In the given circuit,the value of $i$ is ........... $A$.

In the circuit shown,$P \ne R$. The reading of the galvanometer is the same with switch $S$ open or closed. Then:

The Wheatstone bridge is in a balanced condition in the given figure, then $X = (in $Omega$)?$

Two ideal batteries of emf $V_1$ and $V_2$ and three resistances $R_1, R_2$ and $R_3$ are connected as shown in the figure. The current in resistance $R_2$ would be zero if:
$(A)$ $V_1=V_2$ and $R_1=R_2=R_3$
$(B)$ $V_1=V_2$ and $R_1=2R_2=R_3$
$(C)$ $V_1=2V_2$ and $2R_1=2R_2=R_3$
$(D)$ $2V_1=V_2$ and $2R_1=R_2=R_3$

For the circuit given below,the Kirchhoff's loop rule for the loop $BCDEB$ is given by the equation:

$A$ Wheatstone bridge is balanced. Find the ratio of electric power dissipated in $(P + Q)$ to $(R + S)$.