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All questions of Electric Charges and Fields for Class 12 Exam

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.
 

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
    9.6 x 10C
  • b)
    1.9 x 105 C
  • c)
    3.8 x 105 C
  • d)
    4.8 x 104 C
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
  • He atom has 2 electrons.
  • So, 1 mole of He has 2*N(N is Avogadro's no.) electrons.
  • Then total -ve charge in 1 mole He gas is =  2 * N * charge of 1 electron
    = 2 * (6.022 * 1023) * (1.6 * 10-19) = 1.92 * 105

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

A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface centred at the origin with r = R
  • a)
    Rλ/ε0
  • b)
    2Rλ/ε0
  • c)
    λ/ε0
  • d)
    none of the above
Correct answer is option 'B'. Can you explain this answer?

Nandini Patel answered
The total charge on the body If there are n1 electrons and n2 protons will be |n1-n2|.
Because whichever of the two will be lower in number, will be neautralized by the other and the left electrons/ protons will be the reason for the charge on the body.

Can you explain the answer of this question below:

Charging a metal sphere by contact using a positively charged rod, followed by grounding can result in ________ charge in a metal sphere.

  • A:

    positive

  • B:

    Zero

  • C:

    positive or negative depending on which end is grounded

  • D:

    negative

The answer is b.

Neha Sharma answered
The charge on the rod is shared between the rod and the sphere when they are in contact with each other. However, on grounding the charge will flow to the earth and the charge on the sphere becomes zero

The force between two small charged spheres having charges 3 x 10-6C and 4 x 10-6C placed 40 cm apart in air is​
  • a)
    67.5 x 10-3 N
  • b)
    67.5 x 10-2 N
  • c)
    6.75 x 10-1 N
  • d)
    none
Correct answer is option 'C'. Can you explain this answer?

**Explanation:**

When two charges are placed in close proximity to each other, they exert a force on each other. This force is known as the electrostatic force. The electrostatic force between two charges is governed by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

In this case, we have a positive charge of 1C and a negative charge of -4C. According to Coulomb's Law, the force between these two charges will be attractive because one charge is positive and the other is negative. The force will act along the line connecting the two charges, from the positive charge to the negative charge.

To determine the direction of the force, we can use a simple mnemonic: "like charges repel, opposite charges attract." Since the charges in this scenario are opposite (positive and negative), they will attract each other. Therefore, the force will act from the positive charge (1C) towards the negative charge (-4C).

Hence, the correct answer is option C: "From 1C to -4C."

A negative point charge placed at the point A is
                   
  • a)
     In stable equilibrium along x-axis
  • b)
    In unstable equilibrium along y-axis
  • c)
    in stable equilibrium along y-axis
  • d)
    in unstable equilibrium along x-axis
Correct answer is option 'C,D'. Can you explain this answer?

EduRev Support answered
If the potential energy of the system is minimum, it will be stable equilibrium, i.e , d2U/dx2​>0 and when potential energy is maximum then it will be unstable equilibrium, i.e, d2U/dx2<0. 
As along y direction no electric field, potential energy is minimum and it will be stable equilibrium along y-axis.
Along x-axis potential energy is maximum due to all charges situated along x-axis.so it will be unstable equilibrium.
 

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.
 

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

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.

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 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.

 In space of horizontal EF(E = (mg)/q) exist as shown in figure and a mass m attached at the end of a light rod. If mass m is released from the position shown in figure find the angular velocity of the rod when it passes through the bottom most position.
                       
  • a)
     
  • b)
     
  • c)
     
  • d)
     
Correct answer is option 'B'. Can you explain this answer?

According to the work energy theorem we have
We​+Wg​=(1​/2)mv2
We have work done by electrostatic force as
We​=qElsinθ
and work done by the gravitational force as
Wg​=mg(l−lcosθ)
Thus we get
qElsinθ+mg(l−lcosθ)=(1/2)​mv2
Thus we get
mgsinθ+mgl−mglcosθ=(1/2)​mv2
as θ=45o, we get
mgl=(1/2)​mv2
also as v=ωl
we get
ω=√2g/​​l

In SI units, a unit of charge is called a
  • a)
    ampere
  • b)
    milli coulomb
  • c)
    milli ampere
  • d)
    Coulomb
Correct answer is option 'D'. Can you explain this answer?

Ayush Joshi answered
The coulomb (symbolized C) is the standard unit of electric charge in the International System of Units (SI). It is a dimensionless quantity, sharing this aspect with the mole. A quantity of 1 C is equal to approximately 6.24 x 1018, or 6.24 quintillion.

In terms of SI base units, the coulomb is the equivalent of one ampere-second. Conversely, an electric current of A represents 1 C of unit electric charge carriers flowing past a specific point in 1 s. The unit electric charge is the amount of charge contained in a single electron.

The field lines for single negative charge are:
  • a)
    Radiating outwards
  • b)
    Radiated inwards
  • c)
    Parallel
  • d)
    Spheres concentric with charge
Correct answer is option 'B'. Can you explain this answer?

