What are the conditions for series resonance to occur? What are the factors involved? Series resonance is the combination of high current and high voltage, which has a significant impact on daily use and is also related to electrical safety. The occurrence of a series resonant circuit has certain conditions.

In a series circuit composed of resistors, inductors, and capacitors, when the capacitive reactance XC is equal to the inductive reactance XL, i.e. XC=XL, the voltage U and current I in the circuit are in phase, and the circuit behaves as a pure resistor. This phenomenon is called series resonance. When the circuit has series resonance, the circuit impedance Z=√ R ^ 2+(XC-XL) ^ 2=R, the total impedance in the circuit is the smallest, and the current reaches the maximum value. Impedance condition, after resonance, the imaginary parts are equal and the signs are opposite. The series impedance is equal to 0, and the parallel impedance is equal to infinity. When resonating, the resonant current of the series circuit is infinite; The resonant voltage of a parallel circuit is infinite (theoretical value). In a series circuit of resistors and inductors, the phenomenon of power supply, voltage, and current being in phase is called series resonance. Its characteristics are: the circuit is pure resistance, the power supply, voltage, and current are in phase, the reactance X is equal to 0, and the impedance Z is equal to the resistance R. At this time, the impedance of the circuit is the smallest and the current is the largest. Inductors and capacitors may generate high voltages that are many times greater than the power supply voltage. Therefore, series resonance is also known as voltage resonance.  

What is series resonance:

In a circuit where resistors, capacitors, and inductors are connected in series, the effects of inductors Xl and Xc are directly subtracted. If certain conditions are met and Xl=Xc, the reactance of the circuit is zero, the current and voltage in the circuit are in phase, and there is no reactive power exchange between resistors, inductors, and capacitors. This circuit state is called series resonance.  

The resonance condition of the circuit is Xc=Xl, that is, ω L=1/ω C, and the natural resonance condition of the circuit can be obtained as f0=1/(2 π√ LC).  

Impedance condition:

After resonance, the imaginary parts are equal and the signs are opposite. The series impedance is equal to 0, and the parallel impedance is equal to infinity. When resonating, the resonant current of the series circuit is infinite; The resonant voltage of a parallel circuit is infinite (theoretical value).  

Or:

In a series circuit: the imaginary part of the total input impedance is zero (resonance indicates that the output voltage and current are in phase)

What is resonance: In an AC circuit composed of a resistor R, an inductor L, and a capacitor C, the phase of the voltage across the circuit and the current in it are generally different. If we adjust the parameters of circuit components (L or C) or the frequency of the power supply, we can make them in phase, and the entire circuit will appear purely resistive. The circuit that reaches this state is called resonance.  

What are the resonance conditions for a series resonant slot

According to the principle of resonance, when the inductance value X1 of the current reactor L in the circuit is equal to the capacitance value Xc, the circuit reaches a resonant state. At this point, only the circuit resistor R consumes active power in the circuit, while reactive power is in the reactance. The capacitor oscillates back and forth between the capacitor and the sample, generating high voltage on the sample.

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