A current flowing through a wire produces its own magnetic field
The motor effect is when a wire with current is in another magnetic field and experiences a force
The equation for the force (F) on the wire is F = BIL, where I is current in amps, L is length of the wire in the magnetic field, and B is the magnetic flux density (measured in Tesla)
The alternative unit for magnetic flux density is Newtons per amp per meter
The equation only works if the current and magnetic field lines are perpendicular to each other
If the wire is parallel to the field lines, it will experience no force
Fleming's left-hand rule is used to determine the direction of the force on the wire
A cyclotron uses F = Bqv to produce high-energy particles like protons for medical therapy
In a mass spectrometer, particles separate out according to their masses when exposed to a magnetic field
Flux is the amount of magnetism an area is exposed to, symbolized by F and measured in Webers (Wb)
Flux density is equal to flux over area, measured in Tesla or Newtons per amp per meter squared
To calculate total flux linkage in a coil, multiply flux by the number of turns in the coil (n)
EMF induced in a wire is proportional to the rate of change of flux linkage, according to Faraday's law
The direction of the induced current opposes the change that caused it, known as Lenz's law
Transformers change the voltage of electricity transmitted through overhead cables by altering the turns ratio of coils
In an ideal transformer, power in equals power out, making it 100% efficient
Lenz's law also applies to motors, where back EMF opposes the driving EMF to regulate motor speed and prevent burnout