# Kirchhoff's Voltage Law

## Trending Questions

**Q.**A capacitor of capacitance C1=1.0μF withstand a maximum voltage E1=6.0 kV while a capacitor of capacitance C2=2.0μF can withstand the maximum voltage E2=4.0 kV. For what voltage will the system of these two capacitors with stand , if they both are connected in series ?

- 9 kV
- 10 kV
- 11 kV
- 12 kV

**Q.**What is the electrostatic pressure on the plate of a PPC of capacitance 2 μF separated by 2 mm and 20 V potential difference is applied across the capacitor?

- 2.425×10−5 Pa
- 1.425×10−5 Pa
- 4.425×10−4 Pa
- 7.425×10−4 Pa

**Q.**In the circuit shown in figure, AC source gives a voltage V=20cos2000t. Neglecting source resistance, ammeter readings will be

- 2.5 A
- 1.4 A
- 1.6 A
- 2.0 A

**Q.**

In the circuit shown, the charge on $5\mathrm{\xce\xbcF}$ the capacitor is:

$5.45\mathrm{\xce\xbcC}$

$18.00\mathrm{\xce\xbcC}$

$10.90\mathrm{\xce\xbcC}$

$16.36\mathrm{\xce\xbcC}$

**Q.**Two identical batteries, each of emf 2 V and internal resistance r=1 Ω are connected as shown. The maximum power that can be developed across R using these batteries is

- 3.2 W
- 8.2 W
- 2 W
- 4 W

**Q.**If the two dielectrics of dielectric constant K1 & K2 with thickness t1 & t2 respectively, were to be replaced by a single dielectric completely filling the space between the two plates, then its equivalent dielectric constant will be

- K1K2(t1+t2)K1t1+K2t2
- K1K2(t1+t2)K1t2+K2t1
- 2K1K2(t1+t2)K1t2+K2t1
- K1K2(t1+t2)2(K1t1+K2t1)

**Q.**Statement I

To get a steady dc output from the pulsating voltage received from a full wave rectifier, we can connect a capacitor across the output parallel to the load RL.

Statement II

To get a steady dc output from the pulsating.voltage received from a full wave rectifier, we can connect an inductor in series with RL.

In the light of the above statements, choose the most appropriate answer from the options given below:

- Both Statement I and Statement II are true
- Statement I is false but Statement II is true.
- Statement I is true but Statement II is false
- Both Statement I and Statement II are false

**Q.**In the circuit shown, what is the potential difference VPQ between points P and Q?

- +3 V
- +2 V
- −2 V
- None

**Q.**In a series LCR circuit, voltage drop across resistance is 8 V , across inductor is 6 V and across capacitor is 12 V. Then,

- Voltage of the source will be leading in the circuit.
- Voltage drop across each element will be less than the applied voltage.
- Power factor of the circuit will be 34.
- None of the above.

**Q.**In he given circuit, a charge of +80 μC is given to the upper plate of the 4μF capacitor. Then in the steady state, the charge on the upper plate of the 3 μF capacitor is

Diagram

- +48 μC
- +80 μC
- +40 μC
- +32 μC

**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 V1 and V2 (indicated in circuits) are related as shown in Column I. Match the two columns.

Column I Column II

i. | I≠0, V1 is proportional to I | a. | |

ii. | I≠0, V2>V1 | b. | |

iii. | V1=0, V2=V | c. | |

iv. | I≠0, V2 is proportional to I | d. | |

e. |

- i - c, d, e ; ii - b, c, d, e ; iii - a, b ; iv - b, c, d, e
- i - c, d, e ; ii - b, c, e ; iii - a, b ; iv - b, c, d, e
- i - c, e ; ii - b, c, d, e ; iii - a, b ; iv - b, c, e
- i - c, d ; ii - b, d, e ; iii - a, b ; iv - b, d, e

**Q.**In the circuit shown below, if the resistance 5Ω develops a heat 42J per second, then heat developed in 2Ω must be about:

- 30 J/s
- 20 J/s
- 25 J/s
- 35 J/s

**Q.**The capacitor C1 in the figure initially carries a charge q0. When the switch S1 and S2 are closed, capacitor C1 is connected to a resistor R and a second capacitor C2 which initially does not carry any charge. The current i, through resistor R as a function of time t is represented as:

- i=q0C1e[−t(C1+C2)R]
- i=q0C1Re[−t(C1+C2)C1C2R]
- i=2q0C1Re[−tC2R]
- i=2q0C2Re[−tC1R]

**Q.**A resistance R, an inductance L and a capacitor C are all connected in series with an AC supply. The resistance is of 16 Ω and for a given frequency, the inductive reactance of L is 24 Ω and capacitance reactance of C is 12 Ω. If the current in the circuit is 5 A, find the potential difference across R, L and C in (V).

- 120, 120, 60
- 80, 120, 60
- 80, 80, 80
- 60, 80, 100

**Q.**The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitor. The new potential difference of the combined system is-

- V
- VK+n
- (n+1)V(K+n)
- nVK+n

**Q.**A cell develops the same power across two resistance R1 and R2 separately. The internal resistance of the cell is-

- √R1R2
- √R1+R2
- R1+R2
- √R1R2

**Q.**

Find the potential difference Va−Vb in the circuits shown if figure (32-E12).

Figure 32 - E12

**Q.**Three identical bulbs are connected in series and these together dissipate a power P. If now these bulbs are connected in parallel, then the power dissipated will be

- P3
- 3P
- 9P
- P9

**Q.**In figure, if the potential at point P is 100 V, what is the potential at point Q?

- 10 V
- −20 V
- 20 V
- −10 V

**Q.**In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C μF across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 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 ϕ.

Assume, π√3≈5.

The value of C is -

**Q.**If the charge on left plate of the 5 μF capacitor in the circuit segment shown in the figure is −20 μC, then the charge on the right plate of 3 μF capacitor is:

- +8.58 μC
- −8.58 μC
- +11.42 μC
- −11.42 μC

**Q.**A parallel plate capacitor is made using three different dielectric materials as shown in figure. Separation between the plates of the capacitor is d. The equivalent capacitance between the plates is

- ε0KAd
- 2ε0KAd
- 3ε0KAd
- 5ε0KAd

**Q.**Find charge on each capacitor in the given circuit?

- 46 μC, 54 μC, 7 μC
- 66 μC, 7.5 μC, 58.5 μC
- 58.5 μC, 7.5 μC, 60 μC
- 7.5 μC, 36 μC, 55 μC

**Q.**Both capacitors are initially uncharged and then connected as shown and switch is closed. What is the potential difference across the 3 μF capacitor?

- 30 V
- 10 V
- 25 V
- None of these

**Q.**A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is

- 11×10−5 W
- 11×10−3 W
- 11×10−4 W
- 11×105 W

**Q.**Calculate the steady state current in the 2 Ω resistor and steady state charge on the capacitor in the circuit?

- 0.9 A; 0.36 μ C
- 0.7 A; 0.27 μ C
- 0.5 A; 0.20 μ C
- 0.2 A; 2 μ C

**Q.**A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K1=2, K2=4, K3=6 and K4=8 arranged as shown in the figure. The effective dielectric constant will be

- 3.8
- 4.8
- 1.8
- 2.8

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

- V
- V2
- V3
- 2V3

**Q.**A part of the circuit as shown in the figure. All the capacitors have capacitance of 2 μF, then charge on

- capacitor C1 is zero
- capacitor C2 is zero
- capacitor C3 is zero
- any capacitor cannot be determined

**Q.**In the given circuit, if the galvanometer shows zero reading, then

x=

- 30
- 50
- 100
- 20