In the circuit shown in Fig, determine the current in the resistance $CD$ and equivalent resistance between the points $A$ and $B$. The internal resistance of cell is negligible.

 

In Fig, $ABCDA$ is a uniform circular wire of resistance $2 \mathrm{\Omega }$. $AOC$ and $BOD$ are two wires along two perpendicular diameters of the circle, each having same resistance $1 \mathrm{\Omega }$. A battery of emf $\xi$ and internal resistance r is connected between the points $A$ and $D$. Calculate the equivalent resistance of the network.

In the circuit shown in Fig, find the currents $I$, $I_1$, $I_2$ and $I_3$. Given that emf of the battery
$=2 \mathrm{V}$, internal resistance of the battery $=2 \mathrm{\Omega }$ and resistance of the galvanometer $=4 \mathrm{\Omega }$.

Determine the current flowing through the galvanometer $G$ of the Wheatstone bridge shown in Fig.

Find the currents $I_1$, $I_2$ and $I_3$ through the three resistors of the circuit shown in Fig. 3.191.