Kirchhoff's laws

The voltage and the current between $A$ and $B$ points shown in the circuit are ________.

Refer to the figure given below. The values of $I_1$, $I_2$ and $I_3$ are ________.

Refer to the figure given below, current between terminals $A$ and $B$ is ________ A.

Under steady state condition the potential difference across the capacitor in the circuit is ________ V.

Refer to the circuit diagram given below. The heat generated across the 6 Ω resistance in 100 second is $\dfrac\alpha{100}$ J. The value of $\alpha$ is ________. (Nearest integer)

The stored charge in the capacitor in steady state of the following circuit is ________ μC.

In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of 1 A flows through the $1\,\Omega$ resistor. The key is closed at time $t = t_0$. Which of the following statement(s) is(are) correct?

[Given: $e^{-1} = 0.36$]

The figure shows a circuit having eight resistances of $1\ \Omega$ each, labelled $R_1$ to $R_8$, and two ideal batteries with voltages $\mathcal E_1 = 12$ V and $\mathcal E_2 = 6$ V.

Which of the following statement(s) is(are) correct?

The total current supplied to the circuit as shown in figure by the 5 V battery is ______ A.

As per the given circuit, the value of current through the battery will be ______ A.

For the network shown below, the value of $V_B-V_A$ is ______ V.

In the given figure, the value of $V_o$ will be ______ V.

As show in the figure, in steady state, the charge stored in the capacitor is ______ $\times10^{-6}$ C.

The magnitude of $q_1$ is ____.

The magnitude of $q_2$ is ____.

In order to measure the internal resistance $r_1$ of a cell of emf $E$, a meter bridge of wire resistance $R_0 = 50\ \Omega$, a resistance $R_0/2$, another cell of emf $E/2$ (internal resistance $r$) and a galvanometer G are used in a circuit, as shown in the figure. If the null point is found at $l = 72$ cm, then the value of $r_1 =$ ____ $\Omega$.

A cell E$_1$ of emf 6 V and internal resistance 2 Ω is connected with another cell E$_2$ of emf 4 V and internal resistance 8 Ω (as shown in the figure). The potential difference across points X and Y is :

In the circuit shown, initially there is no charge on capacitors and keys $S_1$ and $S_2$ are open. The values of the capacitors are $C_1 = 10\ \mu$F, $C_2 = 30\ \mu$F and $C_3 = C_4 = 80\ \mu$F.

Which of the statement(s) is/are correct?

In the figure below, the switches $S_1$ and $S_2$ are closed simultaneously at $t = 0$ and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are as indicated in the figure. Ignore mutual inductance between the inductors. The current $I$ in the middle wire reaches its maximum magnitude $I_{max}$ at time $t = \tau$. Which of the following statements is (are) true?

A source of constant voltage $V$ is connected to a resistance $R$ and two ideal inductors $L_1$ and $L_2$ through a switch $S$ as shown. There is no mutual inductance between the two inductors. The switch $S$ is initially open. At $t = 0$, the switch is closed and current begins to flow. Which of the following options is/are correct?