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Six charges are placed at the corner of a regular hexagon as shown. If an electron is placed at its centre O, force on it will be
  • a)
    Zero
  • b)
    Along OF
  • c)
    Along OC
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
The charges will be balanced by their counterparts on the opposite side. So, eventually the charges remaining will be 2q and b and 3q on D.
Since the charge distribution is asymmetrical, the net force on charge would be skewed towards D.
 

Can you explain the answer of this question below:
A charge q is placed at the centre of the open end of cylindrical vessel whose height is equal to its radius. The electric flux of electric field of charge q through the surface of the vessel is
  • A:
    0
  • B:
  • C:
  • D:
The answer is b.

Lavanya Menon answered
Given that, A charge q is placed at the centre of open end Q a cylindrical vessel,we have to find the flux through the surface of the vessel.
so, when charge Q is placed at the centre of open end of a cylindrical vessel then only half of the charge will contribute to the flux, because half will lie inside the surface and half will lie outside the surface.
so, flux through the surface of vessel is q/2ε0

If the electric field is given by; calculate the electric flux through as surface of area 10 units lying in y-z plane.​
  • a)
    50 units
  • b)
    40 units
  • c)
    60 units
  • d)
    30 units
Correct answer is option 'C'. Can you explain this answer?

EduRev JEE answered
As surface of area lies in the Y-Z plane, thus its area vector points in X direction i.e.   A=10i
Electric flux    ϕ=E.A
∴   ϕ=(6i+3j​+4k).(10i)
⟹   ϕ=6×10=60 unit

A particle of mass m and charge Q is placed in an electric field E which varies with time t ass E = E0 sinwt. It will undergo simple harmonic motion of amplitude
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Preeti Iyer answered
Due to verifying electric field, it experiences an verifying force :-
F=QE=QE0​sinωt
at maximum amplitude A, it experience a maximum force of:-
Fmax​=QE0​
also, Restoring force in SHM is given by: - F=mω2x
for amplitude, x=A OR,
2A=QE0​
⇒A= QE0/mω2

Which of the following molecule has permanent dipole moment?​
  • a)
    HCl
  • b)
    CO2
  • c)
    CH4
  • d)
    BF3
Correct answer is option 'A'. Can you explain this answer?

Manoj Chauhan answered
Explanation:
A permanent dipole moment is created when there is an electronegativity difference between two non-identical atoms, resulting in an uneven distribution of charge. The molecule acquires a positive and negative end, creating a dipole moment.

HCl molecule has a permanent dipole moment because of the difference in electronegativity between H and Cl atoms. Chlorine has a higher electronegativity than hydrogen. Therefore, the electrons in the covalent bond are drawn closer to the chlorine atom, resulting in a partial negative charge on the chlorine atom and a partial positive charge on the hydrogen atom. Thus, HCl has a dipole moment.

On the other hand, CO2, CH4, and BF3 do not have a permanent dipole moment because they are symmetrical molecules where the electronegativity of the atoms is the same. In CO2, the electronegativity of the carbon and oxygen atoms is the same, so the molecule has no dipole moment. In CH4, the four hydrogen atoms are arranged symmetrically around the carbon atom, resulting in no net dipole moment. Similarly, in BF3, the three fluorine atoms are arranged symmetrically around the boron atom, resulting in no net dipole moment.

Therefore, the correct option is A, HCl, which has a permanent dipole moment due to the difference in electronegativity between H and Cl atoms.

Two charges 4q and q are placed 30 cm. apart. At what point the value of electric field will be zero
  • a)
    10 cm. away from q and between the charge
  • b)
    10 cm. away from 4q and out side the line joining them.
  • c)
    20 cm. away from 4q and between the charge
  • d)
    none
Correct answer is option 'C'. Can you explain this answer?

Hansa Sharma answered
Where E=0 this point is called neutral point.
it is the point where electric field of both charge is same
we know tha t E=kQ/r^2
here k=1/4pi€
for 4q charge
let at ''a'' distance we get E=0 which is from q charge
so distance from 4q of 'a' point is 30-a
electric field by 4q charge on a is
E=k4q/(30-a)^2
electric field by q charge on a point
E=kq/a^2
both electric field are equal so put them equal
k4q/(30-a)^2=kq/a^2
solve this we get
4a^2=(30-a)^2
2a=30-a
3a=30
a=10
so at a distance 10cm from charge q we get E=0
distance from 4q charge 30-10=20cm.
 

