Electrostatic Potential and Capacitance MCQ

Q: What is the relationship between electric field and electric potential?

The electric field (E) is the negative gradient of the electric potential (V). The formula is: E = - dV / dx.

Q: What is the formula for the potential energy of a system of two point charges?

The potential energy (U) of a system of two point charges (q1 and q2) separated by a distance (r) is given by: U = (1 / 4 * pi * ε₀) * (q1 * q2 / r).

Q: How does the insertion of a dielectric affect the capacitance of a capacitor?

When a dielectric is inserted, the capacitance increases by a factor equal to the dielectric constant (k). The new capacitance is: C = k * C₀, where C₀ is the original capacitance.

Q: What is electrostatic shielding, and how does it work?

Electrostatic shielding occurs when the electric field inside a conductor is zero, protecting the interior from external electric fields. Free charges within the conductor rearrange to cancel the external field.

Question 1

Question 1: What is the key characteristic of a conservative force?

A. It depends on the path taken.B. It does not store energy.C. It allows potential energy to be defined.D. It is stronger than non-conservative forces.

Answer

C. A conservative force allows potential energy to be defined because the work done by or against such a force is path-independent. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 2

Question 2: What physical quantity does Coulomb’s law replace in gravitational force?

A. DistanceB. MassC. ChargeD. Potential energy

Answer

B. Coulomb’s law replaces mass with charge in gravitational force equations. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 3

Question 3: How does potential energy change when a charge moves against an electrostatic force?

A. It increases.B. It decreases.C. It remains constant.D. It becomes zero.

Answer

A. When a charge is moved against an electrostatic force, its potential energy increases. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 4

Question 4: What happens to the energy stored as potential energy when an external force is removed?

A. It remains stored as potential energy.B. It is converted to kinetic energy.C. It becomes zero.D. It increases further.

Answer

B. When the external force is removed, potential energy is converted to kinetic energy as the charge moves. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 5

Question 5: What is the relationship between kinetic and potential energy in a system with conservative forces?

A. Kinetic energy is always greater.B. The sum of kinetic and potential energy is conserved.C. Potential energy is always zero.D. Both energies fluctuate randomly.

Answer

B. In a system with conservative forces, the sum of kinetic and potential energy remains conserved. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 6

Question 6: How does Coulomb’s law differ from gravitational law?

A. It has no inverse-square dependence.B. It involves proportionality with mass.C. It replaces masses with charges.D. It does not follow the principle of superposition.

Answer

C. Coulomb’s law replaces masses in the gravitational law with charges. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 7

Question 7: When a test charge is moved very slowly against the repulsive force of a stationary charge, what happens to the external force applied?

A. It becomes stronger than the electric force.B. It exactly cancels the repulsive electric force.C. It is perpendicular to the electric force.D. It accelerates the test charge.

Answer

B. The external force applied is just enough to exactly cancel the repulsive electric force, resulting in no acceleration. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 8

Question 8: What is the electrostatic potential at a point defined as?

A. The work done in moving a charge from one point to another.B. The work done in moving a unit positive charge from infinity to that point.C. The energy stored at a point due to electric field.D. The force exerted by an electric field on a test charge.

Answer

B. Electrostatic potential at a point is the work done in bringing a unit positive charge from infinity to that point. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 9

Question 9: What is the nature of the work done by an external force in moving a charge in an electrostatic field?

A. It depends on the path taken.B. It is independent of the path taken.C. It is equal to the kinetic energy of the charge.D. It is always positive.

Answer

B. The work done by an external force in moving a charge in an electrostatic field is path-independent. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 10

Question 10: How is the potential difference between two points defined in an electrostatic field?

A. As the difference in kinetic energy at both points.B. As the work done in moving a charge between the two points, independent of the path taken.C. As the energy lost due to resistance.D. As the force exerted by the electric field.

Answer

B. Potential difference is defined as the work done in moving a charge between two points, independent of the path taken. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 11

Question 11: What is the potential at infinity typically assumed to be in electrostatics?

