Podcast
Questions and Answers
A long, straight wire carries a steady current. According to Ampère's Circuital Law, what is directly proportional to the line integral of the magnetic field around a closed loop enclosing the wire?
A long, straight wire carries a steady current. According to Ampère's Circuital Law, what is directly proportional to the line integral of the magnetic field around a closed loop enclosing the wire?
- The permeability of free space.
- The enclosed current. (correct)
- The square of the magnetic field.
- The distance from the wire to the loop.
A charged particle moves with a constant velocity through a region where both electric and magnetic fields are present. If the particle's velocity is neither parallel nor perpendicular to either field, what condition must be met for the net force on the particle to be zero?
A charged particle moves with a constant velocity through a region where both electric and magnetic fields are present. If the particle's velocity is neither parallel nor perpendicular to either field, what condition must be met for the net force on the particle to be zero?
- The kinetic energy of the particle must be zero.
- The electric and magnetic forces must be equal in magnitude and opposite in direction. (correct)
- The electric and magnetic fields must be parallel to each other.
- The magnetic field must be zero.
A solenoid and a toroid are both designed to create magnetic fields. Which of the following statements correctly describes a key difference between the magnetic field configurations they produce?
A solenoid and a toroid are both designed to create magnetic fields. Which of the following statements correctly describes a key difference between the magnetic field configurations they produce?
- A solenoid's magnetic field strength decreases with distance from the center, while a toroid's magnetic field strength is constant regardless of position.
- A solenoid's magnetic field lines are straight and parallel inside the coil, while a toroid's magnetic field lines are circular and confined within the toroid. (correct)
- A solenoid produces a magnetic field that is uniform inside and zero outside, while a toroid's magnetic field is uniform throughout its entire volume.
- A solenoid produces a magnetic field primarily inside the coil, while a toroid produces a magnetic field primarily outside the coil.
Two parallel wires carry currents in opposite directions. What effect does this configuration have on the magnetic force between the wires?
Two parallel wires carry currents in opposite directions. What effect does this configuration have on the magnetic force between the wires?
A parallel plate capacitor is fully charged and then disconnected from the battery. What happens to the charge and voltage when the plate separation is increased?
A parallel plate capacitor is fully charged and then disconnected from the battery. What happens to the charge and voltage when the plate separation is increased?
A dielectric material is inserted between the plates of a capacitor while the capacitor remains connected to a voltage source. What best describes the effect on the charge stored in the capacitor?
A dielectric material is inserted between the plates of a capacitor while the capacitor remains connected to a voltage source. What best describes the effect on the charge stored in the capacitor?
A capacitor is connected in series with a resistor to an AC voltage source. What happens to the capacitive reactance as the frequency of the AC source increases?
A capacitor is connected in series with a resistor to an AC voltage source. What happens to the capacitive reactance as the frequency of the AC source increases?
A parallel plate capacitor has a dielectric material with a dielectric constant $k$ between its plates. If the dielectric is removed, what happens to the energy stored in the capacitor (assuming it is isolated)?
A parallel plate capacitor has a dielectric material with a dielectric constant $k$ between its plates. If the dielectric is removed, what happens to the energy stored in the capacitor (assuming it is isolated)?
A point charge is moved from point A to point B in an electric field. The work done by the electric field is independent of the path taken. What does this indicate about the nature of the electric field?
A point charge is moved from point A to point B in an electric field. The work done by the electric field is independent of the path taken. What does this indicate about the nature of the electric field?
How does doubling the distance from a point charge affect the electric potential?
How does doubling the distance from a point charge affect the electric potential?
What physical quantity does the gradient of electric potential represent?
What physical quantity does the gradient of electric potential represent?
Two points, A and B, are at different electric potentials. How is the work done in moving a positive charge from A to B related to the potential difference between the points?
Two points, A and B, are at different electric potentials. How is the work done in moving a positive charge from A to B related to the potential difference between the points?
A charge moves along an equipotential surface. What is the work done in moving the charge?
A charge moves along an equipotential surface. What is the work done in moving the charge?
When two positive charges are brought closer together, what happens to the electrostatic potential energy of the system?
When two positive charges are brought closer together, what happens to the electrostatic potential energy of the system?
At a specific point in space, the electric potential is zero. Which of the following statements best describes the electric field at that point?
At a specific point in space, the electric potential is zero. Which of the following statements best describes the electric field at that point?
A capacitor is charged to a potential difference of V. If both the charge on the capacitor and the potential difference are doubled, what happens to the energy stored in the capacitor?
A capacitor is charged to a potential difference of V. If both the charge on the capacitor and the potential difference are doubled, what happens to the energy stored in the capacitor?
A parallel-plate capacitor is connected to a battery. What happens to the charge on the capacitor if the area of the plates is doubled while keeping the distance between the plates constant?
A parallel-plate capacitor is connected to a battery. What happens to the charge on the capacitor if the area of the plates is doubled while keeping the distance between the plates constant?
The breakdown voltage of a dielectric material is an important parameter in capacitor design. What does this parameter represent?
