Re: Pickups Q and resonance
DonLduk said:
to make a further explanation, resonance occurs when a load is excited with an alternating source (sine) and the impedance of that load is solely real, which means that the inductive and capactive impedance of the load is cero, and the resistance part of the load is some number. say z is the impedance of whatever load. under not resonant circumstances, "z= R + ix" where R is the real resistance and X is another resistance, but accompained by the "i" which makes it imaginary. under resonant circumstances, "z= R1" whereas R1 is another resistance, purely real. its worth to mention that in our guitars, the load is considered the guitar pickup (bobin), the resistances of the Pickup in DC, the reisstance of the volume control and the tone capacitor. To find the resonant frequency of the pickup, there you have to find the equivalent value of that whole load in a Z=R+iY form, then take iY and equal it cero, solve for w (you know a capacitve or reactance impedance is 1/jwc or jwL )
The 0.7 value, or root square of 1/2 can be seen as 70%. In a low pass filter (our guitars pickups) the bandwith frq is when the amplitud of the signal drops below 70% (or when it drops 3dB). The frequency where that happens is called the bandwith freq.
My word! And i keep getting told that my posts are too technical!
The above is all correct, but to cut through some of the jargon,
Impedance is like resistance, but some components have a different impedance at some frequencies than at others, which is why it is called impedance and not resistance.
The frequency at which a component's impedance is least will determine it's "natural" or resonant frequency, and signals passing through this component will pass most easily at this frequency.
In general terms, a components Q is the
resonant frequency of a circuit, rather than a component , and it does not exist in isolation. In a guitar pickup circuit there will be a coil, a capacitor and a resistor, each of which will have their own resonant peak, the combination of which will conspire to create the global circuit's Q factor.
The reactance of a component, mentioned above, is a measure of the degree to which the component changes the phase relationship of an applied signal (a similar concept to the hysteresis lag in electromagnetic circuits, but i'm trying to keep this simple)
When you have several components whose impedance and reactance are frequency sensitive you have what is called a "time circuit"; Typically this consists of a capacitor, a coil and a variable resistor.
Changing the Q factor of a component in isolation is pretty hard without changing the physical properties which govern reactance and impedance but the
global Q of a circuit can be changed by changing the value of one of the above components, usually the resistor, so in fact the closest thing you can get to a multi-tapped Q is the pickups tone control; varying the resistance of the pot adjusts the circuits
time constant, which is a function of the components impedances and reactances. This time constant
is the Q factor...
In fact, since a tapped single coil or a split humbucker also changes the impedance of the coil in the time circuit this is technically doing the job as well.