = (4R)/(5)`
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