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RLC circuit as a high-pass filter: Figure 8. RLC circuit as a series band-pass filter in series with the line: Figure 9. RLC circuit as a parallel band-pass filter in shunt across the line: Figure 10. RLC circuit as a series band-stop filter in shunt across the line: Figure 11. RLC circuit as a parallel band-stop filter in series with the line
The Q factor is a parameter that describes the resonance behavior of an underdamped harmonic oscillator (resonator). Sinusoidally driven resonators having higher Q factors resonate with greater amplitudes (at the resonant frequency) but have a smaller range of frequencies around that frequency for which they resonate; the range of frequencies for which the oscillator resonates is called the ...
2 Just give us the formula already?! 3 comments. 3 Mistake in the RLC circuit derivation. ... 9 Where does the term "fractional bandwidth" and symbol '"`UNIQ ...
An RLC circuit can be used as a band-pass filter, band-stop filter, low-pass filter or high-pass filter. The tuning application, for instance, is an example of band-pass filtering . The RLC filter is described as a second-order circuit, meaning that any voltage or current in the circuit can be described by a second-order differential equation ...
It is sometimes taken to be the point in the filter response where a transition band and passband meet, for example, as defined by a half-power point (a frequency for which the output of the circuit is approximately −3.01 dB of the nominal passband value). Alternatively, a stopband corner frequency may be specified as a point where a ...
The accuracy depends on both filter structure and resonator structure. The accuracy improves when the fractional bandwidth narrows. Inaccuracy of formulas (16) and their refined version is caused by the frequency dispersion of the coupling coefficients that may varies in a great degree for different structures of resonators and filters. [9]
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An RLC circuit therefore obeys + + = (), where () is the current as a function of time, is the resistance, the inductance, and the capacitance. [ 1 ] The activity of interacting inhibitory and excitatory neurons can be described by a system of integro-differential equations, see for example the Wilson-Cowan model .