Kirchoff's Voltage Law

Q. The resistances of the four arms $\text{P, Q, R}$ and $\text{S}$ , in a Wheatstone's bridge, are $10\Omega ,30\Omega ,30\Omega \text{and}90\Omega$ respectively. The e.m.f. and internal resistance of the cell are $7\text{V}\text{and}5\Omega$ respectively. If the galvanometer resistance is $50\Omega ,$ the current drawn from the cell will be -

1. $2.0\text{A}$
2. $1.0\text{A}$
3. $0.2\text{A}$
4. $0.1\text{A}$

Q. In the given circuit with steady current the potential drop across the capacitor must be

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

Q.

What are the limitations of superposition theorem.

Q. When the resistance of $2\Omega$ is connected across the terminal of the cell, the current is 0.5 amp. When the resistance is increased to $5\Omega$, the current is 0.25 amp. The emf of the cell is

1. 1.5 volt
2. 2.0 volt
3. 2.5 volt
4. 1.0 volt

Q. Three capacitors are connected in the arms of a triangle ABC as shown in the figure. 5V voltage is applied between A and B. The voltage between B and C is:

1. 2V
2. 1V
3. 1.5V
4. 0.5V

Q.

An electron of mass m and charge e is accelerated from rest through a potential difference v in vacuum. What speed will it acquire?

Q. In the circuit shown the readings of ammeter and voltmeter are $4\text{A}$ and $20\text{V}$ respectively. The meters are non-ideal, then $R$ is :

1. $5\Omega$
2. less than $5\Omega$
3. greater than $5\Omega$
4. between $4\Omega \&5\Omega$

Q. Four resistances of $15\Omega ,12\Omega ,4\Omega$ and $10\Omega$ respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of $10\Omega$ to balance the network is _____ $\Omega$.

Q. In a circuit, three resistance $\text{P, Q}$ and $\text{R}$ are connected in the three arms and the fourth arm is formed by two resistance $S_1$ and $S_2$ connected in parallel. The condition for which the circuit will become a balanced wheatstone bridge is

1. $\frac{P}{Q}=\frac{R(S_1+S_2)}{2S_1{S}_2}$
2. $\frac{P}{Q}=\frac{R}{S_1+S_2}$
3. $\frac{P}{Q}=\frac{2R}{S_1+S_2}$
4. $\frac{P}{Q}=\frac{R(S_1+S_2)}{S_1{S}_2}$

Q.

State the law of the combination of resistances in parallels.

Q. In the given circuit all ammeters are ideal. Then choose correct statement.

1. Reading of $A_2$ = Reading of $A_5$
2. Reading of $A_2$ and reading of $A_4$ both are zero.
3. Reading of $A_1$ is 5 amp
4. Reading of $A_1=\frac{5}{2}$ times reading of $A_3$.

Q. In the circuit shown in the figure, a meter bridge is in its balance state. The meter bridge wire has a resistance of $0.1$$\Omega$/$\text{cm}$. Calculate the value of unknown resistance $X$ and the current drawn from the battery of negligible internal resistance.

1. $1\Omega ,3.6\text{A}$
2. $2\Omega ,0.9\text{A}$
3. $3\Omega ,1.0\text{A}$
4. $2\Omega ,1.8\text{A}$

Q. Current through wire $XY$ of circuit shown is

1. $1\text{A}$
2. $4\text{A}$
3. $2\text{A}$
4. $3\text{A}$

Q. In the figure, potential difference between $\text{A}$ and $\text{B}$ is:

1. $\text{10 V}$
2. $\text{5 V}$
3. $\text{15 V}$
4. Zero

Q. The resistance $R_t$ of a conductor varies with temperature $t$ as shown in the figure. If the variation is represented by
$R_t=R_0[1+\alpha t+\beta t^2],$ then

1. $\alpha$ is negative and $\alpha$ are positive
   
2. $\alpha$ is positive and $\beta$ is negative
   
3. $\alpha$ and $\beta$ are both positive
   
4. $\alpha$ and $\beta$ are both negative"
   

Q. The alternating current in a circuit is described by the graph shown in Figure. Show rms current in this graph.

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

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

Q. What is the resistance of this $4$ strip resistor ?

Colour are in order- Yellow, violet, red, golden.

1. $[4.7\pm 5\%]\text{k}\Omega$
2. $[3.6\pm 5\%]\text{k}\Omega$
3. $[4.7\pm 10\%]\text{k}\Omega$
4. $[3.6\pm 10\%]\text{k}\Omega$

Q.

Four resistors of $5\Omega$, $10\Omega$, $15\Omega$ and $20\Omega$ are connected in parallel. Calculate the total resistance of the circuit.

Q. In the given circuit potential of junction $P$ is :

1. 4 V
2. 0 V
3. 3.2 V
4. 2.8 V

Q. The color code of a carbon resistor is given below

The resistance of the resistor will be

1. $24\times {10}^7\Omega \pm 10\%$
2. $25\times {10}^4\Omega \pm 10\%$
3. $35\times {10}^6\Omega \pm 5\%$
4. $27\times {10}^5\Omega \pm 5\%$

Q. Sixteen identical resistors, each having resistance $R$ are connected as shown in the figure. Find the net resistance between points $X$ and $Y$.

1. $\frac{5R}{7}$
2. $\frac{7R}{6}$
3. $\frac{6R}{7}$
4. $\frac{3R}{7}$

Q.

Explain whether Gauss's law is useful in calculating the electric field due to three equal charges located at the corners of an equilateral triangle.

Q. 4 ideal diodes are connected as shown in the circuit. The current through $50\Omega$ resistance is

1. $0.1\text{A}$
2. $0.5\text{A}$
3. $0.6\text{A}$
4. $1\text{A}$

Q.

Three resistors of $2\Omega$, $3\Omega$ and $15\Omega$ are connected in parallel. Calculate the total resistance of the circuit.

Q.

Kirchhoffs second law is based on the law of conservation of

1. Charge

2. Momentum

3. Energy

4. Sum of mass and energy

Q.

What is the current flowing through the $10\Omega$ resistor in the figure below?

1. 0.2 A
2. 0.3 A
3. 0.1 A
4. 0.4 A

Q.

At equilibrium what happens to the cell potential?

Q. Considering the circuit and data given in the diagram, calculate the currents flowing in the diodes $D_1$ and $D_2$. Forward resistance of $D_1$ and $D_2$ is $20\Omega$.

1. $\frac{1}{220}\text{A},\frac{1}{220}\text{A}$
2. $\frac{1}{220}\text{A},\frac{1}{110}\text{A}$
3. $\frac{1}{110}\text{A},\frac{1}{220}\text{A}$
4. $\frac{1}{110}\text{A},\frac{1}{110}\text{A}$

Q. Five equal resistors each of resistance $R$ are connected as shown in the Figure. A battery of voltage $V$ is connected between $\text{A}$ and $\text{B}$. The current flowing in $\text{AFCEB}$ will be

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