Hi, how are we saying that P=V.I =v^2/R and that V=R.I, well we have AC current not DC and also the speakers voice coils are inductors not resistors right? . With AC current the voltage and current are not in phase when we have voice coil ( inductor) its not a simple resistive circuit. Can we consider the speakers coil as a simple resistor? just take the resistance value in ohms and use simple ohms law? why??? Thx
thats actually why. because it is simple and "good enough" to give the results we want.
in engineering there is a philosophy of "close enough". basically everything is a model. if you buy a 100ohm resistor, its not really a 100ohm resistor. it has a temperature coefficient, and parasitic inductance and capacitance. it also has length, making it into a distributed element.
but for most applications this doens't matter. just assuming all the parasitics are small will allow useful and accurate analysis.
i will tell you that the simple inductance isn't the core issue. if you look at the impedance plot, you will notice a huge peak due to the mechanical elements. in free air, the peak should have a Q of Qms, IIRC. i'm not 100% sure on that, but the charts i've seen seem to indicate such. this even makes sense. the mechanical elements can push or pull the coil through the gap. this allows mechanical energy to be transformed into electrical energy.
the inducatance is actually nonlinear, as are some of the mechanical elements which get transformed into things that affect the electrical model. nonlinear differential equations are generally not analytically solvable. this makes it even harder to find a "better" solution.
you are 100% correct in saying that actual power losses will not be extremely accurate if the speaker is modeled as a simple resistor. but its still useful for analysis.
i encourage you look up some of the T/S models for various boxes. they are in the help section of winISD IIRC.