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Electric Field and Potential — JEE Main & Advanced Physics PYQs

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

113 questionsPhysicsSolutions on every page
1

Determine the dimensional formula of ₀ .

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2

Two equal charges are situated at a separation of 1.0 m . What must be the magnitude of the charges so that the force between them is equivalent to the weight of a 50 kg person?

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3

Determine the electric force between two protons separated by a distance of 1 fermi ( 1 fermi = 10⁻¹⁵ m ). Protons within a nucleus remain at a separation of this order.

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4

Two charges of 2.0 10⁻⁶ C and 1.0 10⁻⁶ C are located at a separation of 10 cm . Determine where a third charge must be placed so that it experiences zero net force from these two c

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5

A 1.0 C charge is positioned at the top of a college building, while another equal charge is located at the top of a house. Assuming the separation between the two charges to be 2.

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6

Determine the separation at which two equal charges of 1.0 C each must be placed so that the force between them is equal to the weight of a 50 kg person.

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7

Two charges of 2.0 10⁻⁶ C and -1.0 10⁻⁶ C are placed at a separation of 10 cm . Determine the position where a third charge will experience zero net force.

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8

Two charged particles are separated by a distance of 1.0 cm . Determine the minimum possible magnitude of the electric force acting on each charge.

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9

Estimate the number of electrons contained in 100 g of water. What is the total negative charge of these electrons?

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10

Assume a gold nucleus is a sphere of radius 6.9 fermi in which protons and neutrons are distributed. Determine the repulsive force between two protons located at the maximum possib

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11

Two insulating small spheres are rubbed together and then positioned 1 cm apart. If they attract one another with a force of 0.1 N , determine the approximate number of electrons t

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12

Assume all the electrons in 100 g of water are lumped together to form a negatively charged particle, while all the nuclei are lumped together to form a positively charged particle

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13

An NaCl molecule is bound by the electric force between the sodium and chlorine ions when one electron from sodium is transferred to chlorine. Assuming the ions act as point charge

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14

Determine the ratio of the electric and gravitational forces between two protons.

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15

Consider an attractive nuclear force acting between two protons that can be expressed as F = Ce^ -kr /r^2 . Determine the dimensional formulae and appropriate SI units of C and k .

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16

Consider an attractive nuclear force acting between two protons that can be expressed as F = Ce^ -kr /r^2 . Assume that k = 1 fermi ⁻¹ and the repulsive electric force between the

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17

Three identical charges, each of 2.0 10⁻⁶ C , are held fixed at the three corners of an equilateral triangle of side 5 cm . Determine the magnitude of the Coulomb force experienced

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18

Four identical charges of 2.0 10⁻⁶ C each are secured at the four corners of a square with a side length of 5 cm . Determine the Coulomb force experienced by one of the charges due

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19

A hydrogen atom consists of one proton and one electron. It may be assumed that the electron revolves in a circle of radius 0.53 angstrom ( 1 angstrom = 10⁻¹⁰ m and is abbreviated

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20

A hydrogen atom comprises one proton and one electron. We can assume that the electron revolves in a circle of radius 0.53 angstrom ( 1 angstrom = 10⁻¹⁰ m , abbreviated as Å) with

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21

Ten positively charged particles are held fixed along the x -axis at positions x = 10 cm , 20 cm , 30 cm , , 100 cm . The first particle possesses a charge of 1.0 10⁻⁸ C , the seco

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22

Placed on a smooth horizontal table, two charged particles, each with a charge of 2.0 10⁻⁸ C , are connected by an insulating string of length 1 m . Determine the tension in the st

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23

Two identical balls, each possessing a charge of 2.00 10⁻⁷ C and a mass of 100 g , are suspended by two 50 cm long insulating strings from a common point. The balls are initially h

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24

Two identical balls, each possessing a charge of 2.00 10⁻⁷ C and a mass of 100 g , are suspended by two 50 cm long insulating strings from a common point. The balls are initially h

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25

Two identical balls, each possessing a charge of 2.00 10⁻⁷ C and a mass of 100 g , are suspended by two 50 cm long insulating strings from a common point. The balls are initially h

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26

Two identical balls, each possessing a charge of 2.00 10⁻⁷ C and a mass of 100 g , are suspended by two 50 cm long insulating strings from a common point. The balls are initially h

