In the electric network shown in Fig, use Kirchhoff’s rules to calculate the power consumed by the resistance $R=4 \mathrm{\Omega }$.

 

A network of resistors is connected to a battery of negligible internal resistance, as shown in Fig. Calculate the equivalent resistance between the points $A$ and $D$, and the value of the current $I_3$.

Using Kirchhoff’s rules, determine the value of unknown resistance $R$ in the circuit shown in Fig. so that no current flows through $4 \mathrm{\Omega }$ resistance. Also, find the potential difference between $A$ and $D$.

Find the current flowing through each cell in the circuit shown in Fig. Also calculate the potential difference across the terminals of each cell.

In the network shown in Fig, calculate the current of the $6 \mathrm{V}$ battery.

In the network shown in Fig, determine the potential difference between the points $A$ and $B$.

Calculate the potential difference between the junctions $B$ and $D$ in the Wheatstone’s bridge shown in Fig.