Electrostatic Fields: Master the Fundamentals of Electromagnetics

Question 1

In Coulomb's Law, the electric force between two point charges is directly proportional to which of the following?

Accepted Answer

The product of their charges

Answer

The square of the distance between the charges

Answer

The difference in their charges

Answer

The sum of their charges

Question 2

What is the definition of electric potential at a point in space?

Accepted Answer

The work done per unit charge in moving a positive charge from infinity to that point

Answer

The force experienced by a unit positive charge at that point

Answer

The electric field intensity at that point

Answer

The charge density at that point

Question 3

What is the relationship between electric flux density and electric field intensity in a dielectric material?

Accepted Answer

D = εE

Answer

D = E/ε

Answer

E = D/ε

Answer

E = εD

Question 4

What is the characteristic of the electric field intensity between two parallel plates with equal and opposite charges?

Accepted Answer

Uniform and non-zero

Answer

Zero

Answer

Non-uniform and non-zero

Answer

Cannot be determined without additional information

Question 5

Gauss's Law relates the divergence of the electric field intensity to which quantity?

Accepted Answer

Charge density

Answer

Electric potential

Answer

Magnetic field intensity

Answer

Current density

Question 6

In electrostatics, Laplace's equation applies to the electric potential in a region with what characteristic?

Accepted Answer

No charges present

Answer

Uniform charge distribution

Answer

Linear charge distribution

Answer

Non-uniform charge distribution

Question 7

What is the accurate definition of electric potential?

Accepted Answer

Electric potential is a scalar quantity representing the potential energy per unit charge at a specific point.

Answer

Electric potential is a vector quantity indicating the force acting on a unit charge.

Answer

Electric potential is constant and independent of charge distribution.

Question 8

For a perfect conductor, what is the boundary condition for the electric field intensity tangent to the surface?

Accepted Answer

Zero

Answer

Non-zero and parallel to the surface

Answer

Non-zero and perpendicular to the surface

Question 9

At a point due to a point charge, the electric potential is:

Accepted Answer

Directly proportional to the charge and inversely proportional to the distance.

Answer

Directly proportional to the charge and directly proportional to the distance.

Answer

Directly proportional to the square of the charge and inversely proportional to the distance.

Answer

Inversely proportional to the charge and inversely proportional to the distance.

Question 10

Which of the following materials exhibits good electrical conductivity?

Accepted Answer

Copper

Answer

Rubber

Answer

Glass

Answer

Wood

Question 11

Gauss's law in electrostatics states that:

Accepted Answer

The total electric flux through any closed surface is proportional to the charge enclosed by the surface.

Answer

The total magnetic flux through any closed surface is zero.

Answer

The curl of the electric field intensity is proportional to the current density.

Answer

The divergence of the electric displacement is proportional to the charge density.

Question 12

The SI unit of electric field intensity is:

Accepted Answer

V/m

Answer

C/m^2

Answer

A/m

Answer

W/m

Question 13

The relationship between the electric field intensity (E) and the electric potential (V) is given by:

Accepted Answer

The gradient of V is equal to E.

Answer

The divergence of E is equal to V.

Answer

The curl of V is equal to E.

Answer

The Laplacian of V is equal to E.

Question 14

The permittivity of free space is approximately:

Accepted Answer

8.85 x 10^-12 F/m

Answer

1.256 x 10^-6 H/m

Answer

3 x 10^8 m/s

Answer

9 x 10^9 N m^2/C^2

Question 15

Which Maxwell's equation describes the relationship between the curl of the electric field intensity (E) and the changing magnetic flux density (B) in electrostatics?