A. PositiveB. NegativeC. InfiniteD. Zero

Answer

D. The potential at infinity is typically assumed to be zero in electrostatics. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 12

Question 12: If a positive charge is brought from infinity to a point in an electrostatic field, what happens to the potential energy?

A. It becomes zero.B. It decreases.C. It increases.D. It remains constant.

Answer

C. The potential energy increases as a positive charge is brought from infinity to a point in an electrostatic field. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 13

Question 13: How does the electrostatic potential energy at a point relate to the work done by external forces?

A. It is equal to the work done in moving the charge from infinity to that point.B. It is always less than the work done.C. It is independent of the work done.D. It decreases as more work is done.

Answer

A. The electrostatic potential energy at a point is equal to the work done by external forces in moving the charge from infinity to that point. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 14

Question 14: What does the potential at a point due to a point charge depend on?

A. The velocity of the charge.B. The distance between the charge and the point.C. The mass of the charge.D. The force acting on the charge.

Answer

B. The potential at a point due to a point charge depends on the distance between the charge and the point. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 15

Question 15: How is the potential at a point due to a single charge calculated?

A. By multiplying the charge with the distance from the point.B. By dividing the charge by the distance from the point.C. By using the formula V = Q / (4 * pi * ε₀ * r).D. By subtracting the electric field from the charge.

Answer

C. The potential at a point due to a single charge is calculated using V = Q / (4 * pi * ε₀ * r), where Q is the charge and r is the distance. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 16

Question 16: What does the superposition principle state regarding potential due to multiple charges?

A. The potentials due to multiple charges are equal.B. The total potential is the sum of potentials due to individual charges.C. The total potential is always less than the sum of individual potentials.D. The total potential is the difference between the highest and lowest potentials.

Answer

B. The superposition principle states that the total potential at a point due to multiple charges is the algebraic sum of potentials due to individual charges. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 17

Question 17: If a charge q is moved from infinity to a point in an electric field, what is the expression for the work done?

A. W = q * VB. W = q * EC. W = q² / rD. W = q / (4 * pi * ε₀ * r)

Answer

A. The work done in moving a charge q from infinity to a point is given by W = q * V, where V is the potential at that point. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 18

Question 18: How is the potential at a point due to multiple charges computed?

A. By averaging the potentials due to each charge.B. By summing the individual potentials.C. By taking the product of the potentials due to each charge.D. By calculating the total force and dividing by the charge.

Answer

B. The potential at a point due to multiple charges is computed by summing the individual potentials from each charge. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 19

Question 19: What happens to the potential when two positive charges are brought close to each other?

A. It increases.B. It decreases.C. It remains the same.D. It becomes zero.

Answer

A. The potential increases when two positive charges are brought close to each other due to the repulsive force between them. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 20

Question 20: What is the work done in bringing two charges from infinity to a point separated by a distance r?

A. W = q * EB. W = q * rC. W = q * VD. W = (q₁ * q₂) / (4 * pi * ε₀ * r)

Answer

D. The work done in bringing two charges from infinity to a point separated by a distance r is W = (q₁ * q₂) / (4 * pi * ε₀ * r). (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 21

Question 21: What is the potential at a point due to a dipole?

A. V = (p * cosθ) / (4 * pi * ε₀ * r²)B. V = (p * sinθ) / (4 * pi * ε₀ * r²)C. V = (p * cosθ) / (4 * pi * ε₀ * r)D. V = (p) / (4 * pi * ε₀ * r)

Answer

A. The potential at a point due to a dipole is given by V = (p * cosθ) / (4 * pi * ε₀ * r²), where p is the dipole moment, θ is the angle, and r is the distance. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 22

Question 22: What is the definition of an electric dipole?

A. A system of two charges with the same sign.B. A system of two equal but opposite charges separated by a small distance.C. A system of two positive charges at a distance.D. A system of two negative charges at a distance.

Answer

B. An electric dipole is a system of two equal but opposite charges separated by a small distance. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 23

Question 23: How does the potential due to a dipole vary with distance?

A. It decreases as 1/r².B. It decreases as 1/r.C. It increases with distance.D. It remains constant.

Answer

A. The potential due to a dipole decreases as 1/r². (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 24

Question 24: How does the angle between the dipole axis and the point of interest affect the potential due to a dipole?

