At ω0=1/√(LC) reactances cancel and a series circuit has minimum impedance.
Series RLC resonance at ω₀=1/√(LC): reactances cancel, impedance minimum (=R) and current maximum. Parallel resonance gives maximum impedance. Used in radio tuning and filters; unwanted resonance can cause damaging overvoltages.
L=100 µH, C=253 pF tunes about 1 MHz.
Resonance produces minimum impedance in a series RLC circuit, which is the principle behind tuned radio circuits and filters.
At ω0=1/√(LC) reactances cancel and a series circuit has minimum impedance.
Resonance produces minimum impedance in a series RLC circuit, which is the principle behind tuned radio circuits and filters.
It is one over two pi times the square root of L C, where the inductive and capacitive reactances cancel.
The impedance is at its minimum, which is just the resistance, so the current reaches its peak for the given voltage.
Typical applications include tuning a radio receiver to one station, designing a notch filter to remove 50 Hz hum and selecting the resonant frequency of a wireless power coil.
Study "Power factor correction" first (topic 44 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.
f₀=1/(2π√LC). Bandwidth=f₀/Q. Voltages across L and C can exceed supply by Q.
L=100 µH, C=253 pF tunes about 1 MHz.
The next topic is "Quality factor", which builds directly on this one.
It is classed as Intermediate in Electrical Engineering (topic 45 of 106). It is an intermediate topic. Work through the beginner topics in Electrical Engineering first.
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