Magnetic fields + Induction Flashcards
Magnetic field in a bar magnet
Strongest at its ends - “north and south” seeking poles
Field line/line of force is a line along which a north pole would move in the field
Why is the North pole south
Magnet needle points to North pole, which means its actually a south seeking pole
Motor effect
When a current carrying wire is placed at a non zero angle to the lines of force of a magnetic field, it experiences a force due to the field, which is perpendicular to the lines of force and wire.
F=BILsinθ where θ is the angle between the lines of force of the field and the wire
Explaining T = BAncostheta
Right hand grip rule
Curl hand n point thumb in direction of CONVENTIONAL current, curve of fingers shows direction of magnetic field produced by moving current
Magnetic field inside a solenoid
Assumed to be uniform
Faraday’s law
Magnitude of induced emf is directly proportional to the rate of change of magnetic flux linkage
ε = -ΔNΦ/Δt (-ΔNBAcosθ/Δt)
Importance of negative in Faraday’s law
Indicative of Lenz’ law - direction of induced emf acts to oppose the change that caused it.
Lenz law w relation to energy conservation (using bar magnet in coil example)
If coil didn’t repel magnet, it would attract and accelerate the magnet - energy from nothing.
Moving magnet requires mechanical work - equals electrical energy produced in the coil. If pole wasn’t opposite, no conservation
Also if poles were opposite, wld pull magnet in faster, which in turn wld generate a greater emf, energy from nowhere
Why does a current carrying wire experience a force in a magnetic field
The electrons are pushed to one side by the force of the field.
F=BIL for charged particle leading to F=Bqv
L = vt - movement of charge in time t - equivalent to flow of current Q/t in a wire length L
For a charged particle moving across a uniform magnetic field at a speed v perpendicular to the lines of force of the field, force on the particle given by F=Bqv
(Bqvsintheta since u want component of motion perpendicular to lines of force)
Field cld be non uniform
Explanation of why hall voltage is proportional to B
Hall probe - slice of semiconducting material placed in a circuit, magnetic field with lines of force perpendicular to slice. Electrons are deflected down/up to one side of the slice - causing a potential difference (Hall voltage), once is created, force due to mg field = force due to electric field created by hall voltage – QV/d = BQv (no deflection of oncoming electrons)
where d is distance between top and bottom slice.
Vh = Bvd - for a constant current, v is constant so Vh proportional to B
Edit to clarify condition that hall voltage is reached
Conditions for uniform circula acceleration
Particle must be moving in a circle - net acceleration towards the centre of gyration
Electron gun (Thermionic emission)
Electrically heated filament near a positively charged anode - attracts electrons emitted by the filament (thermionic emission).
Electrons pass through small hole in anode to form beam. Greater pd between anode and filament - higher speed of electron when anode reached so faster beam (more power nhf)
Cyclotron + why T is constant (+ exception)
https://www.youtube.com/watch?v=m2jp0klZHEE
Time taken to complete a semi circle = πr/v = mπ/BQ
(Provided that the speed stays much less than the speed of light c)
Electromagnetic induction + induced emf rules
Occurs when a current carrying conductor cuts across the lines of force of a magnetic field, if the wire forms a closed circuit, the induced emf forces electrons around the circuit.
No emf induced in wire if wire is parallel to lines of force as it moves as it moves through the field. Wire must cut across lines of force.
When relative motion ceases, induced emf is 0
Rate of energy transfer from source of emf to other components of the circuit = induced current x emf
How to increase size of induced emf
- Move wire faster
- Use stronger magnet
- Making wire into coil, and
pushing magnet in and out
through it
Right hand dynamo rule
First finger field
Second finger current
Thumb - direction of motion of conductor
riGht for Generator
Magnetic field inside solenoid assumed to be
Uniform