免费LC谐振频率计算器

计算LC电路的谐振频率。

mH
μF

谐振频率

159.15 Hz

Angular Frequency1,000.00 rad/s

Resonant Frequency vs Inductance

公式

## LC Resonant Frequency An LC circuit oscillates at a natural frequency determined by the inductance and capacitance. ### Formula **f = 1 / (2*pi*sqrt(L*C))** At resonance, the inductive and capacitive reactances are equal and cancel, leaving only resistance to limit current.

计算示例

An LC circuit with L = 10 mH and C = 100 μF.

  1. 01f = 1 / (2*pi*sqrt(L*C))
  2. 02f = 1 / (2*pi*sqrt(10e-3 * 100e-6))
  3. 03f = 1 / (2*pi*sqrt(1e-6))
  4. 04f = 1 / (2*pi*0.001)
  5. 05f = 1 / 0.006283 = 159.15 Hz

常见问题

What is resonance in an LC circuit?

Resonance occurs when the inductor and capacitor exchange energy back and forth at a natural frequency, like a pendulum swinging.

Where are LC circuits used?

In radio tuners (selecting a station frequency), oscillators, filters, and impedance matching networks.

What limits the oscillation in a real LC circuit?

Resistance in the wire and components gradually converts the oscillating energy to heat, causing the oscillation to decay (damped oscillation).

学习

Understanding Newton's Laws of Motion

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