Can you explain the answer of this question below:

At what point is the electric field intensity due to a uniformly charged spherical shell is maximum?

  • A:

    at the surface of spherical shell

  • B:

    outside the spherical shell

  • C:

    inside the spherical shell

  • D:

    at the centre of spherical shell

The answer is a.

This is because of when a charge given to a hollow sphere that is spherical shell then all charges will reside on its surface and as we know that electric field is directly proportional to given charge . so according to this concept we can say about this point.

Can you explain the answer of this question below:

The electric field intensity due to a sphere (solid or hollow) at an external point varies as-​

  • A:

    1/r

  • B:

    does not depend upon r

  • C:

    1/r3

  • D:

    1/r2

The answer is d.

Agnal Jose answered
It followw inverse square law as distance of observational point from source charge increases the electric field intensity decreases hence option d is correct

Ratio of the permittivity of medium to the permittivity of free space is known as
  • a)
    Dielectric ratio
  • b)
    Dielectric permittivity
  • c)
    Dielectric constant
  • d)
    Dielectric medium
Correct answer is option 'C'. Can you explain this answer?

Hansa Sharma answered
The ratio of a medium's permittivity to the permittivity of free space is known as the dielectric constant or relative permittivity. The equation for relative permittivity is κ = ϵ/ϵ0, where ϵ is the permittivity of the medium and ϵ0 is the permittivity of free space. Both permittivity and the permittivity of free space have the same unit, farads per meter (F/m), so the dielectric constant is dimensionless. 

If an excess charge is placed on an isolated conductor, then, that amount of charge
  • a)
    gets neutralized.
  • b)
    resides on the surface of conductor.
  • c)
    either resides on the surface of conductor or gets neutralized.
  • d)
    move inside the conductor
Correct answer is option 'B'. Can you explain this answer?

Anaya Patel answered
An isolated conductor is any metal object not connected to or not in contact with any other conductor . one of its common properties is that there is no charge of any nature within the surface of the conductor. All charge, if any, always resides on the outer surface only.thus , if we place any amount of charge, it would tend to reside on its surface.

Can you explain the answer of this question below:

What will be the value of a charge q, such that when it is placed at the centre of two equal and like charges Q, the three charges are in equilibrium.

  • A:

    +Q/4

  • B:

    Q

  • C:

    -Q/4

  • D:

    Q/2

The answer is c.

Answer will be but obvious in negative because as it attracts from both sides than only they will cancel out and system will be in equilibrium so one option is only negativeoption chope u understood😀😀😀👍👍👍💯💯💯

Which one of the following statement regarding electrostatics is wrong ?
  • a)
    Charge is quantized
  • b)
    Charge is conserved
  • c)
    There is an electric field near an isolated charge at rest
  • d)
    A stationary charge produces both electric and magnetic fields
Correct answer is 'D'. Can you explain this answer?

Nandita Ahuja answered
Explanation:

Electrostatics is the study of electric charges at rest. It deals with the electric forces between charges, the electric field and potential, and the distribution of charges on conductors.

a) Charge is quantized:
The charge on a body or a particle is always a multiple of the elementary charge (1.6 × 10^-19 C). This means that charge is quantized, and we cannot have a fraction of an elementary charge. This is known as the law of conservation of charge.

b) Charge is conserved:
The total charge in a closed system is always conserved. This means that the net charge of a system cannot be created or destroyed; it can only be transferred from one object to another.

c) There is an electric field near an isolated charge at rest:
An isolated charged object creates an electric field around it. This electric field is a vector field that exerts a force on other charged objects in the vicinity of the charged object. The electric field is proportional to the charge and inversely proportional to the distance from the charged object.

d) A stationary charge produces both electric and magnetic fields:
This statement is incorrect. A stationary charge produces only an electric field, not a magnetic field. However, a moving charge produces both electric and magnetic fields.

Conclusion:
Hence, the correct option is (d), which is wrong.

The linear charge densities of two infinitely long thin and parallel wires are 4Cm−1, 8Cm−1 and separation between them is 4 cm. Then the electric field intensity at mid point on the line joining them is
  • a)
    18 × 1011 NC−1
  • b)
    36 × 1011NC−1
  • c)
    9 × 1011NC−1
  • d)
    72 × 1011 NC−1
Correct answer is option 'B'. Can you explain this answer?

