Kirchhoff's Junction Law

Q. In general in an alternating current circuit

1. The average value of current is zero
2. The average value of square of the current is zero
3. Average power dissipation is zero
4. The phase difference between voltage and current is zero

Q.

What will the algebraic sum of a closed circuit be?

Q. For a given circuit, charge on capacitor $C_1$ and $C_2$ in steady state will be equal to

1. $C_1(V_A-V_C),C_2(V_C-V_B)$ respectively
2. $C_1(V_A-V_B),C_2(V_A-V_B)$ respectively
3. $(C_1+C_2)(V_A-V_B)$ on each capacitor
4. $\left(\frac{C_1{C}_2}{C_1+C_2}\right)(V_A-V_B)$ on each capacitor

Q. Find the current i in this circuit section shown.

1. 1 A
2. 2 A
3. 3 A
4. 0 A

Q. In the circuit shown in the figure, the current through the $10\Omega$ resistor is

1. $\frac{1}{9}\text{A}$
2. $\frac{4}{9}\text{A}$
3. $\frac{2}{3}\text{A}$
4. $\frac{5}{6}\text{A}$

Q. The given infinite grid consists of hexagonal cells of six resistors each of resistance R. Then $R_{12}$ is equal to

1. $\frac{R}{3}$
2. $\frac{2R}{3}$
3. $\frac{4R}{3}$
4. $\frac{3R}{4}$

Q. The following figure shows a network of currents, their magnitudes and directions. The current $I$ will be equal to _____.

1. $-3A$
2. $3A$
3. $13A$
4. $20A$

Q. In the circuit shown in figure, cells of emf 2, 1, 3 and $1\text{V}$, respectively and resistances $2\Omega ,1\Omega ,3\Omega$ and $1\Omega$ are their internal resistances respectively. The potential difference between $D$ and $B$ is given as $\frac{n}{13}$ volts. Find $n$.

Q. Determine the current in the following circuit

1. 1 A
2. 2.5 A
3. 0.4 A
4. 3 A

Q.

Kirchhoff's second law is an extension of:

1. Faraday's law

2. Joule's law

3. Ampere's law

4. Ohm's law

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

1. ${\epsilon }_1-(i_1+i_2)R-i_1{r}_1=0$
2. ${\epsilon }_2-i_2{r}_2-{\epsilon }_1-i_1{r}_1=0$
3. $-{\epsilon }_2-(i_1+i_2)R+i_2{r}_2=0$
4. ${\epsilon }_1-(i_1+i_2)R+i_1{r}_1=0$

Q. Kirchhoff’s junction law is a consequence of .

1. energy conservation
2. charge conservation
3. charge quantization
4. energy quantization

Q. Three resistance are joined to form a letter $Y$, as shown in figure. If the potentials of the terminals $A,B$ and $C$ are $6\text{V},3\text{V}$ and $2\text{V}$ respectively, then the potential of the point $O$ will be

1. $4\text{V}$
2. $3\text{V}$
3. $2.5\text{V}$
4. $0\text{V}$

Q.

Kirchhoff's second law is an extension of:

1. Faraday's law

2. Joule's law

3. Ampere's law

4. Ohm's law

Q. The current i in this circuit section shown is .

1. 1 A
2. 2 A
3. 3 A
4. 0 A

Q. In general in an alternating current circuit

1. The average value of current is zero
2. The average value of square of the current is zero
3. Average power dissipation is zero
4. The phase difference between voltage and current is zero

Q. In the circuit shown in the figure, the current through the $10\Omega$ resistor is

1. $\frac{1}{9}\text{A}$
2. $\frac{4}{9}\text{A}$
3. $\frac{2}{3}\text{A}$
4. $\frac{5}{6}\text{A}$

Q. Three resistances are joined together to form a letter $Y$, as shown in figure. If the potentials of the terminals $A,B$ and $C$ are $6\text{V},3\text{V}$ and $2\text{V}$ respectively, then the potential of the point $O$ will be

1. $4\text{V}$
2. $3\text{V}$
3. $2.5\text{V}$
4. $0\text{V}$

Q. The magnitude of i in ampere unit is

1. 0.1
2. 0.3
3. 0.6
4. None of these

Q. Consider the circuit shown in the figure. The sliding contact is being pulled towards the right so that the resistance in the circuit is increasing. Its value at the instant shown is $12\Omega$. The current flowing in the circuit is $i.$ Then :

1. $i=0.5\text{A}$
2. $i>0.5\text{A}$
3. $i<0.5\text{A}$
4. None of the above