- #1
nathangrand
- 38
- 0
Why does the resonance peak of a parallel LCR network (capacitor in parallel with in-series inductor and resisitor) get smaller in amplitude with increasing resistance? I have impedance/DC resistance plotted against frequency.
I'm really not sure about how to go about showing this, preferably mathematically. At resonance is the reactance 0, implying the impedance is just the resistance?
Also, what is the correct expression for the resonant frequency of this circuit? I get w[tex]^{2}[/tex] = w0[tex]^{2}[/tex] - y[tex]^{2}[/tex] when y=R/2L and w0= 1/ [tex]\sqrt{LC}[/tex] but I've seen different expressions, such as under other configurations here http://en.wikipedia.org/wiki/RLC_circuit
Any help would be massively appreciated!
I'm really not sure about how to go about showing this, preferably mathematically. At resonance is the reactance 0, implying the impedance is just the resistance?
Also, what is the correct expression for the resonant frequency of this circuit? I get w[tex]^{2}[/tex] = w0[tex]^{2}[/tex] - y[tex]^{2}[/tex] when y=R/2L and w0= 1/ [tex]\sqrt{LC}[/tex] but I've seen different expressions, such as under other configurations here http://en.wikipedia.org/wiki/RLC_circuit
Any help would be massively appreciated!