Hey so I was reading about EMF and magnetic flux and recapping stuff and the concepts are pretty clear but I'm having trouble understanding Faraday's law's formula
http://buphy.bu.edu/~duffy/PY106/14e.GIF
like flux is BAcostheta and I understand the way A is the area and costheta is the angle made with the normal but i dont get Faraday's formula :/
thank you
Hey! So that version of the formula isn't going to be useful in the HSC - Since you'll never have to deal with Faraday's law numerically! I'll give you another version - But I will explain this one first.
\(\Delta\left(BA\cos{\theta}\right)\) - This is the
change in magnetic flux. Note that the \(\Delta\) symbol just means "difference" as always. The reason it is \(BA\) is from the formula \(\Phi=BA\) - You get magnetic flux by multiplying magnetic flux
density by
area - Which makes intuitive sense
The \(\cos\phi\) term just takes care of the angle of the field, basically
\(N\) is the number of turns in the coil you are talking about, and then the denominator represents change in time. So in words:
The induced EMF in a solenoid is equal to the rate of change of magnetic flux in that solenoid, multiplied by the number of turns in the solenoid.
Again though, you'll never use this formula algebraically in the HSC. Not assessable - Faraday's Law in this algebraic form isn't even in the syllabus
so I instead tell my students to use this simpler version just for the utility:
In words:
The magnitude of an induced emf is proportional to the rate of change of magnetic flux. This captures exactly the same information as above, but just in a way less technical way that is far easier to convey in exams.
Oh woops, forgot something. Notice both your formula and my formula have negative signs - We can actually mathematically prove that this negative exists in the formula, but for us, it represents
Lenz's Law