In the given network of resistance, if all the resistances have value equal to $R$. Find the equivalent resistance across points $A$ and $B$.

Find the current in each resistor in the circuit as shown in figure.

The given Wheatstone bridge shows no deflection in the galvanometer joined between the points $B$ and $D$ in the figure. Calculate the value of $R$.

In the circuit (figure), the cells $E_1$ and $E_2$ have emfs $4 \mathrm{V}$ and $8 \mathrm{V}$ and internal resistances as $0.5 \mathrm{\Omega }$ and $1.0 \mathrm{\Omega }$, respectively. Calculate the current through $6 \mathrm{\Omega }$ resistance.

Determine the currents $I_1\text{,} I_2$ and $I_3$ for the network shown below (figure).

(a) $I_1=$_______

(b) $I_2=$_______

(c) $I_3=$_______

In the following circuit, the potential difference between $P$ and $Q$ is,

Consider the circuit shown in the figure. The current through the $6 \mathrm{\Omega }$ resistor is $4 \mathrm{A}$ in the direction shown. What are the currents through the $25 \mathrm{\Omega }$ and $20 \mathrm{\Omega }$ resistors?

In the circuit shown in figure, the voltage across the $2 \mathrm{\Omega }$ resistor is $12 \mathrm{V}$. What is the emf of the battery and the current through the $6 \mathrm{\Omega }$ resistors?

In the network of three cells, find the potential $V$ of their junction.