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What is the Q value of series LCR circuit?
An inductor of inductance 2.0 mH is connected across a charged capacitor of capacitance 5.0 μF and the resulting L-C circuit is set oscillating at its natural frequency. Let Q denote the instantaneous charge on the capacitor and i the current in the circuit.It is found that the maximum value of Q is 200 μF.
What are the Q factor and resonant frequency of a series LCR circuit?
Here L denotes the inductance of the inductor, C denotes the capacitance of the capacitor, and R denotes the resistance of the resistor. Therefore, the resonant frequency of the L-C-R circuit is \[15.31\text{ Hz}\] and the Q-factor is \[45.82\].
What is Q factor in series?
The Q factor of a series resonant circuit is defined as the ratio of the voltage across a coil or capacitor to the applied voltage. Q is equal to voltage across L or C divided by applied voltage.
What is bandwidth of a series LCR circuit?
The bandwidth (BW) of a resonant circuit is defined as the total number of cycles below and above the resonant frequency for which the current is equal to or greater than 70.7% of its resonant value. The two frequencies in the curve that are at 0.707 of the maximum current are called band, or half-power frequencies.
What is meant by LCR circuit?
An LCR circuit, also known as a resonant circuit, tuned circuit, or an RLC circuit, is an electrical circuit consisting of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel. The LCR circuit analysis can be understood better in terms of phasors. A phasor is a rotating quantity.
How to calculate the Q factor of an LC circuit?
When determining the Q of an LC tuned circuit it is necessary to determine whether the circuit is series or parallel tuned. The LC Q factor for a series tuned circuit is: Q = 1 R L C
How does a tuned circuit affect the filter Q factor?
The introduction of any resistance into the circuit will introduce losses and reduce the filter Q factor. Series tuned circuit: The series tuned circuit is very much the inverse of the parallel tuned circuit in that rather than showing a peak in impedance at resonance there is a minimum.
Why is the Q factor low in a resonant circuit?
Voltage is at a peak at resonance since voltage is proportional to impedance (E=IZ). Parallel resonant circuit: Impedance peaks at resonance. A low Q due to a high resistance in series with the inductor produces a low peak on a broad response curve for a parallel resonant circuit.
What is the Q factor of a RLC filter?
Generally, when designing a simple passive RLC filter, the steep slope for a very selective application may require a high Q >>1 and the opposite, a smooth phase shift requires low Q <1. Generally, Q>100 are more difficult to achieve with components or filter designs, but possible but low Q filters with more stages are more stable and reliable.