Transcript Chapter 2 Motion Along a Straight Line Position, Displacement

Topic 12 – Electromagnetic Induction
12-2 Alternating current
THE ELECTRIC GENERATOR
If you know some calculus, the induced emf is actually
 = -Nd/dt ( rather than  = -N/t ).
Since  = t, N = NBA cos  can be written in terms of
the angular speed as
 = BA cos t
-N d = -N d (BA cos t)
dt
dt
Why can the BA come out of
d
 = -NBA
(cos t) the derivative?
dt
 = -NBA(- sin t) Why?
 = NBA sin t
 = NBA2f sin 2ft Why?
 = 0 sin 2ft
Induced emf in a generator
Where 0 = 2NBAf and f is the frequency in
hertz of the generator.
FYI: We call 0 = 2NBAf the peak voltage.