A. The potential is independent of the angle.B. The potential increases with angle.C. The potential decreases with angle.D. The potential depends on cosθ.

Answer

D. The potential due to a dipole depends on cosθ, where θ is the angle between the dipole axis and the point of interest. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 25

Question 25: What is the potential due to a dipole at a point on the equatorial plane?

A. ZeroB. MaximumC. Half the maximum valueD. Infinite

Answer

A. The potential due to a dipole at a point on the equatorial plane is zero. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 26

Question 26: How is the dipole moment of a dipole defined?

A. The product of the charge and the square of the distance between the charges.B. The product of the charge and the distance between the charges.C. The sum of the charges in the dipole.D. The difference between the charges in the dipole.

Answer

B. The dipole moment is defined as the product of the charge and the distance between the charges. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 27

Question 27: Which of the following factors does the electric potential due to a dipole depend on?

A. The magnitude of the charge and the distance from the dipole.B. The type of charge and its velocity.C. The type of material in which the dipole is placed.D. The electric field strength.

Answer

A. The electric potential due to a dipole depends on the magnitude of the charge and the distance from the dipole. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 28

Question 28: What is an equipotential surface?

A. A surface where the electric potential is constant.B. A surface where the electric field is strongest.C. A surface where the potential energy is zero.D. A surface where the charge density is highest.

Answer

A. An equipotential surface is a surface where the electric potential is constant. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 29

Question 29: What shape are the equipotential surfaces for a single point charge?

A. Plane surfaces parallel to the charge.B. Concentric spherical surfaces centered around the charge.C. Cylindrical surfaces around the charge.D. Randomly oriented surfaces.

Answer

B. The equipotential surfaces for a single point charge are concentric spherical surfaces centered around the charge. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 30

Question 30: How are the electric field lines oriented with respect to equipotential surfaces?

A. Parallel to the equipotential surfaces.B. Tangential to the equipotential surfaces.C. Normal (perpendicular) to the equipotential surfaces.D. Opposite to the direction of potential.

Answer

C. The electric field lines are oriented perpendicular to the equipotential surfaces. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 31

Question 31: What are the equipotential surfaces for a uniform electric field?

A. Concentric spherical surfaces.B. Planes perpendicular to the field direction.C. Cylinders surrounding the field lines.D. Conical surfaces aligned with the field.

Answer

B. Equipotential surfaces for a uniform electric field are planes perpendicular to the field direction. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 32

Question 32: In the case of a dipole, where do the equipotential surfaces appear?

A. Symmetrically around the charges, forming spherical surfaces.B. As circular loops around each charge.C. In complex shapes that depend on the angle relative to the dipole axis.D. As straight lines along the dipole axis.

Answer

C. For a dipole, the equipotential surfaces have complex shapes that depend on the angle relative to the dipole axis. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 33

Question 33: Which of the following is true for equipotential surfaces and movement of a charge?

A. Work is required to move a charge along an equipotential surface.B. No work is done when moving a charge along an equipotential surface.C. Work is required to move a charge across any point on an equipotential surface.D. Work is done only at the midpoint of an equipotential surface.

Answer

B. No work is done when moving a charge along an equipotential surface, as the potential remains constant. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 34

Question 34: How is the magnitude of the electric field (E) related to the change in potential (V) over a distance D.?

A. E = V / dB. E = – dV / dxC. E = V * dD. E = – V / d

Answer

B. The magnitude of the electric field is related to the change in potential by the formula E = – dV / dx. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 35

Question 35: In which direction does the electric field point relative to the equipotential surface?

A. Tangential to the surface.B. Perpendicular to the surface, in the direction of increasing potential.C. Perpendicular to the surface, in the direction of decreasing potential.D. Parallel to the surface.

Answer

C. The electric field is perpendicular to the equipotential surface and points in the direction of decreasing potential. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 36

Question 36: What is the formula for the electric field between two points with potential difference ΔV separated by distance d?

