# In the given circuit, the current through the battery is independent of $R_6$. Then which of these relation holds

$\begin {array} {1 1} (A)\;R_1 R_2 = R_3 R_4 & \quad (B)\;R_1 R_3 = R_2 R_4 \\ (C)\;R_1 R_4 = R_2 R_3 & \quad (D)\;R_1 R_2 R_3 R_4 = R_5 R_6 \end {array}$

The answer follows from the principle of wheatstone bridge.
The total current would be independent of $R_6$ if the condition of a balance
wheatstone bridge is satisfied.
Ans : (C)
edited Mar 14, 2014