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Capacitance — NEET UG Physics PYQs

238 previous year questions from Capacitance with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k₁ , k₂ , k₃ and k₄ as shown in figu

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2

Three identical parallel plate air capacitors are connected in series to a battery of e.m.f. V. If two capacitors are completely filled with dielectric material of constant k, then

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3

Four identical capacitors are joined in series, across a battery of 20 V . The capacitors are separated and then connected in parallel. The potential difference across the parallel

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4

The equivalent capacitance between 'P' and 'Q' is [A-area of each plate, d-separation between the plates, ₀ -permittivity of free space]

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5

The air capacitor has a capacitance of 2 F. Now the space between two plates of capacitor is filled with two dielectrics as shown in the figure. The capacitance of the capacitor is

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6

A parallel-plate air capacitor has a capacity ' C ', distance with a separation ' x ', a dielectric material with a dielectric constant ' k ' between plates, and a potential differ

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7

A series combination of 10 capacitors, each of value ' C₁ ' is charged by a source of potential difference ' 4V '. When another parallel combination of 8 capacitors, each of value

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8

Two capacitors of capacity C and C/3 are connected to a battery of voltage V as shown. The work done in charging both the capacitors fully is

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9

A capacitor of 2 F is charged as shown in the diagram. When the switch 'S' is turned to position 2, the percentage of its stored energy dissipated is

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10

In an ideal LC circuit, if the energy stored in the inductor is equal to energy stored in a capacitor, then the magnitude of charge Q stored in capacitor is ( Q₀ is the maximum cha

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11

A parallel plate capacitor with capacitance 1 F is being charged at a rate such that the potential difference across it changes at 10^6 V/s . The instantaneous displacement current

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12

The amount of work done in increasing voltage across the plates of capacitor from 5 V to 10 V is W. The work done in increasing it from 10 V to 20 V is

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13

A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers 1/3 of the area of its plates as shown in the figure. The total capacitance

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14

A parallel plate capacitor filled with oil of dielectric constant 3 between the plates, has a capacitance 'C'. If the oil is completely removed, then the capacitance of the capacit

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15

Consider two uncharged capacitors of equal capacitance 200 pF. One of them is charged by a 100 V supply and disconnected. Now this capacitor is connected to the uncharged capacitor

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16

Five capacitors of capacitances C₁ = C₂ = C₃ = C₄ = 10 F and C₅ = 2.5 F are connected as shown, along with a battery of 50 V. The equivalent capacitance and the charges on each cap

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17

Three identical capacitors P , Q and S , each of the capacitance C , are connected to a battery of voltage V , as shown in the figure. If the energy stored in the capacitor P and t

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18

The plates of a parallel plate capacitor are separated by d. Two slabs of different dielectric constant K₁ and K₂ with thickness 3 8 d and d 2 , respectively are inserted in the ca

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19

The steady state current in| the circuit shown below is :

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20

A 12 pF capacitor is connected to a 50 V battery, the electrostatic energy stored in the capacitor in nJ is

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21

The capacitance of a capacitor with charge q and a potential difference V depends on

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22

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then A. the charge stored in it, increases. B. the energy stored in it, decreases.

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23

In the following circuit, the equivalent capacitance between terminal A and terminal B is :

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24

Given below are two statements: Statement I : The Indian Government has set up GEAC, which will make decisions regarding the validity of GM research. Statement II : Biopiracy is th

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25

The equivalent capacitance of the arrangement shown in figure is

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26

The equivalent capacitance of the system shown in the following circuit is:

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27

The effective capacitances of two capacitors are 3 F and 16 F , when they are connected in series and parallel respectively. The capacitance of two capacitors are:

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28

A capacitor of capacitance C = 900   pF is charged fully by 100   V battery B as shown in figure (a). Then it is disconnected from the battery and connected to another un

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29

The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If C is its initial capacitance, its final capacitance is equal t

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30

The equivalent capacitance of the combination shown in the figure is:

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31

A parallel plate capacitor has a uniform electric field E → in the space between the plates. If the distance between the plates is d and the area of each plate is A , the ene

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32

A parallel plate capacitor having cross-sectional area A and separation d has air in between the plates. Now an insulating slab of the same area but the thickness, d 2 , is inserte

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33

The capacitance of a parallel plate capacitor with air as medium is 6   μ F . With the introduction of a dielectric medium, the capacitance becomes 30   μ F . T

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34

If maximum energy is stored in capacitor at t=0 , then find the time after which current in the circuit will be maximum

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35

Calculate the charge on capacitor in steady state.

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36

A capacitor of capacitance 9 nF having dielectric slab of _r=2.4 , dielectric strength 20 MV m ⁻¹ , and potential difference =20 ~V . Calculate area of plates.

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37

When the capacitor is fully charged then find the current drawn from the cell.

