In the given circuit, it is observed tha...

In the given circuit, it is observed that the current l is independent of the value of the resistance `R_(6)`. Then, the resistance values must satisfy

`R_1R_2R_5=R_3R_4R_6`

`1/R_5+1/R_6=1/(R_1+R_2)+1/(R_3+R_4)`

`R_1R_4=R_2R_3`

`R_1R_3=R_2R_4=R_5R_6`

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Since current I is independent of `R_6` it follows that the resistance `R_1,R_2,R_3 and R_4` must form a balanced Wheatstone bridge.

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