Hi guys
I am pretty lost in regards to the Motors and Generators course and was wondering if someone could explain the concept of back EMF?
It would be much appreciated!
Hey Charlie:
Awesome! Back emf is actually a concept that my classmates all struggled with for two lessons before they eventually understood what it is, simply because you just feel like you have current and emf produced everywhere and you have your motor effect and all these other fancy physics principles and you would kinda feel lost. So don't worry, you are in the same boat as majority of the other students and I will definitely help you to understand this concept better.
So lets think back to out first principles - the motor effect. We know that
when we supply a current to a coil inside a magnetic field, the coil experiences a force (motor effect) and it rotates. (N.B. if you would like to know why it experiences a force, it is because the current passing through the coil actually produces a magnetic field that interacts with the external magnetic field caused by a pair of magnets. This exerts a force onto the coil, making it spin). We call this current that is supplied to the rotor the "supply current". Since a current requires voltage(which pushes the electrons through the conductor) to flow through the coil, we call this voltage "supply voltage" or "supply emf".
We have also learnt however, that
whenever there is a change in magnetic flux, an emf is induced and hence a current is induced (Faraday's law). Essentially there will be a change in magnetic flux whenever there is a relative motion which cuts magnetic field lines. The magnitude of this current/emf produced will be proportional to the rate of change of flux.
This induced emf will be in such a direction that it opposes the change in magnetic flux (Lenz's law).
Ok now, we need to combine the two parts I talked about above to explain the back emf. According to the motor effect, the rotor coil would be rotating in the external magnetic field. As it rotates, there is relative motion between the rotor coil and the magnetic field. As a result, it constantly cuts different amount of magnetic field lines, causing change in magnetic flux and induces an emf (Faraday's law). But according to lenz's law,
this induced emf will be in a direction to oppose the change in magnetic flux, hence this emf will be acting against the supply emf to try to maintain the previous magnetic flux condition. Because it opposes the supply emf, we call this INDUCED EMF "back emf".
When the armature (rotor coil) is parallel to the magnetic field, the back emf induced will be the greatest because torque is the greatest when armature is parallel to magnetic field lines (T = nBIAcostheta, theta=0, costheta = 1, hence T is maximum when theta=0 i.e. parallel). This maximum torque means that the armature will be cutting the magnetic field lines at a greater rate, and according to faraday's law, more emf will be produced because there is a faster change in magnetic flux. When the armature coil is perpendicular to the magnetic field, i.e. theta=90 degrees, the torque will be minimum, meaning that change in magnetic flux is minimum and hence back emf produced in minimum.
Ok so I hope my explanation made sense to you and if you didnt understand any of those, just remember two things at least:
1. back emf acts against the supply emf
2. back emf is induced due to the rotor's rotation which causes change in magnetic flux
Best Regards
Happy Physics Land