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38

In the given circuit find the heat produced between A and B (given C =1 F )

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39

Two identical capacitors C₁ and C₂ of equal capacitance are connected as shown in the circuit. Terminals a and b of the key k are connected to charge capacitor C ₁ using battery of

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40

A parallel plate capacitor of capacitance 20  μ F is being charged by a voltage source whose potential is changing at the rate of 3   V   s - 1 . The conduction

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41

If maximum energy is stored in capacitor at t=0 , then find the time after which current in the circuit will be maximum

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42

When the capacitor is fully charged then find the current drawn from the cell.

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43

Calculate the charge on capacitor in steady state.

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44

A capacitor of capacitance 9 nF having dielectric slab of _r=2.4 , dielectric strength 20 MV m ⁻¹ , and potential difference =20 ~V . Calculate area of plates.

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45

Find the charge on 2 F .

AIIMS 2018 Solution
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46

Assertion : The force between the plates of a parallel plate capacitor is proportional to charge on it. Reason : Electric force is equal to charge per unit area.

AIIMS 2018 Solution
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47

A fully charged parallel plate capacitor of 1 F capacity is discharging through a resistor. If the energy of the capacitor reduces to half in one second then the value of resistanc

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48

Electric field inside the given capacitor with dielectric is E and dielectric constant of material is K . Find charge density on the plates. (Given E=6 10^5 ~V / m , K=6 )

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49

Find the capacitance in shown figure

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50

If a capacitor having capacitance 2 F and plate separation of 0.5 cm will have area

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51

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A , is

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52

Match the column-I with column-II.

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53

Electric field inside the given capacitor with dielectric is E and dielectric constant of material is K . Find charge density on the plates. (Given E=6 10^5 ~V / m , K=6 )

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54

Find the charge on 2 F .

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55

A fully charged parallel plate capacitor of 1 F capacity is discharging through a resistor. If the energy of the capacitor reduces to half in one second then the value of resistanc

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56

Assertion : The force between the plates of a parallel plate capacitor is proportional to charge on it. Reason : Electric force is equal to charge per unit area.

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57

A parallel plate capacitor with air as a dielectric has capacitance C . A slab of dielectric constant K , having same thickness as the separation between the plates is introduced s

AIIMS 2017 Solution
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58

Two condensers, one of capacity C and the other of capacity C 2 , are connected to a V -volt battery, as shown. The work done in charging fully both the condensers is

JIPMER 2017 Solution
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59

Capacitor C₁ of capacitance 1 F and capacitor C₂ of capacitance 2 F are separately charged fully by a common battery. The two capacitors are then separately allowed to discharged t

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60

A capacitor of capacitance 5 F is connected as shown in the figure. The internal resistance of the cell is 0.5 . The amount of charge on the capacitor plates is

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61

A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

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62

A parallel plate capacitor with air as a dielectric has capacitance C . A slab of dielectric constant K , having same thickness as the separation between the plates is introduced s

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63

In the given figure, the capacitors C₁, C₃, C₄, C₅ have a capacitance 4 F each. If the capacitor C₂ has a capacitance 10 F , then effective capacitance between A and B will be

JIPMER 2016 Solution
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64

A capacitor is charged and then made to discharge through a resistance. The time constant is . In what time will the potential difference across the capacitor decrease by 10 % ?

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65

A parallel-plate capacitor of area A , plate separation d and capacitance C is filled with four dielectric materials having dielectric constants   k 1 , k 2 , k 3 and k 4 as s

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66

A capacitor of 2  μF is charged as shown in the diagram. When the switch S is turned to position 2 , the percentage of its stored energy dissipated is

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67

A 5 F capacitor is charged by being connected to a 3 ~V battery. The battery is then disconnected. If the resistance of the dielectric material between the capacitor plates is 10^9

AIIMS 2015 Solution
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68

A parallel plate air capacitor has capacity C , distance of separation between plates is d and potential difference V is applied between the plates. The force of attraction between

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69

A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K , which can just fill the

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70

A 5 F capacitor is charged by being connected to a 3 ~V battery. The battery is then disconnected. If the resistance of the dielectric material between the capacitor plates is 10^9

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71

The diameter of the plate of a parallel plate condenser is 6 ~cm . If its capacity is equal to that of a sphere of diameter 200 ~cm , the separation between the plates of the conde

AIIMS 2014 Solution
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72

Two capacitors of capacities C₁ and C₂ are charged upto the potential V₁ and V₂ , then condition for not flowing the charge between on connected them in parallel is

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73

Two thin dielectric slabs of dielectric constants K 1 and K 2 K 1 < K 2 are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of elec

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74

The diameter of the plate of a parallel plate condenser is 6 ~cm . If its capacity is equal to that of a sphere of diameter 200 ~cm , the separation between the plates of the conde

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75

A parallel plate condenser is filled with two dielectrics as shown in figure. Area of each pate is A ~m ^2 and the separation is d metre. The dielectric constants are K₁ and K₂ res

JIPMER 2013 Solution
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76

Find the voltage drop across a capacitor connected with a resistance and a battery of 60 ~V in series after a long time.

