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

(c ) As `I` is independent of `R_(6)` no current flows through `R_(6)` this requires that the junction of `R_(1)` and `R_(2)` is at the same potential as the junction of `R_(3)` and `R_(4)`. This must satisfy the condition `(R_(1))/(R_(2)) = (R_(3))/(R_(4))`, as in the Wheatstone brigde