Electrostatic Potential and Capacitance MCQ

Correct 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)

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

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

Correct 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)

Correct 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)

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

Correct 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)

Correct 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)

Correct 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)

Correct 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)

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

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

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

Correct 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)

Correct 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)

Correct 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)

Correct 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)

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

Correct 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)

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

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

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

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

Correct 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)

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

Correct 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)

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

Correct 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)

Correct 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)

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

Correct 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)

Correct 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)

Correct 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)

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

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

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

Correct 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)

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

Correct 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)

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

Correct 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)

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

Correct 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)

Correct 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)

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

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

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

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

Correct 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)

Correct 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)

Correct 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)

Correct 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)

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

Correct 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)

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

Correct 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)

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

Correct 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)

Correct 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)

Correct 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)

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

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

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

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

Correct 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)

Correct 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)

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

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)

Correct 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)