In the given circuit, it is observed that the current I is independent of the value of the resistance `R_6`. Then the resistance values must satisfy .A. `R_(1)R_(2)R_(5)=R_(3)R_(4)R_(6)`B. `(1)/(R_(5))+(1)/(R_(6))=(1)/(R_(1)+R_(2))+(1)/(R_(3)+R_(4))`C. `R_(1)R_(4)=R_(2)R_(3)`D. `R_(1)R_(3)=R_(2)R_(4)=R_(5)R_(6)`

In the given circuit, it is observed that the current I is independent

1.	In the given circuit, it is observed that the current I is independent of the value of the resistance `R_6`. Then the resistance values must satisfy .A. `R_(1)R_(2)R_(5)=R_(3)R_(4)R_(6)`B. `(1)/(R_(5))+(1)/(R_(6))=(1)/(R_(1)+R_(2))+(1)/(R_(3)+R_(4))`C. `R_(1)R_(4)=R_(2)R_(3)`D. `R_(1)R_(3)=R_(2)R_(4)=R_(5)R_(6)`
Answer» Correct Answer - C Since current i is independent of the value of `R_(6)`, it is clear that the circuit is of a balanced Wheatstone bridge. As per condition of balance, we have `(R_(1))/(R_(3))=(R_(2))/(R_(4))rArr R_(1)R_(4)=R_(2)R_(3)`

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