<b>Field lines for a single negative charge</b>

<b>Explanation:</b>
When considering a single negative charge, the field lines have certain characteristics that can be observed and understood. The correct answer to the question is option 'B', which states that the field lines for a single negative charge radiate inwards. This can be explained in detail as follows:

<b>1. Definition of field lines</b>
- Field lines are a visual representation of the electric field surrounding a charged particle. They indicate the direction and strength of the electric field at different points in space.

<b>2. Characteristics of field lines</b>
- Field lines always start from positive charges and end on negative charges.
- The density of field lines represents the strength of the electric field. Closer field lines indicate a stronger field, while sparser field lines indicate a weaker field.
- Field lines are continuous curves that never intersect each other.

<b>3. Field lines for a single negative charge</b>
- When considering a single negative charge, the field lines start from the charge and extend outward.
- However, since the question asks for the field lines of a single negative charge, the correct answer is option 'B' - the field lines radiate inward towards the charge.
- This is because the field lines originate from imaginary positive charges that would be attracted towards the negative charge.

<b>4. Visualization of field lines</b>
- To visualize the field lines for a single negative charge, one can imagine placing positive test charges at various points around the negative charge.
- The positive test charges will experience a force of attraction towards the negative charge and will follow the path of the electric field lines.
- By observing the path followed by the positive test charges, one can trace the field lines that radiate inward towards the negative charge.

In conclusion, the field lines for a single negative charge radiate inward towards the charge. This indicates the direction and strength of the electric field surrounding the negative charge.

Can you explain the answer of this question below:
If mica and woolen cloth are rubbed together, then mica gets
  • A:
    positively charged
  • B:
    negatively charged
  • C:
    remains neutral
  • D:
    dual charged
The answer is a.

Mira Sharma answered
When Mika (quartz) and wooden cloth are rubbed together then Mika gets Positively charged. It's because of friction. Due to friction one gets Positively charged i.e Mika and other gets Negatively charged i.e Wooden cloth.

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

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.

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.

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. 

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.

Charging a metal sphere by contact using a positively charged rod, followed by grounding can result in ________ charge in a metal sphere.
  • a)
    positive
  • b)
    Zero
  • c)
    positive or negative depending on which end is grounded
  • d)
    negative
Correct answer is option 'B'. Can you explain this answer?

Preeti Iyer answered
The charge on the rod is shared between the rod and the sphere when they are in contact with each other. However, on grounding the charge will flow to the earth and the charge on the sphere becomes zero

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

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Isha Rane answered
He atom has 2 electrons. so 1 mole of He has 2*N(N is Avohadro's no.) electrons. then total -ve charge in 1 mole He gas is 2*N*charge of 1 electron. calculating we will get about 1.9*10^5 C.

 A charged particle having some mass is resting in equilibrium at a height H above the centre of a uniformly charged non-conducting horizontal ring of radius R. The force of gravity acts downwards. The equilibrium of the particle will be stable -
  • a)
    For all values of H
  • b)
    Only if H > 
  • c)
    Only if H < 
  • d)
    Only if H = 
Correct answer is option 'B'. Can you explain this answer?

Hansa Sharma answered
electric field due to non-conducting ring along its axis is given by, 
E=kqz/(Z2+r2)3/2
where z is the separation between point of observation to the centre of the ring, q is the charge on the ring and r is the radius of the ring.
We know, electric field will be maximum only when z = R/√2, meaning at this point the value of force must be maximum. and if we increase the value of z from R/√2 it will decrease and if we decrease the value of z from R/√2 , it will increase.
condition of stable equilibrium,
A small vertical displacement upwards should cause the resultant force on the particle to be downwards, to return it or a small vertical displacement downward should cause the resultant force on the particle to be downward.
hence, at z > R/√2 or, h > R/√2 system will be in stable equilibrium.
 

Two identical point charges are placed at a separation of l.P is a point on the line joining the charges, at a distance x from any one charge. The field at P is E. E is plotted against x for values of x from close to zero to slightly less than l. Which of the following best represents the resulting curve ?
  • a)
     
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?

Vivek Rana answered

At point P, 
E=E1​−E2​ rightward
⟹E=(kq/x2​)−(kq/(l−x)2​)   where k=1/4πϵo​ 
⟹E=kq (l(l−2x)​/x2(l−x)2
From graph we can see that it can't be straight line and E=0 at x=l/2​
At x=0 ,,E→∞  and at x=l, E→−∞
Hence, from the shown graphs the correct answer is (D).
 

Earthing or grounding means
  • a)
    placing the apparatus with an insulating stand, on the ground
  • b)
    connecting to a green colored wire
  • c)
    sharing the charges with the earth
  • d)
    using green color to paint the body
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
Earthing and Grounding are actually different terms for expressing the same concept. Ground or earth in a mains electrical wiring system is a conductor that provides a low impedance path to the earth to prevent hazardous voltages from appearing on equipment. In electrical engineering, ground or earth is the reference point in an electrical circuit from which voltages are measured, a common return path for electric current, or a direct physical connection to the earth.

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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