When the value of $R$ in the balanced Wheatstone bridge, shown in the figure, is increased from $5 \Omega$ to $7 \Omega$, the value of $S$ has to be increased by $3 \Omega$ in order to maintain the balance. What is the initial value of $S$ (in $\Omega$)?

In the part of a circuit shown in the figure,the potential difference $(V_G - V_H)$ between points $G$ and $H$ will be ............... $V$.

In the given figure,the ratio of current in the $8\,\Omega$ resistor to the current in the $3\,\Omega$ resistor will be:

In the figure shown,the current in the $10 \, V$ battery is close to

Find the current flowing through the resistance $R_1$ of the circuit shown in the figure,if the resistances are equal to $R_1=10 \Omega, R_2=20 \Omega$,and $R_3=30 \Omega$,and the potentials of points $1, 2$,and $3$ are equal to $\phi_1=10 \text{ V}, \phi_2=6 \text{ V}$,and $\phi_3=5 \text{ V}$. (in $\text{ A}$)

For the given circuit,the reading of the ammeter in amperes is........