Resonant Frequency Calculator
Calculate the resonant frequency of an ideal LC circuit.
Formula
f = 1/(2π√LC).
What Is LC Resonance?
An ideal LC circuit resonates at the frequency where inductive and capacitive reactance magnitudes are equal. Energy alternates between the inductor’s magnetic field and the capacitor’s electric field.
Example Calculation
For L = 10 mH (0.01 H) and C = 100 µF (0.0001 F), the resonant frequency is about 159.15 Hz.
Factors and Interpretation
Increasing either inductance or capacitance lowers the resonant frequency. Real circuits also include resistance, component tolerances and parasitic effects, so measured resonance can differ from the ideal result.
Frequently Asked Questions
What happens at resonance?
Inductive and capacitive reactances are equal in magnitude in the ideal LC model.
Does resistance change the ideal formula?
The simple LC formula ignores resistance; damping and practical resonance behavior depend on resistance.
Which units should I use?
Use henries and farads to obtain frequency in hertz.
Related Tools
LC Resonant Frequency
An ideal LC circuit has a natural resonant frequency determined by its inductance and capacitance. Increasing either value lowers the resonant frequency, while smaller inductance or capacitance raises it. This relationship is widely used when studying filters, oscillators, and tuned circuits. Practical circuits also contain resistance and component tolerances, and parasitic capacitance or inductance can shift measured resonance away from the ideal calculated value.
Formula and Practical Limits
An ideal LC resonant frequency is f = 1/(2π√LC). Component tolerance, resistance and parasitic capacitance or inductance shift the measured resonance and affect bandwidth.