A. E = ΔV * dB. E = ΔV / dC. E = d / ΔVD. E = (ΔV)² / d

Answer

B. The electric field between two points with potential difference ΔV separated by distance d is given by E = ΔV / d. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 37

Question 37: What is the expression for the potential energy U of two charges q₁ and q₂ separated by a distance r?

A. U = q₁ * q₂ / (4 * pi * ε₀ * r)B. U = q₁ * q₂ / r²C. U = q₁² / (4 * pi * ε₀ * r)D. U = q₂² / r

Answer

A. The potential energy U of two charges q₁ and q₂ separated by a distance r is U = q₁ * q₂ / (4 * pi * ε₀ * r). (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 38

Question 38: What is the potential energy of a system of multiple charges?

A. The sum of potential energies for all pairs of charges.B. The product of the charges and the distance.C. The difference between the potential energies at infinity and at the current configuration.D. The ratio of total charge to distance between charges.

Answer

A. The potential energy of a system of multiple charges is the sum of potential energies for all pairs of charges. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 39

Question 39: What happens to the potential energy when two like charges are brought closer together?

A. It decreases.B. It becomes zero.C. It increases.D. It remains constant.

Answer

C. The potential energy increases when two like charges are brought closer together due to repulsive forces. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 40

Question 40: What happens to the potential energy when two opposite charges are brought closer?

A. It increases.B. It becomes zero.C. It decreases.D. It remains constant.

Answer

C. The potential energy decreases when two opposite charges are brought closer due to attractive forces. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 41

Question 41: What is the potential energy of two charges separated by a distance r in terms of Coulomb’s constant kkk?

A. U = k * q₁ * q₂ * rB. U = k * q₁ * q₂ / rC. U = k * q₁ / q₂ * r²D. U = k * q₁ * q₂ / r²

Answer

B. The potential energy is given by U = k * q₁ * q₂ / r, where k is Coulomb’s constant, q₁ and q₂ are the charges, and r is the distance between them. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 42

Question 42: What happens to the potential energy of two like charges if one charge is doubled?

A. It remains the same.B. It is halved.C. It is doubled.D. It is quadrupled.

Answer

C. The potential energy is directly proportional to the product of the charges, so doubling one charge will double the potential energy. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 43

Question 43: What is the total work required to assemble a system of two charges?

A. The sum of their individual energies.B. The work required to bring the second charge into the field of the first charge.C. The product of the charges and the distance between them.D. The difference between their kinetic energies.

Answer

B. The total work required to assemble two charges is the work required to bring the second charge into the field of the first charge. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 44

Question 44: What is the general formula for the potential energy U of a system of three charges q₁, q₂, and q₃ located at distances r₁₂, r₂₃, and r₃₁?

A. U = (q₁ * q₂ / r₁₂) + (q₂ * q₃ / r₂₃) + (q₃ * q₁ / r₃₁)B. U = (q₁² / r₁₂) + (q₂² / r₂₃) + (q₃² / r₃₁)C. U = (q₁ * q₂ * r₁₂) + (q₂ * q₃ * r₂₃)D. U = (q₁ * q₃ / r₁₂) + (q₂ / r₂₃)

Answer

A. The potential energy of a system of three charges is given by U = (q₁ * q₂ / r₁₂) + (q₂ * q₃ / r₂₃) + (q₃ * q₁ / r₃₁), summing the contributions from each pair of charges. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 45

Question 45: What is the potential energy of a charge q in an external electric field with potential V?

A. U = q * EB. U = q * VC. U = q / ED. U = q / V

Answer

B. The potential energy of a charge q in an external electric field with potential V is U = q * V. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 46

Question 46: How does the potential energy of a charge change as it is moved against an external electric field?

A. It decreases.B. It increases.C. It remains the same.D. It becomes zero.

Answer

B. The potential energy increases when a charge is moved against an external electric field. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 47

Question 47: How is the potential energy of a system of two charges q₁ and q₂ in an external field calculated?

A. It is the product of the charges and the external field.B. It is the sum of the work done to bring both charges into the field.C. It is the sum of their individual potential energies in the external field and the energy of interaction between them.D. It is the difference between their potentials.