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27

Two identical pith balls are charged by rubbing against one another. They are suspended from a horizontal rod using two strings of length 20 cm each, with a separation of 5 cm betw

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28

Two small spheres, each with a mass of 20 g , are hung from a common point by two insulating strings, each 40 cm long. The spheres carry identical charges, and the equilibrium sepa

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29

Two identical pith balls, each with a charge q , are suspended from a common point using two strings of equal length l . Determine the mass of each ball given that the angle betwee

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30

A particle carrying a charge of 2.0 10⁻⁴ C is positioned directly below the resting bob of a simple pendulum, at a separation of 10 cm . If the mass of the bob is 100 g , determine

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31

Two particles A and B possessing charges q and 2q respectively are located on a smooth table with a separation d . A third particle C is to be clamped on the table such that partic

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32

Two identically charged particles are attached to the opposite ends of a spring having a natural length of 10 cm and a spring constant of 100 N m ⁻¹ . The system rests on a smooth

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33

A particle A with a charge of 2.0 imes 10⁻⁶ C is held fixed on a horizontal table. A second charged particle of mass 80 g remains in equilibrium on the table at a distance of 10 cm

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34

At the base of a smooth inclined plane with an inclination of 30^ , a particle A having a mass of 100 g and a charge of 2.0 10⁻⁶ C is placed. At what distance from the bottom along

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35

Two particles A and B , each carrying a charge Q , are located a distance d apart. At what point on the perpendicular bisector of AB must a particle of charge q be positioned to ex

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36

Two particles A and B , each carrying a charge Q , are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the midpoint of the line segm

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37

Two particles A and B , each carrying a charge Q , are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the midpoint of the line segm

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38

Two particles A and B , each carrying a charge Q , are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the midpoint of the line segm

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39

Two particles A and B , each carrying a charge Q , are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the midpoint of the line AB .

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40

Two particles A and B , each carrying a charge Q , are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the midpoint of the line AB a

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41

Two particles A and B , each carrying a charge Q , are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the midpoint of the line AB .

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42

A charge of 1.0 imes 10⁻⁶ C experiences an electric force of 1.5 imes 10⁻³ N . Determine the magnitude of the electric field at the location of the charge.

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43

Two particles A and B , possessing charges of +2.00 10⁻⁶ C and -4.00 10⁻⁶ C respectively, are held fixed at a separation of 20.0 cm . Find the point(s) on the line AB at which the

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44

Two particles A and B , possessing charges of +2.00 10⁻⁶ C and -4.00 10⁻⁶ C respectively, are held fixed at a separation of 20.0 cm . Find the point(s) on the line AB at which the

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45

At a distance of 40 cm from a point charge, the electric field has a magnitude of 5.0 N C ⁻¹ . Determine the magnitude of the charge.

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46

A water particle with a mass of 10.0 mg and a charge of 1.50 10⁻⁶ C remains suspended in a room. Determine the magnitude and direction of the electric field in the room.

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47

Three identical charges, each with a value of 1.0 10⁻⁸ C , are situated at the corners of an equilateral triangle having a side length of 20 cm . Determine the electric field and p

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48

A positive charge Q is distributed uniformly over a circular ring of radius R . A particle having a mass m and a negative charge q is placed on its axis at a distance x from the ce

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49

A rod of length L carries a total charge Q distributed uniformly along its length. The rod is bent into the shape of a semicircle. Determine the magnitude of the electric field at

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50

A rod of length 10 cm carries a charge of +50 C uniformly distributed along its length. Determine the magnitude of the electric field at a point located 10 cm from both ends of the

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51

For a uniformly charged ring of radius R , determine the distance from its centre along the axis where the electric field achieves its maximum value.

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52

A wire is shaped into a regular hexagon, and a total charge q is uniformly distributed along it. Determine the electric field at the centre. You can answer this without performing

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53

A circular wire-loop of radius a carries a total charge Q uniformly distributed over its length. A small segment of length dL is cut off from the wire. Determine the electric field

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54

A positive charge q is situated at a distance d from the centre of a solid conducting cube. Determine the electric field at the centre of the cube produced by the charges appearing

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55

A pendulum bob having a mass of 80 mg and carrying a charge of 2 10⁻⁸ C remains at rest in a uniform horizontal electric field of 20 kV m ⁻¹ . Determine the tension in the thread.

