Flux linkage vs. flux, Faraday's/Lenz's Law

[sweetpotato]

Homework Statement

In my power engineering class we've been going over basic electromagnetism. I need some help understanding Faraday's/Lenz's law.

As far as I understand, it is v(t) = d(lambda)/dt where v(t) is voltage and lambda is flux linkage.

My question is, how do I find lambda/what is another equation I can use to find lambda? Also, how is flux linkage different from flux? According to Wikipedia and my class notes, the equations for flux linkage and for flux are the same, namely:

phi = surface integral of (dot product of B and dA)

where dA is area and B is flux density.

Homework Equations

Please see above

The Attempt at a Solution

Read class notes and http://en.wikipedia.org/wiki/Flux_linkage , still confused

 

[_coyote_]

. Flux linkage is the total flux that passes through a given loop. It is the total flux that links with the coil, which is related to the potential difference induced in the coil. Flux is the total amount of "flow" passing through a surface. In this case, it is the total magnetic "flow" or number of magnetic field lines passing through a surface. The equation for flux is simply the surface integral of the dot product of B and dA, where B is the magnetic flux density and dA is the area element.