Lc Resonant Frequency
Calculator
Results
- Resonant frequency (Hz)
- 5,032.92121
- Resonant frequency (kHz)
- 5.032921
- Characteristic impedance (Ω)
- 316.227766
Electrical results
| Resonant frequency (Hz) | 5,032.92121 |
| Resonant frequency (kHz) | 5.032921 |
| Characteristic impedance (Ω) | 316.227766 |
formula-map diagram
- Resonant frequency (Hz)
- 5,032.92121
- Resonant frequency (kHz)
- 5.032921
- Characteristic impedance (Ω)
- 316.227766
Electrical relationship
Formula
f = 1 / (2π × √(L × C))= 5032.9212104487
Note
This is a simplified model: it applies the textbook relationship to the numbers you entered and assumes ideal components, steady-state sinusoidal conditions, balanced loads and copper resistivity of 0.0172 Ω·mm²/m at 20 °C. It ignores component tolerances, temperature drift, skin effect, harmonics, inrush, transformer and battery losses, and it is not a substitute for the wiring code that applies where you are. Have any installation sized and verified by a licensed electrician or engineer.
More in Electrical engineering
See all →Frequently asked questions
How is the resonant frequency of an LC circuit calculated?+
f = 1 / (2*pi*sqrt(L*C)), where L is inductance in henries and C is capacitance in farads. At this frequency, the inductor and capacitor exchange energy back and forth with minimal external input needed.
What physically happens at resonance?+
The inductive reactance and capacitive reactance become equal in magnitude and cancel each other out, so the circuit's impedance (in an ideal, lossless LC) drops to its minimum or maximum depending on whether it's series or parallel resonance.
Why does increasing L or C lower the resonant frequency?+
Both a larger inductor and a larger capacitor take longer to exchange a given amount of energy, so the natural oscillation slows down. Since frequency is inversely related to the square root of L*C, doubling either one reduces frequency by about 29%.
What's the difference between series and parallel LC resonance?+
A series LC circuit has minimum impedance at resonance, so it passes current most easily at that frequency, while a parallel LC circuit has maximum impedance at resonance, blocking current there — the resonant frequency formula is the same for both, but their behavior is opposite.
Where are LC resonant circuits actually used?+
They form the backbone of radio tuning circuits, oscillators, and filters, since they let you select or reject a specific frequency by choosing the right L and C combination.