Answer

C. The potential energy of two charges in an external field is the sum of their individual potential energies in the field and the energy of interaction between them. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 48

Question 48: What is the additional term in the potential energy of two charges in an external field that is not present in the potential energy of two isolated charges?

A. The work done by the electric field.B. The distance between the charges.C. The interaction energy with the external field.D. The difference in charge magnitudes.

Answer

C. The additional term is the interaction energy with the external field. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 49

Question 49: What is the potential energy U of a dipole with dipole moment p in a uniform electric field E?

A. U = p * E * cosθB. U = p * E * sinθC. U = p / E * cosθD. U = p / E * sinθ

Answer

A. The potential energy of a dipole in a uniform electric field is U = p * E * cosθ, where θ is the angle between the dipole moment and the field. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 50

Question 50: What is the electric field inside a conductor in electrostatic equilibrium?

A. It is zero.B. It is equal to the external field.C. It is non-zero but constant.D. It varies with charge distribution.

Answer

A. The electric field inside a conductor in electrostatic equilibrium is zero. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 51

Question 51: Why is the electric field zero inside a conductor in electrostatic equilibrium?

A. Because the charges are concentrated at the center.B. Because the charges move to the surface and cancel the field inside.C. Because the potential is zero.D. Because the external field is zero.

Answer

B. The electric field is zero inside a conductor because the charges move to the surface, canceling the field inside. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 52

Question 52: What is the electric field just outside the surface of a conductor with surface charge density σ?

A. E = σ / (2 * ε₀)B. E = σ / ε₀C. E = σ² / ε₀D. E = σ / (4 * ε₀)

Answer

B. The electric field just outside the surface of a conductor is given by E = σ / ε₀, where σ is the surface charge density. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 53

Question 53: Where does the excess charge reside in a charged conductor?

A. Inside the conductor.B. At the center of the conductor.C. On the outer surface of the conductor.D. Evenly distributed throughout the conductor.

Answer

C. The excess charge resides on the outer surface of a charged conductor. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 54

Question 54: What is the principle behind electrostatic shielding?

A. Charges inside a conductor repel external fields.B. The electric field inside a conductor is zero, protecting it from external fields.C. The potential inside a conductor is always zero.D. The charge on a conductor’s surface shields the inside from any electric field.

Answer

B. Electrostatic shielding occurs because the electric field inside a conductor is zero, which protects the inside from external electric fields. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 55

Question 55: What application of electrostatic shielding is commonly used in technology?

A. CapacitorsB. Electric shielding in sensitive electronic instrumentsC. Electric motorsD. Resistors

Answer

B. Electrostatic shielding is used in sensitive electronic instruments to protect them from external electric fields. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 56

Question 56: How does a conductor respond to an external electric field in electrostatic equilibrium?

A. It blocks the field completely.B. It allows some of the field inside.C. It arranges charges to cancel the external field inside the conductor.D. It amplifies the external field.

Answer

C. In electrostatic equilibrium, a conductor arranges charges to cancel the external field inside the conductor. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 57

Question 57: What is the main difference between polar and non-polar molecules?

A. Polar molecules have charges of the same sign, while non-polar molecules do not.B. Polar molecules have a permanent dipole moment, while non-polar molecules do not.C. Polar molecules are attracted to non-polar molecules.D. Non-polar molecules have stronger electric fields than polar molecules.

Answer

B. Polar molecules have a permanent dipole moment, whereas non-polar molecules do not. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 58

Question 58: Which of the following is an example of a non-polar molecule?

A. Water (H₂O)B. Carbon dioxide (CO₂)C. Ammonia (NH₃)D. Hydrogen chloride (HCl)

Answer

B. Carbon dioxide (CO₂) is an example of a non-polar molecule. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 59

Question 59: What happens to a non-polar molecule in an external electric field?

A. It remains unaffected.B. It aligns with the field.C. It develops an induced dipole moment.D. It becomes positively charged.

Answer

C. In an external electric field, a non-polar molecule develops an induced dipole moment. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 60

Question 60: What is induced dipole moment in a dielectric material?

