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)`

Answer

C

Explanation

Current `I` can be independent of `R_(6)` only whhen `R_(1),R_(2),R_(3),R_(4)` ad `R_(6)` from a balanced wheatstone bridge
Therefore `(R_(1))/(R_(2))=(R_(3))/(R_(4))`