The breakdown voltage of a dielectric material is an important parameter in capacitor design. What does this parameter represent?
How does the presence of a dielectric material between the plates of a capacitor affect the electric field for a fixed amount of charge on the plates?
How does the presence of a dielectric material between the plates of a capacitor affect the electric field for a fixed amount of charge on the plates?
A metallic sphere has a charge of +Q. What is the electric potential at the center of the sphere?
A metallic sphere has a charge of +Q. What is the electric potential at the center of the sphere?
Flashcards
Tesla (T)
Tesla (T)
The SI unit of magnetic field strength, equivalent to N/(A·m).
Biot-Savart Law
Biot-Savart Law
Describes the magnetic field created by a current element; field strength is proportional to current and inversely to distance.
Lorentz Force
Lorentz Force
The total force on a charged particle moving through electric and magnetic fields.
Right-Hand Rule
Right-Hand Rule
Signup and view all the flashcards
Ampère’s Law
Ampère’s Law
Signup and view all the flashcards
Solenoid
Solenoid
Signup and view all the flashcards
Magnetic Force Formula
Magnetic Force Formula
Signup and view all the flashcards
Toroid
Toroid
Signup and view all the flashcards
Capacitance
Capacitance
Signup and view all the flashcards
SI unit of Capacitance
SI unit of Capacitance
Signup and view all the flashcards
Energy in a Capacitor
Energy in a Capacitor
Signup and view all the flashcards
Dielectric
Dielectric
Signup and view all the flashcards
Capacitance vs. Separation
Capacitance vs. Separation
Signup and view all the flashcards
Dielectric Constant
Dielectric Constant
Signup and view all the flashcards
Capacitor uses with AC current
Capacitor uses with AC current
Signup and view all the flashcards
Breakdown Voltage
Breakdown Voltage
Signup and view all the flashcards
Electric Potential
Electric Potential
Signup and view all the flashcards
SI unit of Electric Potential
SI unit of Electric Potential
Signup and view all the flashcards
Electric Field and Potential
Electric Field and Potential
Signup and view all the flashcards
Equipotential Surface
Equipotential Surface
Signup and view all the flashcards
Study Notes
Magnetic Field
- The SI unit of the magnetic field is Tesla (T).
- Ampère's Circuital Law states that the integral of the magnetic field around a closed loop equals μ₀ times the enclosed current.
- A moving charge produces a magnetic field due to its motion creating a current.
- The Biot-Savart Law describes the magnetic field produced by a small segment of current-carrying wire.
- A current-carrying conductor placed in a magnetic field experiences a force.
- The right-hand thumb rule determines the direction of the magnetic field around a current-carrying wire.
- Lorentz force is the force experienced by a charged particle moving in an electric and magnetic field.
- A solenoid is a coil of wire that produces a uniform magnetic field when carrying current.
- A toroid is circular, while a solenoid is cylindrical.
- Magnetic flux density is related to the magnetic field.
- The formula for magnetic force on a moving charge is F = q(v × B).
- The formula for the force between two parallel current-carrying conductors involves the currents, the length of the conductors, and the distance between them.
Capacitors & Dielectrics
- Capacitance is the ability of a capacitor to store charge per unit voltage; its unit is the Farad (F).
- When a dielectric is inserted between capacitor plates, the capacitance increases.
- The energy stored in a capacitor is U = (1/2) C V².
- The formula for the capacitance of a parallel plate capacitor is C = ε₀(A/d), where A is the area of the plates and d is the separation.
- The dielectric constant is the ratio of capacitance with the dielectric to capacitance without it.
- A capacitor blocks DC and allows AC to pass in an AC circuit.
- Capacitors are used in filters of power supplies to smooth out voltage variations.
- Increasing the plate separation decreases capacitance.
- Breakdown voltage is the voltage at which a dielectric fails and conducts electricity.
- The potential difference across a capacitor changes when connected to a battery, reaching the battery's voltage.
- A capacitor’s role in an electrical circuit is to store and release electrical energy.
- The potential difference across a capacitor is related to charge by V = Q/C.
Electric Potential & Potential Difference
- Electric potential at a point in an electric field is the work done per unit charge to bring a charge to that point.
- The unit of electric potential is the Volt (V).
- Electric field and potential are related by E = -dV/dx.
- The potential difference between two points is the difference in electric potential between those points.
- The potential due to a point charge is V = kQ/r.
- When a charge moves along an equipotential surface, the electric potential remains constant.
- Electrostatic potential energy is the energy a charge has due to its position in an electric field.
- How electric potential varies along the axis of an electric dipole depends on the distance from the dipole and the angle from the axis.
- Work done is related to potential difference by W = qΔV.
- If the potential at a point is zero, it does not necessarily mean the electric field is also zero; the field may still be present.
- An equipotential surface is a surface where the potential is the same at every point.
- Potential energy of a system of charges is calculated by summing individual potential energies due to each charge pair.
- A higher potential difference means a greater ability to do work in moving charges.
- When two like charges are brought closer, potential energy increases.
- Work done in moving a charge along an equipotential surface is zero because there is no potential difference.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
