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It might actually be that way, but bi- amping would, of course, require two amp channels. It would be cheaper to have a single channel and filter the tweeter passively.If your speaker is bi-amped it will be fine if you disconnect the driver. In this case the crossover is done with the line level signal, then amplified to speaker levels with a high powered amp and a low powered amp. I suspect it would be cheaper for a manufacturer to make their speakers this way.
Try as I might, I cannot construct a circuit of passive elements such that increasing the impedance of one of those elements can ever result in a decrease in the impedance of the overall circuit. It's been decades since my circuit theory course so maybe someone can enlighten me.
Try as I might, I cannot construct a circuit of passive elements such that increasing the impedance of one of those elements can ever result in a decrease in the impedance of the overall circuit.
I understand that if there is no effective series resistance (as in a resistance/impedance of zero), then the impedance at resonance is zero. In the case we're discussing, however, the effective series resistance is infinite (disconnected driver). So, as you say, the total impedance will equal the series resistance, which is infinite!An inductor and capacitor in series have zero reactance total at resonance. As long as there is no effective series resistance
in the circuit, the impedance is zero. If there is any resistance present, like coil resistance, or capacitor ESR, then the impedance
will equal the resistance. The equation is Z = square root ( (R squared) + (X inductive - X capacitive) squared) ).
At resonance, the inductive and capacitive reactances cancel.
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Megafiddle has explained the megatheory behind it; here's a look at an application:
Take any simple textbook two-element (LC) passive second-order highpass filter into a nominal 8-ohm load. Run the impedance curve.
Then replace that 8-ohm load with an open circuit (infinite impedance). Run the impedance curve again. You will see the impedance dip that Seamonkey is talking about.
It's counter-intuitive, but it's real. I've measured it.
An inductor and capacitor in series have zero reactance total at resonance...
As long as there is no effective series resistance in the circuit, the impedance is zero. If there is any resistance present, like coil resistance, or capacitor ESR, then the impedance will equal the resistance.
Yup, that's what it looks like! R1 in the 5-8 ohm range would be a reasonable approximation of the driver's voice coil (we can ignore its inductance in this case), and a kilo-ohm ballpark value for R1 would approximate a blown voice coil or removal of the driver or other such open-circuit condition.
Unfortunately modeling or plotting the actual impedance curve is beyond any online calculator that I know of, but at least now you have a representative circuit as a starting point. I think the key to understanding the impedance dip is this statement by megafiddle:
My understanding is that we don't get the short circuit when we have the driver in the circuit because
That being said I do not have a formal background in electronics so I welcome correction from anyone who does (or who just knows more about this than I d0).
This virtual short-circuit should the tweeter fail is one of the things I take into account when I design a crossover. I don't want a blown tweeter (which might go unnoticed) to result in a blown amp (which someone is going to notice).
Something that hasn't been mentioned: this dangerously low impedance only occurs at a specific frequency.
If that frequency is not present in the signal continuously, it isn't going to hurt anything.
There may be a simple way to see it.
When two impedances are combined in parallel, the lower impedance will predominate in the total value
of that combination. So a pure capacitance, in series with a pure inductance, will be zero impedance at
resonance. But if you place a 4 ohm resistor in parallel with the capacitor, the impedance of that circuit
section will be predominately resistive. The total impedance is now the inductive reactance in series with
the resistance.
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If there is any resistance present, like coil resistance, or capacitor ESR, then the impedance
will equal the resistance. The equation is Z = square root ( (R squared) + (X inductive - X capacitive) squared) ).
So, now raise the series resistance to infinity (disconnected driver). Then, I believe, according to your equation, Z would equal infinity as well. If the impedance equals the resistance and the resistance is infinity, then must not the impedance equal infinity?
...but the resistor is in parallel with the inductor. The fact that the lower impedance in a parallel arrangement predominates is precisely the issue. At resonance, why does hanging a resistance in parallel with the inductor raise the impedance?