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Q factor of parallel circuit is given by
1/R
RтИЪC/L
L/C
1/RLC
RтИЪC/L
The Q-factor (Quality factor) of a parallel RLC circuit represents the ratio of the energy stored in the reactive elements (inductor or capacitor) to the energy dissipated in the resistor per cycle. For a parallel resonant circuit, it is defined as Q=RLCтАЛтАЛ.
The Q-factor (Quality factor) of a parallel RLC circuit represents the ratio of the energy stored in the reactive elements (inductor or capacitor) to the energy dissipated in the resistor per cycle. For a parallel resonant circuit, it is defined as Q=RLCтАЛтАЛ.
Q=RLCтАЛтАЛ тАФ Q factor of parallel RLC circuit
BW=QfrтАЛтАЛ тАФ Relationship between Bandwidth and Q factor
In a parallel resonant circuit, at resonance, the inductive susceptance equals the capacitive susceptance (BLтАЛ=BCтАЛ). The Q-factor signifies the sharpness of resonance; a higher Q-factor indicates a narrower bandwidth and higher selectivity. Since Q=XLтАЛRтАЛ=RLCтАЛтАЛ at resonance, the circuit current is minimal at resonance, making the impedance maximum.
Q factor is a dimensionless quantity representing selectivity.
Higher Q factor results in a narrower bandwidth (sharper resonance).
In parallel circuits, the Q factor is directly proportional to the resistance R.
Parallel resonance occurs when the reactive part of the admittance is zero.
High selectivity for filtering specific frequencies.
Provides high impedance at resonant frequency.
High Q circuits are sensitive to component tolerance variations.
Prone to instability in some oscillator applications.
Radio frequency (RF) tuning circuits.
Band-pass filters and oscillators.
For a series RLC circuit, the Q factor is R1тАЛCLтАЛтАЛ, which is the inverse relationship of the parallel circuit.
Option A is simply the reciprocal dimension, Option C is a ratio of reactances at resonance, and Option D is incorrect.
B is correct тАФ The quality factor for a parallel RLC circuit is expressed as Q=RLCтАЛтАЛ.
Always remember that Q-factor for series is inversely proportional to R (Q=R1тАЛCLтАЛтАЛ), while for parallel it is directly proportional to R (Q=RLCтАЛтАЛ).