What is Q-factor? Write its expression and write the conditions its maximum value. (2024)

FAQs

What is the expression for the Q factor? ›

Q = P_stored/P_dissipated = I²X/I²R Q = X/R where: X = Capacitive or Inductive reactance at resonance R = Series resistance. This formula is applicable to series resonant circuits, and also parallel resonant circuits if the resistance is in series with the inductor.

In physics and engineering, the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation.

In an AC system, the Q factor represents the ratio of energy stored in the capacitor to the energy dissipated as thermal losses in the equivalent series resistance. For example, a capacitor that is capable of storing 2000 joules of energy while wasting only 1 joule has a Q factor of 2000.

The Q factor of the pMUT can be determined by the real part of the impedance frequency spectrum, which is defined as Q = f_r/Δf, where the resonance frequency f_r is the frequency at which the real part of the impedance reaches its maximum, Δf is the width of the peak at its half height, so-called 3 dB bandwidth.

The Q value is a parameter that indicates the quality of an inductor. "Q" stands for "Quality Factor". Coils easily pass direct current but act as a resistor to alternating current. This behavior is called inductive reactance.

The Q factor for series LCR circuit is Q=ωLR=XLR=400050=80.

Q factor, a measurement of a resonant system's relative bandwidth. Radiation weighting factors used in ionizing radiation dosimetry. Q factor (bicycles), the width between where a bicycle's pedals attach to the cranks. q-value (statistics), the minimum false discovery rate at which the test may be called significant.

Bandwidth: When the Q factor or quality factor is increased then the bandwidth of the tuned circuit is decreased. When bandwidth is decreased then losses through the circuit are decreased, and the tuned circuit becomes shaper, and now more energy is stored in the circuit.

Q factor analysis reduces the many individual viewpoints of the subjects down to a few "factors," which are claimed to represent shared ways of thinking. It is sometimes said that Q factor analysis is R factor analysis with the data table turned sideways.

The Q-factor also relates to a resonance's response time. Resonance with a low Q value covers a wider range of frequencies and has a faster response time, meaning the resonance responds faster to changes in amplitude.

What is the formula for the Q factor of energy? ›

The Q-factor equation can be expressed in several forms, depending on the context of the application. However, it is generally represented as: Q = 2π × (Energy stored) / (Energy lost per cycle) Q = (Resonant frequency) / (Bandwidth)

The ratio 0L / R is the quality factor or Q factor of the circuit. When the Q value is large, the value of 2 is smaller and the resonance is sharper. Using 02= 1 / LC is expressed as Q = 0L / R.

If the 𝑄 factor of a RLC circuit is calculated using the formula 𝑄 = (1/𝑅) √(𝐿/𝐶), calculate the 𝑄 factor of a circuit that contains a 555 mH inductor and a 32.4 kΩ resistor if the resonant frequency of the circuit is 247 kHz.