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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 ...
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 ...
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 .
The noise equivalent bandwidth (or equivalent noise bandwidth (enbw)) of a system of frequency response is the bandwidth of an ideal filter with rectangular frequency response centered on the system's central frequency that produces the same average power outgoing () when both systems are excited with a white noise source. The value of the ...
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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The simplest system in which antiresonance arises is a system of coupled harmonic oscillators, for example pendula or RLC circuits. Consider two harmonic oscillators coupled together with strength g and with one oscillator driven by an oscillating external force F. The situation is described by the coupled ordinary differential equations