Ashutosh Malik answered
Given Data
- Linear charge density of wire 1 (λ1) = 4 C/m
- Linear charge density of wire 2 (λ2) = 8 C/m
- Separation between wires (d) = 4 cm = 0.04 m
Electric Field Due to a Wire
The electric field (E) due to an infinitely long straight wire with linear charge density λ at a distance r from the wire is given by the formula:
E = (λ / (2 * π * ε0 * r))
where ε0 = 8.85 × 10^-12 C^2/(N·m^2) is the permittivity of free space.
Midpoint Calculation
- The distance from each wire to the midpoint (r) = d/2 = 0.02 m
Electric Fields Calculation
1. Electric Field from Wire 1 (E1)
E1 = (λ1 / (2 * π * ε0 * r))
= (4 / (2 * π * 8.85 × 10^-12 * 0.02))
2. Electric Field from Wire 2 (E2)
E2 = (λ2 / (2 * π * ε0 * r))
= (8 / (2 * π * 8.85 × 10^-12 * 0.02))
Direction of Electric Fields
- E1 points away from wire 1 (to the right).
- E2 points away from wire 2 (to the left).
At the midpoint, since E1 and E2 are in opposite directions, they add up:
Total Electric Field (E_total)
E_total = E1 + E2
Calculating E1 and E2 yields:
- E1 = 9 × 10^11 N/C
- E2 = 18 × 10^11 N/C
Therefore,
E_total = 9 × 10^11 + 18 × 10^11 = 27 × 10^11 N/C, but since they are in opposite directions:
E_total = 36 × 10^11 N/C.
Conclusion
Thus, the electric field intensity at the midpoint is:
Correct answer: b) 36 × 10^11 N/C.

The Gaussian surface for a point charge will be
  • a)
    Cube
  • b)
    Cylinder
  • c)
    Sphere
  • d)
    Cuboid
Correct answer is option 'C'. Can you explain this answer?

Rahul Bansal answered
The electric field of a sphere of uniform charge density and total charge charge Q can be obtained by applying Gauss' law. Considering a Gaussian surface in the form of a sphere at radius r > R, the electric field has the same magnitude at every point of the surface and is directed outward.

When a negatively charged conductor is connected to earth,
  • a)
    No charge flow occurs.
  • b)
    Protons flow from the conductor to the earth.
  • c)
    Electrons flow from the earth to the conductor.
  • d)
    Electrons flow from the conductor to the earth.
Correct answer is option 'D'. Can you explain this answer?

Riya Banerjee answered
Explanation:
When a negatively charged conductor is connected to the earth, electrons will flow from the conductor to the earth. This is because electrons have a negative charge and they will be repelled from the negatively charged conductor and attracted to the positively charged earth. As electrons flow from the conductor to the earth, the negative charge on the conductor will gradually decrease until it becomes neutral.
  • Option A is incorrect because charge flow does occur when a negatively charged conductor is connected to the earth.
  • Option B is incorrect because protons have a positive charge and they are not free to move in a conductor.
  • Option C is incorrect because electrons flow from the earth to the conductor, not the other way around.

The Gaussian surface for a line charge will be
  • a)
    Sphere
  • b)
    Cylinder
  • c)
    Cube
  • d)
    Cuboid
Correct answer is option 'B'. Can you explain this answer?

Rajeev Saxena answered
Electric Field of Line Charge. The electric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward.

Can you explain the answer of this question below:

A small circular ring has a uniform charge distribution. On a far-off axial point distance x from the centre of the ring, the electric field is proportional to

  • A:

    x-1 

  • B:

    x-3/2

  • C:

    x-2

  • D:

    x5/4

The answer is C.

Lavanya Menon answered
Electric field due to a charged ring in given by: -
at point p
∣​E∣​= KQx​ /(R2+x2)3/2        Q =λ(2πr)
at a large distance, x≫R, so :- R2+x2≃x2
⇒∣​E∣​= K&x​/(x2)3/2=KQ/x2​=Eαx−2
so at a large distance, the ring behaves as a point particle.

The force between two charges is 120 N. If the distance between the charges is doubled, the force will be
  • a)
    60 N
  • b)
    30 N
  • c)
    40 N
  • d)
    15 N
Correct answer is option 'B'. Can you explain this answer?

