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
.

Options

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

C

Explanation

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)`