Faraday's Law


http://subato.blogspot.com/2011/02/faradays-law-of-induction-and.html
http://subato.blogspot.com/2011/02/faradays-law-of-induction-and.html

Faraday's law states "An emf E is induced around a closed loop if the magnetic flux through the loop changes. The magnitude of the emf is E=|dϕ𝔪/dt|E=|dϕ𝔪/dt| and the direction of the emf is such as to drive an induced current in the direction given by Lenz’s law." (knight). In order to understand Faraday law we must understand the concept of magnetic flux. Magnetic flux is a way of measuring the total amount of magnetic field over a surface or a surface area it analogous to the flow of water and basically out lines the flow of the magnetic field passing through a surface.

The above photo illustrated the applications of Faraday's Law and different ways to manipulate the amount of magnetic flux going through the wire. The top right illustration shows that by increasing the number of wire coils around the cylinder. As you can see by increasing the number of coils we increase the amount of wire that the flux can pass through effectively increasing the flux through the wire and increasing the current.

In the second illustration the loop of wire is moved in and out of the magnetic field increasing and decreasing the amount of flux passing through the center of the loop increasing and decreasing the current trough the wire.


In the third illustration the wire is held stationary and a magnet is moved through the center of the coil increasing the amount of flux passing through the wire when the magnet is brought further into the center of the cylinder and deceasing the flux when it is brought out effectively changing the magnetic field.

In the final illustration the wire is rotated in a constant magnetic field this changes the amount of surface area available for the magnetic flux to pass through effectively increasing and decreasing it which causes current to flow through the wire. Paying attention to the formula this it where the changi in ϕ comes into the formula. ϕ