A. The alignment of permanent dipoles in the direction of the electric field.B. The displacement of positive and negative charges within a molecule due to an external field.C. The creation of new charges in a dielectric.D. The attraction of a dielectric to a conductor.

Answer

B. Induced dipole moment refers to the displacement of positive and negative charges within a molecule due to an external electric field. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 61

Question 61: What does the polarization vector (P) represent in a dielectric?

A. The total electric field in the dielectric.B. The net charge on the surface of the dielectric.C. The dipole moment per unit volume of the dielectric.D. The movement of free electrons in the dielectric.

Answer

C. The polarization vector represents the dipole moment per unit volume of the dielectric. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 62

Question 62: What is the electric susceptibility (χₑ) of a dielectric?

A. The ratio of polarization to the electric field in the material.B. The amount of charge on the surface of the dielectric.C. The strength of the electric field inside the dielectric.D. The ratio of the dielectric constant to the permittivity of free space.

Answer

A. The electric susceptibility (χₑ) is the ratio of polarization (P) to the external electric field (E) in the material. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 63

Question 63: How does polarization in a dielectric material affect the external electric field inside the material?

A. It cancels the external field completely.B. It reduces the external field inside the material.C. It increases the external field.D. It has no effect on the external field.

Answer

B. Polarization in a dielectric reduces the external electric field inside the material. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Question 64

Question 64: What happens to the capacitance of a capacitor when a dielectric material is inserted between the plates?

A. The capacitance decreases.B. The capacitance remains the same.C. The capacitance increases.D. The capacitance becomes zero.

Answer

C. The capacitance increases when a dielectric material is inserted between the plates of a capacitor. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. The primary function of a capacitor is to store electric charge and energy. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The capacitance depends on the distance between the plates and the area of the plates. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The capacitance is given by the formula C = Q / V, where Q is the charge and V is the potential difference. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The energy stored in a capacitor is given by U = C * V² / 2. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

C. The unit of capacitance is the farad (F). (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. Capacitors store energy and release it when needed, making them useful in various applications. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. Capacitors are commonly used to store energy in power supplies. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. A parallel plate capacitor consists of two large plane parallel conducting plates separated by an insulator. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. The electric field between the plates of a parallel plate capacitor is given by E = σ / ε₀, where σ is the surface charge density. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. The capacitance of a parallel plate capacitor is given by C = ε₀ * A / d, where A is the area of the plates and d is the separation between them. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The insertion of a dielectric material between the plates increases the capacitance of the capacitor. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

C. The energy stored in a capacitor is given by U = Q * V / 2. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. The capacitance of a capacitor with a dielectric constant k is given by C = k * ε₀ * A / d. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The energy stored in a capacitor is given by U = C * V² / 2. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

C. The energy stored in a capacitor is proportional to the square of the potential difference because the work done to store charge increases quadratically with the charge. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The energy density of the electric field is given by u = ε₀ * E² / 2. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. Capacitors are useful in storing energy because they can release stored energy quickly when needed. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The equivalent capacitance of capacitors connected in series is given by 1 / C_eq = 1 / C1 + 1 / C2 + 1 / C3. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. The equivalent capacitance of capacitors connected in parallel is the sum of their individual capacitances, C_eq = C1 + C2 + C3. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. When capacitors are connected in series, the total capacitance decreases. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. Capacitors are connected in parallel to increase the total capacitance in an electronic circuit. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. When capacitors are connected in parallel, the total capacitance increases. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. Capacitors are connected in series to reduce the equivalent capacitance and withstand higher voltages. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. When a dielectric is inserted, the capacitance increases due to the dielectric’s ability to reduce the electric field between the plates. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

