D.4 Induction HL Flashcards
Magnetic Flux (Symbol)
φ (Phi) - Represents the total number of magnetic field lines passing through a given area, measured in Webers (Wb)
Magnetic Field Strength (Symbol)
B - Measures the intensity of a magnetic field in a given area, expressed in Teslas (T).
Magnetic Field Lines
Represent the direction and strength of a magnetic field; closer lines indicate a stronger field
Equation for Magnetic Flux
φ = BA cos θ - Where φ is the magnetic flux, B is the magnetic field strength, A is the area through which the field lines pass, and θ is the angle between the field lines and the normal to the surface.
Magnetic Flux Density
Represents how close together the field lines are, indicating the strength of the magnetic field. Measured in Teslas (T) or Webers per square meter (Wb/m^2).
Factors Affecting Magnetic Flux
The amount of magnetic flux through a surface depends on the strength of the magnetic field (B), the area of the surface (A), and the angle (θ) between the field lines and the normal to the surface
Faraday’s Law of Induction
States that the induced electromotive force (emf) in any closed circuit is equal to the negative of the time rate of change of the magnetic flux through the circuit.
Formula for Induced emf
ε = -N(ΔΦ/Δt) where ε is the induced emf, N is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the time interval.
Lenz’s Law
The direction of an induced emf is such that it opposes the change in magnetic flux that produced it, reflecting the conservation of energy.
Condition for Maximum emf Induction
The maximum emf is induced when a conductor moves perpendicularly to the magnetic field lines, maximizing the change in magnetic flux.
Relationship Between emf, Magnetic Field Strength (B), Velocity (v), and Length (L)
ε = BvL, where ε is the induced emf, B is the magnetic field strength, v is the velocity of the conductor, and L is the length of the conductor within the magnetic field.
Significance of Negative Sign in EMF Equation
Indicates that the induced EMF works to oppose the change in magnetic flux through a circuit.
Direction of Induced Current
Determined by Lenz’s Law; it opposes the change in magnetic flux that induced it.
Conservation of Energy in EMF Induction
Lenz’s law ensures the conservation of energy by opposing the change that causes induced EMF.
Application of Lenz’s Law in Technology
Used in electromagnetic braking and induction charging, exploiting the opposition of induced currents to change in magnetic flux.