In the circuit,the galvanometer $G$ shows zero deflection. If the internal resistance of batteries $A$ and $B$ is negligible,then the value of resistance $R$ is ....... $\Omega$.

The figure shows a network of four resistances and three batteries. Choose the correct alternative.

In the adjoining circuit,the battery $E_1$ has an $e.m.f.$ of $12 \, V$ and zero internal resistance,while the battery $E$ has an $e.m.f.$ of $2 \, V$. If the galvanometer $G$ reads zero,then the value of the resistance $X$ in $\Omega$ is

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

In a typical Wheatstone network,the resistances in cyclic order are $A = 10 \,\Omega $,$B = 5 \,\Omega $,$C = 4 \,\Omega $ and $D = 4 \,\Omega $. What should be done for the bridge to be balanced?

The figure shows a network of currents. The magnitude of currents is shown in the figure. The current $I$ will be ........... $A$.