Accepted Answer

Faraday's law of induction (∇×E=−∂B/∂t)

Answer

Gauss's law (∇⋅E=ρ/ε₀)

Answer

Ampère's circuital law with Maxwell's addition (∇×B=μ₀(J+∂D/∂t))

Answer

Gauss's law for magnetism (∇⋅B=0)

Question 16

The fundamental law governing electrostatic interactions is:

Accepted Answer

Coulomb's Law

Answer

Ampere's Law

Answer

Faraday's Law

Answer

Gauss's Law

Question 17

The electric field intensity at a point is defined as the:

Accepted Answer

Force per unit charge at that point

Answer

Charge per unit area at that point

Answer

Potential per unit distance at that point

Answer

Energy per unit volume at that point

Question 18

A boundary condition for electric potential states that:

Accepted Answer

Potential is continuous across a boundary

Answer

Normal component of electric field is continuous across a boundary

Answer

Tangential component of electric field is continuous across a boundary

Answer

Both normal and tangential components of electric field are continuous across a boundary

Question 19

The potential difference between two points in an electric field is:

Accepted Answer

Work done per unit charge in moving from one point to another

Answer

Charge per unit distance between the points

Answer

Electric field intensity between the points

Answer

Energy stored per unit volume between the points

Question 20

The electric field intensity around a point charge q is given by:

Accepted Answer

kq/r^2

Answer

-kq/r^2

Answer

kq^2/r

Answer

-kq^2/r

Question 21

The divergence of the electric field intensity is equal to:

Accepted Answer

Charge density

Answer

Zero

Answer

Electric potential

Answer

Electric flux density

Question 22

Which of the following materials has a high electrical conductivity?

Accepted Answer

Copper

Answer

Rubber

Answer

Wood

Answer

Glass

Question 23

The electric potential energy of a system of charges is:

Accepted Answer

The sum of the work done in bringing the charges from infinity to their current positions

Answer

The sum of the charges multiplied by their corresponding potentials

Answer

The difference between the highest and lowest potentials in the system

Answer

The average of the potentials of all the charges

Question 24

According to Gauss's Law, the total electric flux passing through a closed surface is directly proportional to:

Accepted Answer

Total charge enclosed within the surface

Answer

Surface area

Answer

Electric field intensity at the surface

Question 25

The SI unit of electric potential is:

Accepted Answer

Volt

Answer

Coulomb

Answer

Joule

Answer

Farad

Question 26

Coulomb's law states that the force between two point charges is directly proportional to:

Accepted Answer

The product of the charges

Answer

The square of the distance between them

Answer

The sum of the charges

Answer

The difference in their potentials

Question 27

The electric field intensity at a point is defined as the:

Accepted Answer

Force experienced by a unit positive charge placed at that point

Answer

Potential difference between that point and infinity

Answer

Charge density at that point

Answer

Conductivity of the medium at that point

Question 28

A capacitor primarily stores:

Accepted Answer

Electric energy

Answer

Electric charge

Answer

Magnetic flux

Answer

Magnetic energy

Question 29

A resistor in an electric circuit primarily:

Accepted Answer

Limits current flow

Answer

Stores energy

Answer

Generates voltage

Answer

Amplifies signals

Question 30

The unit of inductance in the SI system is:

Accepted Answer

Henry

Answer

Ohm

Answer

Farad

Answer

Tesla

Question 31

The magnetic flux density in a material is directly proportional to:

Accepted Answer

Magnetic field intensity

Answer

Current density

Answer

Electric field intensity

Answer

Charge density

Question 32

In electrostatics, which quantity is a vector?

Accepted Answer

Electric Field Intensity

Answer

Electric Potential

Answer

Electric Charge

Answer

Electric Current

Question 33

Which of the following expresses Coulomb's law accurately?

Accepted Answer

Force (F) between two point charges (q1 and q2) separated by a distance (r) is given by F = k * (q1 * q2) / r^2, where k is the Coulomb constant.

Answer

Force (F) between two point charges (q1 and q2) separated by a distance (r) is given by F = k * (q1 - q2) / r^3.

Answer

Force (F) between two point charges (q1 and q2) separated by a distance (r) is given by F = k * q1 / r^2.

Answer

Force (F) between two point charges (q1 and q2) separated by a distance (r) is given by F = k * (q1 + q2) / r.

