Kirchoff's Voltage Law

Q. The potential Energy of a particle in a force field is U = A/r^2 - B/r where A and B are positive constants and r is the distance of particle from the center of the field. For stable equilibrium, the distance of the particle is?

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

1. 1.6 A
2. 1.8 A
3. 1.25 A
4. 1.0 A

Q.

In the given circuit find the current through $6\Omega$ resistance

1. $10A$

2. $7A$

3. $25A$

4. $30A$

Q. an Alpha particle completes 40, 000 revolutions in a cyclotron before exiting from . if potential difference between the dees is 5000 volt then energy gained by particle is 1. 8MeV 2. 800MeV

Q. A particle in a conservative force field has potential energy given by V=20XY/Z the force exerted on it is

Q. Consider the following statements:
I. Kirchhoff’s junction law follows from the conservation of charge.
II. Kirchhoff’s loop law follows from the conservation of energy.
Which of the following is correct?

1. Both I and II are wrong.
2. I is correct and II is wrong.
3. I is wrong and II is correct.
4. Both I and II are correct.

Q. Kirchhoff’s voltage law is a consequence of?

1. Conservation of energy
2. Conservation of charge
3. Quantization of energy
4. Quantization of charge

Q. The potential energy of a particle in a force field is U=A/r^2 - B/r where A and B are positive constants and r is the distance of particle from the centre of the field For stable equilibrium the distance of the particle is 1)A/B 2)B/A 3)B/2A 4)2A/B

Q. If $100\text{volts}$ of potential difference is applied between ${}^{\prime }{a}^{\prime }$ and ${}^{\prime }{b}^{\prime }$ in the circuit shown in the figure. The potential difference between '$\text{c}$' and '$\text{d}$' will be (Given $V_a>V_b)$.

Q. $A,B$ and $C$ are voltmeters of resistance $R,1.5R$ and $3R$ respectively. When some potential difference is applied between $X$ and $Y$, the voltmeter readings are $V_A,V_B$ and $V_C$ respectively. Then

1. $V_A=V_B=V_C$
2. $V_A\ne V_B=V_C$
3. $V_A=V_B\ne V_C$
4. $V_A\ne V_B=V_C$

Q. In the given circuit, find the potential difference $V_P-V_Q$

1. 5V
2. 10V
3. 15V
4. 20V

Q. Find the current $I_2$.

1. ${10}^{-4}A$
2. $2\times {10}^{-4}A$
3. $3\times {10}^{-4}A$
4. $5\times {10}^{-4}A$

Q. In the given circuit, in the steady state condition, the potential drop across the capacitor must be-

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

Q. Find the current $I_2$.

1. ${10}^{-4}A$
2. $2\times {10}^{-4}A$
3. $3\times {10}^{-4}A$
4. $5\times {10}^{-4}A$

Q. The potential difference $(V_A-V_B)$ between the points $A$ and $B$ in the given figure is:

1. $+9\text{V}$
2. $-3\text{V}$
3. $+3\text{V}$
4. $+6\text{V}$

Q.

Find the value of r if I-1A and potential difference across PQ is 1V

1. $5\Omega$

2. $10\Omega$

3. $20\Omega$

4. $25\Omega$

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

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