Kirchhoff's Voltage Law

Q. In the circuit shown, what is the potential difference $V_{PQ}$ between points $P$ and $Q$?

1. $+3\text{V}$
2. $+2\text{V}$
3. $-2\text{V}$
4. None

Q. Both capacitors are initially uncharged and then connected as shown and switch is closed. What is the potential difference across the $3\mu F$ capacitor?

1. $30\text{V}$
2. $10\text{V}$
3. $25\text{V}$
4. None of these

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. If $24$ cells each of internal resistance $I$ $\Omega$ are to be connected in series and parallel combination to get the maximum power output across a load of $10$ $\Omega$. If $x$ represents the number of rows and $y$ represents the number of cells in each row. Which of the following relation between $x$ and $y$ is correct?

1. $y-x=23$
2. $y-x=10$
3. $y-x=23$
4. $y-x=5$

Q. If deflection of galvanometer is zero, then value of E is

Q. When the switches are arranged so that the current through the battery is maximum, what is the voltage across points $A$ and $B$?

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

Q.
For a given L - C - R circuit, list 1 - gives voltage across source inductor, capacitor & resistance, and list -2 gives their magnitudes.
$\begin{array}{cccc}& \text{List -1}& & \text{List -II}\\ \left(I\right)& \in & \left(p\right)& 480\\ \left(II\right)& V_L& \left(Q\right)& 400\\ \left(III\right)& V_C& \left(R\right)& 240\\ \left(IV\right)& V_R& \left(S\right)& 200\\ & & \left(T\right)& 160\\ & & \left(U\right)& 0\end{array}$
If current in the circuit at an instant is 6A, then correct match for potential difference at that instant. [Neglect negative sign if any]

1. $I\to PII\to SIII\to TIV\to U$
2. $I\to PII\to QIII\to TIV\to R$
3. $I\to QII\to SIII\to TIV\to R$
4. $I\to SII\to TIII\to RIV\to U$

Q.
For a given L - C - R circuit, list 1 - gives voltage across source inductor, capacitor & resistance, and list -2 gives their magnitudes.
$\begin{array}{cccc}& \text{List -1}& & \text{List -II}\\ \left(I\right)& \in & \left(p\right)& 480\\ \left(II\right)& V_L& \left(Q\right)& 400\\ \left(III\right)& V_C& \left(R\right)& 240\\ \left(IV\right)& V_R& \left(S\right)& 200\\ & & \left(T\right)& 160\\ & & \left(U\right)& 0\end{array}$
If current in the circuit at an instant is 6A, then correct match for potential difference at that instant. [Neglect negative sign if any]

1. $I\to PII\to SIII\to TIV\to U$
2. $I\to PII\to QIII\to TIV\to R$
3. $I\to QII\to SIII\to TIV\to R$
4. $I\to SII\to TIII\to RIV\to U$

Q. When the switches are arranged so that the current through the battery is maximum, what is the voltage across points $A$ and $B$?

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

Q. You are given many resistors, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of 50 $Hz$ frequency (the next three circuits) in different ways as shown in Column II. When a current $I$ (steady state for DC or rms for AC) flows through the circuit, the corresponding voltages $V_1$ and $V_2$ (indicated in circuits) are related as shown in Column I. Match the two columns. Column I Column II

i	$$I\ne 0,V_1\text{is proportional to}I$$	a
ii	$$I\ne 0,V_2>V_1$$	b
iii	$$V_1=0,V_2=V$$	c
iv	$$I\ne 0,V_2\text{is proportional to}I$$	d
		e

1. i - c, d, e ; ii - b, c, d, e ; iii - a, b ; iv - b, c, d, e
2. i - c, d, e ; ii - b, c, e ; iii - a, b ; iv - b, c, d, e
3. i - c, d ; ii - b, d, e ; iii - a, b ; iv - b, d, e
4. i - c, e ; ii - b, c, d, e ; iii - a, b ; iv - b, c, e

Q. The incorrect option in the given circuit if the reading of ammeter is zero is

1. The value of ${\epsilon }_1$ will be $\frac{\epsilon (R+r)}{R}$
2. Current in $R$ is $\frac{{\epsilon }_1}{r+R}$
3. Value of ${\epsilon }_1$ will be $\epsilon$
4. Potential across $2R$ is zero.

Q. A combination of secondary cells has an equivalent EMF of 2 V, internal resistance of 400 $\Omega$. Maximum current that can be drawn is.

1. 0.005 A
2. 0.0005 A
3. 0.010 A
4. 0.010 A

Q. In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance $C\mu \text{F}$ across a $200\text{V},50\text{Hz}$ supply. The power consumed by the lamp is $500\text{W}$ while the voltage drop across it is $100\text{V}$. Assume that there is no inductive load in the circuit. Take $rms$ values of the voltages. The magnitude of the phase-angle (in degrees) between the current and the supply voltage is $\varphi$.

Assume, $\pi \sqrt{3}\approx 5$.

The value of $C$ is -