Faraday's law: Lab examples of induced voltage = B dA/dt

 Faraday's law is one of the most important discoveries in the history of physics, in my opinion. It is relatively simple in its mathematical form, but in terms of applications it is invaluable and tells us how to create 90-something percent of the world's electricity, from generators in power plants. 

Faraday's law is: emf = induced voltage = d(BA)/dt. Magnetic flux = (B)(A), where A is the area the magnetic field flows through. 

This video shows a few lab examples of what it looks like for the case of emf = B dA/dt, where the area is changing due to some type of motion of the conductor (loops of wire). To see the math for this case, check out this video.