/sci/ - Science & Math

>>11817395
Youve really never read BHT? Pretty much the defn of popsci

>>11644952
What do you mean by pressure resistance? Do you mean like pressure gradient in a pipe? Then you use something called poiseuille's law if its laminar flow or else you rely on something called the Darcy-Weibach relation.
If you are talking about the hoop stresses in the metal of the pipe itself, then you can just look up the equation. Its like σ=gauge pressure×radius/thickness, or something like that.

burzum kinda sucks desu

>>11480421
Probably some gay trig identity, seriously

>>11454083
Impedance is just a way of generalizing the concept of resistance to any passive circuit element. This way, we can solve a circuit with complex algebra instead of pig disgusting coupled ODEs. We are after a modified form of Ohm's law that looks like [math]
V=ZI [/math] where Z is the impedance of the element. In an AC circuit at frequency ω, we have the voltage over a capacitor as [math] V=V_p\exp(j\omega t) [/math]. So [math] I=CV'=j\omega CV_p\exp(j\omega t)=j\omega CV [/math]. For an inductor, suppose a current [math] I=I_p\exp(j\omega t)[/math]. Then [math] V=LI'=j\omega L I_p\exp(j\omega t)=j\omega L I[/math]. So for a capacitor and inductor we have the "resistance" as a function of frequency: [math] Z_C=(j\omega C)^{-1} [/math] and [math] Z_L=j\omega L [/math]. The impedance of a resistor is just its resistance. Now you can use Ohm's law for impedance and avoid solving ODEs entirely when figuring out the steady state or frequency response of an RLC circuit.