The difference between impedance and resistance

Bob - the difference between the derivative in radians and degress is the scalar multiplier of k*pi. The key thing to note in my description is the word "directly". I found this description that should go into enough detail for you to understand what I was saying:

http://mathforum.org/library/drmath/view/54181.html

As for lead and lag, you can do a search for "ELI the ICE man" and the first few links that pop up offer good explanations.

Arthur

As to inductance the motion of a charge (which is current) causes a magnetic field.

Agreed. And the magnetic field can be shown to be a relativistic effect (Einstein - special relativity) of the pure electrical field. It all depends on your frame of reference.

To dumb it down.

Resistance(R) => DC circuits design.
Impedance(Z) => AC circuits design.

Impedance includes resistance(R) + capacitance(C) OR - inductance(L). (BUT you cant have C and L at the same time)

BUT you cant have C and L at the same time

Actually, that's not correct. A real-world (physical) capacitor will have some small amount of stray inductance, and a real world inductor will have some small amount of stray capacitance. Both will also have some non-zero, finite amount of dc resistance (the resistance of an ideal inductor is zero; the resistance of an ideal capacitor is infinite).

The magnitude and phase angle that define the overall impedance of a combination of resistance, inductance, and capacitance are calculated for a specific frequency as described near the end of my first post in this thread.

Best regards,
-- Al