What components determine a circuit's resonant frequency?

What components determine a circuit's resonant frequency?

• A. Capacitance and Inductance
• B. Resistance and Capacitance
• C. Voltage source and Resistor
• D. Resistance and Inductance

Answer: (A)

When a circuit can exchange energy between a magnetic field in the inductor and an electric field in the capacitor, it naturally oscillates at a specific frequency called the resonant frequency. At resonance, the inductive and capacitive reactances cancel each other out, meaning X_L equals X_C. This gives the angular frequency ω0 = 1/√(LC), and the ordinary frequency f0 = 1/(2π√(LC)). The resistance present in a real circuit mainly affects how sharply the resonance occurs (the quality factor) and how quickly energy is lost, but it does not set the resonance frequency in the ideal LC relationship. Therefore, the components that determine the resonant frequency are the inductance and capacitance.

When a circuit can exchange energy between a magnetic field in the inductor and an electric field in the capacitor, it naturally oscillates at a specific frequency called the resonant frequency. At resonance, the inductive and capacitive reactances cancel each other out, meaning X_L equals X_C. This gives the angular frequency ω0 = 1/√(LC), and the ordinary frequency f0 = 1/(2π√(LC)). The resistance present in a real circuit mainly affects how sharply the resonance occurs (the quality factor) and how quickly energy is lost, but it does not set the resonance frequency in the ideal LC relationship. Therefore, the components that determine the resonant frequency are the inductance and capacitance.