In the circuit shown below,$E_1 = 4.0 \,V, R_1 = 2 \,\Omega, E_2 = 6.0 \,V, R_2 = 4 \,\Omega$ and $R_3 = 2 \,\Omega$. The current $I_1$ is ..................... $A$.

As the switch $S$ is closed in the circuit shown in the figure,the current passed through it is .................. $A$.

Consider the following two statements.
$(A)$ Kirchhoff's junction law follows from the conservation of charge.
$(B)$ Kirchhoff's loop law follows from the conservation of energy.
Which of the following is correct?

To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor,an electrical arrangement shown in the figure is prepared. The arm $BC$ is made up of the semiconductor. The experiment is being conducted at $25^{\circ} C$ and the resistance of the semiconductor arm $BC$ is $3 \ m\Omega$. Arm $BC$ is cooled at a constant rate of $2^{\circ} C / s$. If the galvanometer $G$ shows no deflection after $10 \ s$,then $\alpha$ is:

In the given circuit, the values of currents $I_1$, $I_2$ and $I_3$ respectively are:

See the electrical circuit shown in the adjoining figure. Which of the following equations is a correct equation for it?