Gaurav Kumar answered
Coulombs law states the force between two charged particles is directly proportional to the product of charges and inversely proportional to the square of distance between them.
So if the distance is doubled then the force would decrease 4 times.
So the new force would be 120/4=30 Newton.

A dipole is said to be in stable equilibrium when angle between electric field and dipole moment is:​
  • a)
  • b)
    45°
  • c)
    180°
  • d)
    90°
Correct answer is option 'A'. Can you explain this answer?

Preeti Iyer answered
A dipole in stable equilibrium, when Electric filed and dipole moment are perpendicular to each other i.e. the angle between them is zero degree and torque will be maximum.

For uniform electric field, field lines are:
  • a)
    Divergent
  • b)
    Convergent
  • c)
    Parallel and equally spaced
  • d)
    Convergent then divergent
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
Uniform field lines imply that every point in space has same magnitude and direction of Electric Field. It is represented by parallel and equally spaced arrows in the direction of electric field

A charged particle of charge q and mass m is released from rest in an uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after time 't' seconds is
  • a)
  • b)
  • c)
     
  • d)
Correct answer is option 'B'. Can you explain this answer?

Vivek Rana answered
Force on particle=F=qE
Hence, acceleration of particle=a=F/m​=qE/m​
Initial speed=u=0
Hence, final velocity=v=u+at=qEt/m​
Kinetic energy=K=(1/2)​mv2=(1/2)​m(qEt/m​)2
⟹K=E2q2t2​/2m

Can you explain the answer of this question below:

The flux associated with a spherical surface is .  What will be the flux, if the radius of the spherical shell is doubled?​

  • A:

    it will remains unchanged.

  • B:

    It will be the half of the previous one.

  • C:

    It will become zero.

  • D:

    It will also get doubled.

The answer is a.

Rahul Bansal answered
Electric flux is directly proportional to the number of electric field lines passing through a surface. The number of field lines passing through a surface become 1/4th when radius of the Gaussian surface is doubled, but at the same time, the surface area has increased 4 fold, so the electric flux remains unchanged

The field lines for single positive charge are:
  • a)
    Parallel
  • b)
    Radiating inwards
  • c)
    Circular
  • d)
    Radiating outwards
Correct answer is option 'D'. Can you explain this answer?

Preeti Iyer answered
Radially outward for +ve charge because it's symmetric. Charges are assumed to be spherical in shape and hence if you apply Gauss law, assuming a spherical Gaussian surface, the electric field MUST be uniformly distributed. Hence they're radial.

Two identical positive charges are fixed on the y-axis, at equal distances from the origin O. A particle with a negative charge starts on the x-axis at a large distance from O, moves along the +x-axis, passes through O and moves far away from O. Its acceleration a is taken as positive along its direction of motion. The particle's acceleration a is plotted against its x-coordinate. Which of the following best represents the plot ?
  • a)
     
  • b)
     
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

New Words answered

Consider the attached free body diagram for the given scenario.
From coulomb's law,
∣F1​∣=∣F2​∣= qQ /4πεo​r2
In y-direction, forces cancel, Fy​=0
In x-direction, forces add up. Also, it is directed in +ve x direction if the position of −q is along −ve x axis and in −ve x direction if the position of −q is along +ve x axis.
Hence, 
Fx​=2qQcosθ​ i /4πεo​r2    ∀ x<0
Fx​=2qQcosθ​ i /4πεo​r2    ∀ x≥0
But cosθ =x/r
       r= √x2+d2​
Substituting in force equation, we get
Fx​=2qQx​ i /4πεo​( x2+d2​)3/2  ∀ x<0
Fx​=2qQx i /4πεo​( x2+d2​)3/2  ∀ x≥0
 
Now, a=F/m​ by Newton's second law. It is positive when x is negative and negative when x is positive. This is satisfied only in option (B).
 

Two positive charges 
  • a)
    repel each other
  • b)
    attract each other at times and repel at other times
  • c)
    attract each other
  • d)
    always attract each other
Correct answer is option 'A'. Can you explain this answer?

Ramesh Chand answered
In contrast to the attractive force between 2 objects with opposite charges , two objects that are of like charge will repel eachother. That is , a positively charged object will exert a repulsive force upon a second positively charged object. This repulsive force will push the two object apart.

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