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An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), ... The fractional bandwidth and Q of the parallel circuit are given by
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 ...
The fractional bandwidth of an LC circuit is given by, B = m − 1 Q {\displaystyle B={{\sqrt {m-1}} \over Q}} where m is the power ratio of the power at resonance to that at the band edge frequency (equal to 2 for the 3 dB point and 1.19 for the 0.75 dB point) and Q is the quality factor .
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 ...
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 ...
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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RLC circuit as a low-pass filter. An RLC circuit (the letters R, L, and C can be in a different sequence) is an electrical circuit consisting of a resistor, an inductor, and a capacitor, connected in series or in parallel. The RLC part of the name is due to those letters being the usual electrical symbols for resistance, inductance, and ...