In the given circuit,the current through $AB$ is zero. What will be the value of the unknown resistance $X$ in $\Omega$?

Find the current flowing through the resistance $R_1$ of the circuit shown in the figure,if the resistances are equal to $R_1=10 \Omega, R_2=20 \Omega$,and $R_3=30 \Omega$,and the potentials of points $1, 2$,and $3$ are equal to $\phi_1=10 \text{ V}, \phi_2=6 \text{ V}$,and $\phi_3=5 \text{ V}$. (in $\text{ A}$)

In the circuit diagram shown below,the magnitude and direction of the flow of current respectively would be

The current through the $1 \Omega$ resistance in the following circuit is (in $A$)

Five resistors,each of resistance $R$,are arranged as shown in the figure. $A$ battery of voltage $V$ is connected between points $A$ and $B$. Find the current flowing through the branch $AFCEB$.

In the given figure,all the batteries are ideal. Find the value of $i$ (in amperes).