Kirchhoff's Current Law

Q. A $5\text{V}$ battery with internal resistance $2\Omega$ and a $2\text{V}$ battery with internal resistance $1\Omega$ are connected to a resistor as shown in the figure.


The current in the resistor is

1. $0.27\text{A},P_2$ to $P_1$
2. $0.03\text{A},P_1$ to $P_2$
3. $0.03\text{A},P_2$ to $P_1$
4. $0.27\text{A},P_1$ to $P_2$

Q.

A battery of emf $10V$ and internal resistance $3\Omega$ is connected to a resistor. The current in the circuit is $0.5A$. The terminal voltage of the battery when the circuit is closed is:

1. $10V$

2. $0V$

3. $1.5V$

4. $8.5V$

Q.

In a diode, when there is a saturation current, the plate resistance $\left({\mathrm{r}}_{\mathrm{p}}\right)$, is

1. zero

2. infinite quantity

3. data insufficient

4. some finite quantity

Q.

A P.D. of 4 V is applied to two resistors of 6 ohms and 2 ohms connected in series. Calculate:

(a) the combined resistance

(b) the current flowing

(c) the p.d. across the 6 ohms resistor

Q. In the circuit (Fig.), the current through Zener diode is (in $\text{mA}$) :

Q. A series $\text{LCR}$ circuit connected across $(200\text{V},60\text{Hz})$ source. It consists of a capacitor of capacitive reactance $30\Omega$, a non-inductive resistor of $40\Omega$ and an ideal inductor of inductive reactance $90\Omega$ as shown in the figure. The potential difference across the resistor will be nearly -


$[$0.77 Mark$]$

1. $200\text{V}$
2. $100\text{V}$
3. $360\text{V}$
4. $112\text{V}$

Q. A series $\text{LCR}$ circuit connected across $(200\text{V},60\text{Hz})$ source. It consists of a capacitor of capacitive reactance $30\Omega$, a non-inductive resistor of $40\Omega$ and an ideal inductor of inductive reactance $90\Omega$ as shown in the figure. The value of inductance of the inductor in the circuit is nearly -


​​​​​​​$[$0.77 Mark$]$

1. $1\text{H}$
2. $1.61\text{H}$
3. $0.24\text{H}$
4. $2.91\text{H}$

Q. In the network given points one of potentials of $70\text{V},0\text{V}$ and $10\text{V}$ respectively. The ratio of current through AD, DB and DC is

1. $1:2:3$
2. $2:3:1$
3. $3:2:1$
4. $1:2:1$

Q. In an $\text{LCR}$ series circuit ܴ$R=1\Omega$, and $X_C=1000\Omega$ and ܺ$X_C=1000\Omega$. A source of $100\text{mV}$ is connected in the circuit the current in the circuit is_______ (in milli Ampere)

Q. If $i_1=3\sin \omega t$ and $i_2=4\cos \omega t$, then $i_3$ is

1. $5\sin (\omega t+{90}^{\circ })$
2. $5\sin (\omega t+{37}^{\circ })$
3. $5\sin (\omega t+{45}^{\circ })$
4. $5\sin (\omega t+{53}^{\circ })$

Q. In the given circuit, let $i_1$ be the current drawn from battery at time $t=0$ i.e. when switch is just closed and $i_2$ be steady state current at $t=\infty$, then the ratio $\frac{i_1}{i_2}$ is

Q. The switch $S$ in the circuit shown is closed. If the value of potential at $A$ is $20\text{V}$ , then the value of current $i$ will be (Give integer value)

Q. In the circuit diagram shown, $X_C=100\Omega ,X_L=200\Omega$ and $R=100\Omega$. The effective current through the source is:

1. $2\sqrt{2}\text{A}$
2. $0.5\text{A}$
3. $2\sqrt{0.4}\text{A}$
4. $2\text{A}$