C. The dielectric constant (k) is the ratio of the capacitance with the dielectric to the capacitance without the dielectric. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. Dielectric strength is the maximum electric field a dielectric can withstand without breaking down. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. Polarization is the separation of positive and negative charges within a dielectric when placed in an electric field. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. The capacitance with a dielectric medium is given by C = k * ε₀ * A / d, where k is the dielectric constant, ε₀ is the permittivity of free space, A is the area of the plates, and d is the separation. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The insertion of a dielectric increases the capacitance, which in turn increases the energy stored if the potential difference is kept constant. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. A Van de Graaff generator works on the principle of accumulating charge on a hollow conductor through electrostatic induction. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. A Van de Graaff generator is commonly used to generate high voltages for experiments in electrostatics. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. A Van de Graaff generator uses a conveyor belt to transfer charge to the dome. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. Typically, a positive charge is accumulated on the dome of a Van de Graaff generator. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

B. The electric field near the surface of the dome increases significantly as the dome becomes fully charged. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

C. One of the main limitations of a Van de Graaff generator is that it is limited by dielectric breakdown of the surrounding air, which limits the maximum charge. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Accepted Answer

A. In particle physics, Van de Graaff generators are used to accelerate particles to high speeds by creating high voltage differences. (Electrostatic Potential and Capacitance MCQ by Top100MCQ.com)

Electrostatic Potential and Capacitance MCQ

Introduction Electrostatic Potential and Capacitance (MCQ 1 to 7)

Potential Energy in a Gravitational Field and Coulomb’s Law

Electrostatic Potential (MCQ 8 to 14)

Definition of Electrostatic Potential

Work Done by External Forces

Potential Difference and Path Independence

Potential Energy at Infinity

Potential Due to Point Charges (MCQ 15 to 21)

Potential Due to a Dipole (MCQ 22 to 27)

Equipotential Surfaces (MCQ 28 to 33)

Definition of Equipotential Surfaces

Equipotential Surfaces for a Point Charge

Relation Between Equipotential Surfaces and Electric Field

Equipotential Surfaces for a Uniform Electric Field and Dipoles

Visualization of Equipotential Surfaces

Relation Between Electric Field and Potential (MCQ 34 to 38)

Derivation of the Electric Field from Potential Gradient

Relationship Between Equipotential Surface and Electric Field Direction

Calculation of Electric Field from Potential Differences

Potential Energy of a System of Charges (MCQ 39 to 44)

Potential Energy of a System of Charges (MCQ 39 to 44)

Potential Energy for Two Charges

Work Done in Assembling Multiple Charges

General Formula for Potential Energy in a System of Charges

Potential Energy in an External Electric Field (MCQ 45 to 49)

Potential Energy of a Single Charge in an External Field

Potential Energy of a System of Two Charges in an External Field

Potential Energy of a Dipole in a Uniform Electric Field

Conductors and Electrostatics (MCQ 50 to 56)

Electrostatic Properties of Conductors

Zero Electric Field Inside a Conductor

Surface Charge and Electric Field at the Surface

Absence of Excess Charge Inside a Conductor

Electrostatic Shielding and its Applications

Dielectrics and Polarization (MCQ 57 to 64)

Polar and Non-polar Molecules

Induced Dipole Moment in Dielectrics

Polarization and Polarization Vector

Electric Susceptibility and Polarization in External Fields

Effect of Dielectrics on the Electric Field and Potential

Capacitors and Capacitance (MCQ 65 to 71)

Definition and Function of Capacitors

Capacitance and its Dependence on Geometry

Formula for Capacitance: C = Q / V

Energy Stored in a Capacitor

Capacitance Units and Practical Applications

Practical Applications of Capacitors

Parallel Plate Capacitor (MCQ 72 to 77)

Construction and Working of a Parallel Plate Capacitor

Electric Field Between Parallel Plates

Capacitance of a Parallel Plate Capacitor

Effect of Dielectric Medium on Capacitance

Energy Stored in a Capacitor

Capacitance with Dielectric Constant

Energy Stored in a Capacitor (MCQ 78 to 81)

Formula for Energy Stored in a Capacitor

Derivation and Applications of the Energy Formula

Energy Density of an Electric Field

Applications of Capacitors in Storing Energy

Combination of Capacitors (MCQ 82 to 87)

Capacitors in Series

Capacitors in Parallel

Calculation of Equivalent Capacitance in Combined Systems

Practical Applications of Series and Parallel Capacitors