03 // 双向 STEM 与金融计算器 // 流体、结构与电气工程计算器f₀ = 1 / (2 × π × √(L × C))

LC / RLC 谐振频率计算器

利用 f₀ = 1 / (2π√(LC)) 求解固有谐振频率、回路电感 L 或调谐电容 C。

f₀ = 1 / (2 × π × √(L × C))
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: f₀ — Resonant Frequency
计算结果

Natural LC oscillation frequency in Hertz

11.0000e+9

Inductance in millihenries (switch inline unit for μH or H)

0.000110,000.00

Capacitance in microfarads (switch inline unit for nF or pF)

1.0000e-610,000.00
计算结果 · Resonant Frequency (f₀)
7,117.63Hz
单位换算:

分步代入计算过程

01Canonical Law: f₀ = 1 / (2 × π × √(L × C))
02Given Inputs (Base Units): L = 0.5 mH, C = 1 μF
03Solve for f₀ (Resonant Frequency): f₀ = 7,117.63 Hz

In an LC or RLC tank circuit, electrical resonance occurs at the natural frequency f₀ where inductive reactance X_L exactly cancels capacitive reactance X_C: f₀ = 1 / (2 × π × √(L × C)).

常见参考标准值

Qi Wireless Charging Tankf₀ = 100 – 205 kHz

Resonant inductive power transfer standard

NFC / HF RFID Carrierf₀ = 13.56 MHz

Tuned loop antenna with pF capacitor bank

Characteristic Impedance (Z₀)Z₀ = √(L / C)

Determines Q-factor alongside series resistance R

20 行数值对照表

Resonant Frequency (f₀) · Tank Inductance (L)

LC / RLC Resonant Frequency Calculator — Tank Inductance → Resonant Frequency
#Tank Inductance (mH)Resonant Frequency (Hz)Δ %
010.5 mH当前7,117.63 Hz0.00%
0272.3948 mH591.5158 Hz-91.69%
03144.7896 mH418.265 Hz-94.12%
04217.1843 mH341.512 Hz-95.20%
05289.579 mH295.7581 Hz-95.84%
06361.9738 mH264.5341 Hz-96.28%
07434.3685 mH241.4855 Hz-96.61%
08506.7632 mH223.5721 Hz-96.86%
09579.1579 mH209.1325 Hz-97.06%
10651.5527 mH197.1721 Hz-97.23%
11723.9474 mH187.0538 Hz-97.37%
12796.3421 mH178.3488 Hz-97.49%
13868.7369 mH170.756 Hz-97.60%
14941.1316 mH164.0571 Hz-97.70%
151,013.53 mH158.0893 Hz-97.78%
161,085.92 mH152.7288 Hz-97.85%
171,158.32 mH147.879 Hz-97.92%
181,230.71 mH143.4637 Hz-97.98%
191,303.11 mH139.4217 Hz-98.04%
201,375.50 mH135.7031 Hz-98.09%
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常见问题解答 (FAQ)

如何使用在线 LC / RLC 谐振频率计算器 工具?+

输入已知参数或拖动滑块,即可在浏览器中实时计算并可视化 LC / RLC 谐振频率计算器(基于关系式 f₀ = 1 / (2 × π × √(L × C)))。利用 f₀ = 1 / (2π√(LC)) 求解固有谐振频率、回路电感 L 或调谐电容 C。

可以导出或打印 LC / RLC 谐振频率计算器 的结果吗?+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空 LC / RLC 谐振频率计算器 中的示例数据并从空白状态开始吗?+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项,随时也可一键重新加载示例数据。