An RLC circuit is a circuit consisting of a resistor (R), an inductor (L), and a capacitor (C) connected in series or parallel.
Resonance in an RLC circuit occurs when the inductive reactance (XLX_L) and capacitive reactance (XCX_C) cancel each other out, resulting in maximum current flow and minimum impedance.
At resonance, the impedance of an RLC circuit is purely resistive and is equal to the resistance (RR) of the circuit.
The quality factor (Q) of an RLC circuit is a measure of the selectivity or sharpness of the resonance. It is the ratio of the resonant frequency to the bandwidth.
The damping factor determines the rate at which oscillations decay in an RLC circuit. Higher damping results in slower decay and broader bandwidth.
Resistance does not affect the resonant frequency (f0f_0) of an ideal RLC circuit, but it affects the bandwidth and quality factor.
In series RLC circuits, resonance occurs when the inductive and capacitive reactances cancel each other out, while in parallel RLC circuits, resonance occurs when the total admittance is minimized.
The transient response is the circuit's behavior when it is subjected to a sudden change, such as a switch being turned on or off.
The steady-state response is the circuit's behavior after transients have settled, characterized by a sinusoidal response at a particular frequency.
Maximum power transfer occurs when the load impedance matches the complex conjugate of the source impedance.