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In article <Vc99TB2w165w@digsol.jpunix.com> newton@digsol.jpunix.com (Michael Nichols) writes:
>I'm getting started in electronics and have been reading about inductors. 
>Although it says that inductors resist change in voltage, it doesn't give 
>any distinct mathematical method for determining how much an inductor of 
>given inductance-rating will affect the waveform of the circuit.  Could 
>somebody explain this to me?
>
>Mike Nichols
>newton@digsol.jpunix.com
Inductor rules:
1. An inductor is a short circuit to a DC voltage or current source.
2. v = L d (i)  (voltage across an inductor equals L times the first
         dt       derivative with respect to time of the current i)

Doing this requires understanding calculus and simple differential equations.
If you have the following simple circuit:

      -------------------------
      |                       | 
     /\  i                  N \ v = L d  i 
      |                       /       dt
      |_______________________| 
 

d is the first deviative with respect to time.
dt
t is the variable time, v is the voltage across the inductor, 
where N is an inductor, i is current, L is the inductance of the inductor
in henrys,  the funny \/ combination is an inductor. Now if i is sine(2*pi*f*t)
(where f is some frequency), then v (the voltage across the inductor) is
the first derivative of sine(2*pi*f*t). The first derivative of sine(2*pi*f*t)
is 2*pi*f*cos(2*pi*f*t). Evaluate this for all time t from 0 to 2*pi, and
plot i and v and notice the relation.