Unit 4.5 - Electromagnetic Induction Flashcards
Induction
Cause something to happen
What is electromagnetic indication?
The phenomenon that electricity could be generated by moving a magnetic material relative to a conductor
What is used to generate electricity via electromagnetic induction?
Magnetic fields
Magnetic field strength (B)
This is a vector quantity. Its direction is that in which the North Pole of a freely-pivoted magnet points. Its magnitude is defined by B = F/Il, in which F is the force on a length l of a wire carrying a current I, placed perpendicular to the direction of the field. Unit T.
What is the model we can use to imagine a magnetic field?
A flow model
Magnetic flux unit
Wb
Magnetic flux symbol
φ
What is magnetic flux?
It described the “flow” of magnetism around a magnet or a wire carrying a current
What is the way we consider magnetic flux similar to?
The way we consider a flow of light from a lamp
How would we determine the intensity of a light source at a distance from it with a lamp?
By measuring the rate at which light energy passes through a given area and dividing this rate with the area
How do we get flux density?
Imagine an area A with a uniform magnetic field B passing through it
The total magnetic flux density passing through the area divided by the area gives us the flux density B at this point
How can we visually imagine flux density?
Judge how closely bunched up the lines of the field are
Flux density symbol
B
What is flux density, B?
The flux per m^2
Flux density (B) equation
B = φ/A
What is the total flux equation and how do we get to this?
φ = ABcostheta
B = φ/A
If this area is at an angle theta to the field then the formula is modified to only involve the perpendicular component of the flux density and becomes:
B = φ/Acostheta
Which is rearrange to calculate the total flux into the top equation
What does each turn in a coil have flowing through it?
A magnetic flux φ
Flux linkage
The total magnetic flux through a circuit
The total magnetic flux through a circuit
Flux linkage
Flux linkage symbol
N φ
N φ
Flux linkage
Flux linkage equation to learn
φ = BANcostheta
φ = BANcostheta
What does this equation calculate?
Flux linkage
What appends in a circuit if the flux linkage through the ciruit changes?
An emf is induced
When is an emf induced in a circuit?
If the flux linkage through the circuit changes
What are the ways in which the flux linkage of a circuit can be changed?
- By keeping the flux density constant and changing the area enclosed by the circuit
- By changing the flux density (B) and keeping the area enclosed by the circuit constant
- By a combination of both 1 and 2
What would be unrealistic to change in order to change flux linkage?
N
What is it called when the flux density is kept constant and the area enclosed in the circuit is changed?
Flux cutting
Flux cutting
when the flux density is kept constant and the area enclosed in the circuit is changed
What happens during flux cutting?
A conductor cuts across a magnetic field, cutting the lines of flux much as a lawnmower cuts grass
Equation for the area swept out per unit time by a conductor cutting across a magnetic field
A/t = lv
emf equation with flux cutting
emf = Blv
Equation for the flux cut through per unit time
Flux = flux linkage/t
What changes when we change the flux density in a circuit?
The flux linkage
Give 2 examples of when the flux linkage in a circuit would change
When a conductor experiences a changing magnetic field due to a changing current in a nearby wire
When a coil of wire is moved relative to a bar magnet
What is the emf induced in a conductor given by?
A statement known as Faraday’s law of electromagnetic induction
Transformers
Devices that transfer electric energy from one alternating current circuit to other circuits
What would cause the flux linkage in a circuit to change?
Transformers
Faraday’s law
The emf induced in a circuit is directly proportional to the rate of flux cutting or to the change of flux linkage through the circuit
Symbol for emf in electromagnetic induced theory
ϵ
Why do we use the symbol ϵ in electromagnetic induced theory?
To avoid confusion with the electric field E
Express Faraday’s law mathematically (explain)
emf = -rate of change of flux linkage
ϵ = dNφ
——
dt
ϵ = -BANcostheta/t
Flux linkage equation to learn
φ = BANcostheta
emf equation to learn (Faraday’s law)
ϵ = -BANcostheta/t
Explain what happens when flux linkage is changed in a circuit
emf induced = current induced = magnetic field