Alert! If the two animated pictures 5th, and 6th frame appear frozen, or freeze up after running a little bit, try moving the mouse, or pressing the shift key by itself. Failing that, I provide a way to download these two files, so that you can see what they look like, using an appropriate viewer, not the browser, on your machine. Some people have reported that too many simultaneous animations on older ones fail at the first frame, so you might try them one at a time, if you're having difficulty. Also some older browsers cough when more than one animation is presented on the same page, and they get real sluggish.
Fast animated resonant LC circuit 0.031 meg
Slow animated resonant LC circuit 0.031 meg
If they work ok, then on with the the show...
Click the "Audio discussion" link Now
011_Ls-n-Cs.mp3 Audio lecture on capacitors and inductors 4.33 meg
Click the "Audio discussion" link Now
011_RC_RL.mp3 Audio lecture on RC and LC time constants 7.45 meg
Click the "Audio discussion" link Now
011_LC.mp3 Audio lecture on resonant LC, circuits 0.67 meg
The Big Picture: Think cable :-)
The knob, the shaft, and the whole speedometer, and cable assembly, in this analogy have no mass at all, thus no inertia. Also for the purposes of this , other resistance, as further voltage is applied. If we adjust a Variac thats driving a nominal 120 volt transformer designed to handle 100 to 200 VA but the Variac is set to drive it over it's rated voltage, say about 145 volts AC RMS, we start to see the onset of saturation effects. One obvious thing, is that the transformer hums louder than usual, but if we connect a low ohm series resistor, and chart the current, through it by reading the voltage across it with an oscilloscope we get the following waveform.
The blue portion of the waveform is the normal transformer current the red bulge is the onset of saturation, and after that point as the voltage increases, the resistance of the copper wire inside the transformer, is the only further current limiting factor, because the core is saturated, and can not accept any more magnetic fields. The more voltage applied by transformers, the magnetic core material is composed of thin sheets of mild steel cut into "E" and "I" shapes, sprayed with graphite, an insulator at the miniscule voltages present in the core of a transformer, or inductor.
The magnetic gap is both desirable, for some things, and undesirable for, I know I used to make custom transformers.
Yet another way to achieve magnetic gap is the grind up the iron, and sprinkle in some graphite, and a Wizard's brew of other chemicals, bake at high