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56

A particle having mass m and charge q is projected with a speed u against a uniform electric field E . Determine the distance it will cover before coming to momentary rest.

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57

A particle with a mass of 1 g and a charge of 2.5 10⁻⁴ C is released from rest within an electric field of 1.2 10^4 N C ⁻¹ . Determine the respective magnitudes of the electric for

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58

A particle with a mass of 1 g and a charge of 2.5 10⁻⁴ C is released from rest within an electric field of 1.2 10^4 N C ⁻¹ . Determine the time it will take for the particle to cov

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59

A particle with a mass of 1 g and a charge of 2.5 10⁻⁴ C is released from rest within an electric field of 1.2 10^4 N C ⁻¹ . Determine the speed of the particle after it has travel

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60

A particle with a mass of 1 g and a charge of 2.5 10⁻⁴ C is released from rest within an electric field of 1.2 10^4 N C ⁻¹ . Compute the work done by the electric force on the part

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61

A ball having a mass of 100 g and a charge of 4.9 10⁻⁵ C is released from rest into an area containing a horizontal electric field of 2.0 10^4 N C ⁻¹ . Describe the path taken by t

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62

A ball having a mass of 100 g and a charge of 4.9 10⁻⁵ C is released from rest into an area containing a horizontal electric field of 2.0 10^4 N C ⁻¹ . Determine the resultant forc

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63

A ball having a mass of 100 g and a charge of 4.9 10⁻⁵ C is released from rest into an area containing a horizontal electric field of 2.0 10^4 N C ⁻¹ . Where will the ball be locat

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64

The bob of a simple pendulum possesses a mass of 40 g and a positive charge of 4.0 10⁻⁶ C . It completes 20 oscillations in 45 s . A vertical electric field of magnitude 2.5 10^4 N

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65

Resting on a smooth horizontal table, a block of mass m with a charge q is connected to a wall by an unstressed spring having a spring constant k , as illustrated in the figure. Su

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66

A block of mass m carrying a net positive charge q is positioned on a smooth horizontal table that ends at a vertical wall, as shown in the figure. The block's distance from the wa

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67

A uniform electric field of 10 N C ⁻¹ exists in the vertically downward direction. Determine the increase in the electric potential when moving upward through a height of 50 cm .

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68

To move a charge of 0.01 C from point A to point B against an existing electric field, 12 J of work must be performed. What is the potential difference V_B - V_A ?

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69

Two equal charges, each of 2.0 10⁻⁷ C , are kept fixed at a separation of 20 cm . A third charge of equal magnitude is initially positioned midway between the two charges. It is su

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70

An electric field of 20 N C ⁻¹ is present along the x -axis in space. Calculate the potential difference V_B - V_A when the points A and B are given by: (a) A = (0, 0) ; B = (4 m ,

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71

An electric field of 20 N C ⁻¹ is present along the x -axis in space. A charge of -2.0 10⁻⁴ C is transported from point A to point B . Determine the change in electrical potential

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72

An electric field E = ( i 20 + j 30) N C ⁻¹ exists in a region of space. Assuming the potential at the origin is taken to be zero, determine the potential at the point (2 m , 2 m )

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73

An electric field given by E = i Ax is present in a region of space, where A = 10 V m ⁻² . If the potential at (10 m , 20 m ) is assumed to be zero, calculate the potential at the

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74

The electric potential in a region of space is given by V(x, y, z) = A(xy + yz + zx) . Determine the dimensional formula of A .

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75

The electric potential in a region of space is given by V(x, y, z) = A(xy + yz + zx) . Given that A is 10 SI units, determine the magnitude of the electric field at the point (1 m

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76

Two charged particles, each carrying a charge of 2.0 10⁻⁵ C , are moved from infinity to a separation of 10 cm . Determine the increase in the electric potential energy during this

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77

The electric potential in a region of space is described by V(x, y, z) = A(xy + yz + zx) . Find the expression for the electric field.

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78

Certain equipotential surfaces are depicted in the figure. Determine the magnitude and direction of the electric field in both situations.

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79

A circular ring of radius r is uniformly charged with a linear charge density . Determine the electric potential at a point on the axis located at a distance x from the centre of t

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80

As shown in the figure, an electric field of magnitude 1000 ext N C ⁻¹ is established between two parallel plates separated by a distance of 2.0 ext cm . Evaluate the following: (i

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81

A uniform field of 2.0 N C ⁻¹ exists in space in the x -direction. Assuming the potential at the origin is zero, determine the expression for the potential at an arbitrary point (x

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82

A uniform field of 2.0 N C ⁻¹ exists in space in the x -direction. Taking the potential at the origin to be zero, at which points is the potential equal to 25 V ?