Question 34

What is the electric potential (V) at a point in space due to a point charge (q) located at a distance (r) from that point?

Accepted Answer

V = k * q / r, where k is the Coulomb constant.

Answer

V = k * q * r

Answer

V = r / k * q

Answer

V = q / k * r

Question 35

Which boundary condition applies to the tangential component of the electric field intensity (E) at the surface of a conductor?

Accepted Answer

The tangential component of E is zero at the conductor surface.

Answer

The curl of E is zero at the conductor surface.

Answer

The normal component of E is zero at the conductor surface.

Answer

The divergence of E is zero at the conductor surface.

Question 36

What is the electric field intensity (E) inside a uniformly charged sphere of radius R?

Accepted Answer

E is zero inside the sphere.

Answer

E is proportional to the distance from the center of the sphere.

Answer

E is inversely proportional to the square of the distance from the center of the sphere.

Answer

E is constant and non-zero inside the sphere.

Question 37

Which method is commonly used to solve Laplace's equation in electrostatics?

Accepted Answer

Method of images

Answer

Gauss's law

Answer

Poisson's equation

Answer

Ampere's law

Question 38

What is the electric flux (Φ) through a closed surface enclosing a point charge (q)?

Accepted Answer

Φ = 4πk * q, where k is the Coulomb constant.

Answer

Φ = πk * q

Answer

Φ = 2πk * q

Question 39

Which of the following materials is categorized as an electrical insulator?

Accepted Answer

Rubber

Answer

Aluminum

Answer

Water

Answer

Copper

Question 40

For a parallel-plate capacitor with vacuum as the dielectric, what is the capacitance (C)?

Accepted Answer

C = ε₀ * A / d, where ε₀ is the permittivity of vacuum, A is the area of the plates, and d is the distance between the plates.

Answer

C = ε₀ * A * d

Answer

C = A / ε₀ * d

Answer

C = d / ε₀ * A

Question 41

What is the electric potential (V) due to an infinite line charge with charge density (λ) located at a perpendicular distance (r) from the line charge?

Accepted Answer

V = (k * λ) / r, where k is the Coulomb constant.

Answer

V = r / (k * λ)

Answer

V = (k * λ) * r

Answer

V = λ / (k * r)

Question 42

The SI unit of electric potential is the:

Accepted Answer

Volt

Answer

Ampere

Answer

Coulomb

Answer

Farad

Question 43

The electric field intensity at a distance 'r' from a point charge 'Q' is given by:

Accepted Answer

kQ/r^2

Answer

kQ/r

Answer

-kQ/r

Answer

-kQ/r^2

Question 44

The energy stored in a capacitor with capacitance 'C' charged to a voltage 'V' is:

Accepted Answer

1/2 CV^2

Answer

CV

Answer

2CV

Answer

1/4 CV^2

Question 45

Which of the following materials is a good electrical conductor?

Accepted Answer

Copper

Answer

Wood

Answer

Rubber

Answer

Glass

Question 46

In a charge-free region in electrostatics, the divergence of the electric field intensity is:

Accepted Answer

Zero

Answer

Negative

Answer

Positive

Answer

Infinite

Question 47

The electric displacement 'D' in a dielectric material with dielectric constant 'k' subjected to an electric field 'E' is:

Accepted Answer

kE

Answer

E/k

Answer

0

Answer

E

Question 48

The potential difference between two points A and B in an electric field is defined as the:

Accepted Answer

Work done in moving a unit positive charge from A to B

Answer

Charge present between A and B

Answer

Energy stored in the field between A and B

Answer

Electric field intensity between A and B

Question 49

An example of a practical application of electrostatics is:

Accepted Answer

Electrostatic precipitators

Answer

Transistors

Answer

Transformers

Answer

Electric motors

Question 50

Inside a hollow conducting sphere with charge 'Q', the electric field intensity is:

Accepted Answer

Zero

Answer

Proportional to 'r^2'

Answer

Proportional to 'r'