Five resistors of given values are connected together as shown in the figure. The current in the arm $BD$ will be

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 $\text{ A}$)

If the Wheatstone bridge with four resistors $R_1, R_2, R_3$ and $R_4$ is balanced,then the correct expression is

The effective resistance between points $A$ and $B$ is ............... $\Omega$.

In the figure shown,the current in the $10 \, V$ battery is close to

For the circuit shown below,write the equations for the three loops by using Kirchhoff's loop rule.