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83

A uniform field of 2.0 N C ⁻¹ exists in space in the x -direction. Determine the potential at the origin if the potential at infinity is taken to be zero, and state whether this ch

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84

As a charged particle travels from a point at a potential of 100 V to a point at 200 V , its kinetic energy decreases by 10 J . Determine the charge on the particle.

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85

Calculate the work required to assemble three charged particles at the vertices of an equilateral triangle, as shown in the figure.

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86

A uniform field of 2.0 N C ⁻¹ exists in space in the x -direction. If the potential at the origin is set to 100 V , determine the expression for the potential at an arbitrary point

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87

Two identical particles, each with a mass of 10 g and a charge of 2.0 10⁻⁴ C , are held at a separation of 10 cm and subsequently released. Determine the speeds of the particles wh

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88

Two particles, each with a mass of 50 g , possess opposite charges of +4.0 10⁻⁵ C and -4.0 10⁻⁵ C . They are released from rest when the separation between them is 1.0 m . Determin

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89

A sample of HCl gas is placed within an electric field of 2.5 10^4 N C ⁻¹ . The dipole moment of each HCl molecule is 3.4 10⁻³⁰ C m . Determine the maximum torque that can act on a

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90

Two particles A and B , possessing opposite charges of +2.0 10⁻⁶ C and -2.0 10⁻⁶ C , are positioned at a separation of 1.0 cm . Determine the electric dipole moment of this pair.

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91

Two particles A and B , possessing opposite charges of +2.0 10⁻⁶ C and -2.0 10⁻⁶ C , are positioned at a separation of 1.0 cm . Determine the electric field at a point located on t

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92

Three charges are placed at the vertices of an equilateral triangle as illustrated in the figure. Determine the dipole moment of the combination.

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93

Determine the magnitude of the electric field at point P in the configurations illustrated in the figure for d a . Assume 2qa = p .

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94

Two particles with charges -q and +q , each having mass m , are attached to the ends of a light rod of length a to form a dipole. One end of the rod is clamped, and the system is p

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95

Estimate the number of free electrons in a copper wire possessing a mass of 64 g , assuming that each atom contributes one free electron (take the atomic weight of copper as 64 g m

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96

Two particles A and B , possessing opposite charges of +2.0 10⁻⁶ C and -2.0 10⁻⁶ C , are positioned at a separation of 1.0 cm . Evaluate the electric field at a point located on th

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97

If an electric dipole is positioned in a uniform electric field, the net electric force exerted on the dipole

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98

A few electric field lines corresponding to a particular electric field are illustrated in the figure. The diagram implies that

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99

A point charge q is rotated along a circular path within the electric field produced by a second point charge Q . During one complete revolution, the work done by the electric fiel

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100

If the separation distance between two charges is increased, their electric potential energy

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101

At the origin, the electric field is directed along the positive x -axis. A small circle centred at the origin intersects the axes at points A , B , C , and D , which have coordina

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102

Observe the setup illustrated in the figure. The work performed in moving a point charge from P to A is W_A , from P to B is W_B , and from P to C is W_C .

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103

When a body is charged by rubbing, its weight

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104

Two identical positive charges are positioned at points A and B . As one travels from A to B , the electric potential at locations between A and B (excluding the exact locations of

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105

When a positive charge is moved from a region of lower potential to a region of higher potential, its electric potential energy

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106

Identify the correct statement.

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107

As one travels along the x -axis from x = -1 cm to x = +1 cm , the electric potential decreases uniformly from 120 V to 80 V . Which of the following is true regarding the electric

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108

When a point charge is placed within an electric field, the electric field at a nearby point

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109

Let E and V respectively denote the electric field and electric potential at a given point.

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110

An electric dipole is placed within an electric field produced by a point charge.

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111

Which of the following quantities are independent of the choice of zero potential or zero potential energy?

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112

A proton and an electron are placed within a uniform electric field.

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113

In a certain region, the electric field is directed outward and is proportional to the distance r from the origin. Assuming the electric potential at the origin is zero, the electr

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