AIIMS 2012 Solution
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77

A parallel plate capacitor with air as the dielectric has capacitance C . A slab of dielectric constant K and having the same thickness as the separation between the plates is intr

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78

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A , the energy stored i

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79

Find the voltage drop across a capacitor connected with a resistance and a battery of 60 ~V in series after a long time.

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80

Energy stored in between the plates of parallel plate capacitor of area A , separated by distance d is

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81

A parallel plate condenser has a uniform electric field E( ~V / m ) in the space between the plates. If the distance between the plates is d( ~m ) and area of each plate is A ( ~m

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82

Energy stored in between the plates of parallel plate capacitor of area A , separated by distance d is

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83

What would be the voltage across C₃ ?

AIIMS 2010 Solution
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84

Three capacitors of capacitances 1 F , 2 F and 4 F are connected first in a series combination, and then in a parallel combination. The ratio of their equivalent capacitances will

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85

A condenser of capacity C is charged to a potential difference of V₁ . The plates of the condenser are then connected to an ideal inductor of inductance L . The current through the

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86

A series combination of n₁ capacitors, each of value C ₁ , is charged by a source of potential difference 4 ~V . When another parallel combination of n₂ capacitors, each of value C

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87

What would be the voltage across C₃ ?

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88

What is the energy stored in the capacitor between terminals a and b of the network shown in the figure? (Capacitance of each capacitor C=1 F )

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89

A conducting sphere of radius R carrying charge Q lies inside an uncharged conducting shell of radius 2 R . If they are joined by a metal wire, the amount of heat that will be prod

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90

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be :

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91

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be

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92

A conducting sphere of radius R carrying charge Q lies inside an uncharged conducting shell of radius 2 R . If they are joined by a metal wire, the amount of heat that will be prod

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93

What is the energy stored in the capacitor between terminals a and b of the network shown in the figure? (Capacitance of each capacitor C=1 F )

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94

A capacitor having capacitance 1 F with air, is filled with two dielectrics as shown. How many times capacitance will increase?

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95

The energy required to charge a parallel plate condenser of plate separation d and plate area of cross-section A such that the uniform electric field between the plates is E , is

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96

The energy required to charge a parallel plate condenser of plate separation d and plate area of cross-section A such that the uniform electric field between the plates is E, is

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97

Two condensers, one of capacity C and other of capacity C / 2 are connected to a V -volt battery, as shown. The work done in charging fully both the condensers is

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98

Five capacitors, each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P and R , and the capacitance between P and Q is

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99

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increas

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100

Five capacitors, each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P and R , and the capacitance between P and Q is

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101

A network of four capacitors capacity equal C₁=C, C₂=2 C, C₃=3 C and C₄=4 C are conducted to a battery as shown in the figure. The ratio of the change on C₂ and C₄ is:

NEET 2005 Solution
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102

A 40 F capacitor in a defibrillator is charged to 3000 ~V . The energy stored in the capacitor is sent through the patient during a pulse of duration 2 ~ms . The power delivered to

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103

Taking the earth to be a spherical conductor of diameter 12.8 10^3 ~km . Its capacity will be

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104

The capacity of an air condenser is 2.0 F . If a medium is placed between its plates, the capacity becomes 12 F . The dielectric constant of the medium will be

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105

Three capacitors each of capacity 4 F are to be connected in such a way that the effective capacitance is 6 F . This can be done by:

NEET 2003 Solution
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106

In the given figure, the capacitance C₁, C₃, C₄ , C ₅ have a capacitance 4 F each. If the capacitor C₂ has a capacitance 10 F , then effective capacitance between A and B will be

AIIMS 2002 Solution
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107

A capacitor of capacitance C₁ charged up to V volt and then connected to an uncharged capacitor C₂ . Then, the final potential difference across each will be:

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108

From the figure find the capacitance of the capacitor?

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109

A condenser of 2 μ F capacitance is charged steadily from 0 to 5 C . Which of the following graph represents correctly the variation of potential difference V across its plates wit

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110

For the given input voltage waveform V in ( t ) , the output voltage waveform V 0 ( t ) , across the capacitor is correctly depicted by :

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111

In figure, charge on the capacitor is plotted against potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively.

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112

A neutral spherical copper particle has a radius of 10 nm 1 nm = 10 - 9 m . It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the tot

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113

How will the voltage V between the two plates of a parallel plate capacitor depend on the distance d between the plates, if the charge on the capacitor remains the same?

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114

During charging a capacitor, variations of potential V of the capacitor with time t is shown as

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115

The insulated plates of a charged parallel plate capacitor (with small separation between the plates) are approaching each other due to electrostatic attraction. Assuming no other

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116

Assertion (A) Two condensers of same capacity are connected first in parallel and then in series. The ratio of resultant capacities in the two cases will be 4: 1 . Reason ( R ) In

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117

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two metallic spheres are charged to the same potential. One of

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118

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Mutual force of attraction between two plates of isolated

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119

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : It is not possible to make a spherical conductor of capaci

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120

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : When two charged capacitors are connected in parallel, the

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