Calculate the current drawn from the battery in the given network, shown in Figure

 

A $10 m$ Long wire of uniform cross-section of $20 \Omega$ Resistance is fitted in a potentiometer. This wire is connected in series with a battery of 5 $volts$ Along with an external resistance of $480 \Omega .$ If an unknown emf $\in$  Is balanced at $6.0 m$ Length of this wire, calculate 

(i) the potential gradient of the potentiometer wire,

A $10 m$ Long wire of uniform cross-section of $20 \Omega$ Resistance is fitted in a potentiometer. This wire is connected in series with a battery of $5 volts$ Along with an external resistance of $480 \Omega .$ If an unknown emf $\in$ Is balanced at $6.0 m$ Length of this wire, calculate 

(ii) the value of the unknown emf $\in .$

Calculate the value of the resistance $R$ In the circuit shown in figure, So that the current is $0.2 A.$What would be the potential difference between $A$ and $D$?

Using Kirchhoff's rules in the given circuit Fig.$5.152$ determine 

(i) the voltage drop across the unknown resistance $R$ 

Using Kirchhoff's rules in the given circuit Fig.$5.152$ determine 

(ii) the current $I$ In the arm $EF.$

Using Kirchhoff's law calculate the currents $I_{1,}{I}_2$ and $I_3$ In the network shown in Fig. $5.153.$

Find the value of the unknown resistance $X$ in the circuit, Figure, if no current flows through the section $AO.$ Also calculate the current drawn by the circuit from the battery of emf $6V$and negligible internal resistance.