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LCR 共振计算器 (串联与并联 RLC 回路)

本工具用于计算由电阻 (R)、电感 (L) 和电容 (C) 组成的 LCR 回路(即 RLC 回路)的谐振频率、谐振时的阻抗与容抗/感抗、品质因数 (Q值)、频带宽度 (BW) 以及截止频率,支持串联和并联两种连接形态。

计算公式

谐振频率 (f0): f0 = 1 2π √LC  [Hz]
谐振感抗与容抗 (X0): XL = ω0L,   XC = 1 ω0C  (谐振时 XL = XC = X0
串联谐振 Q值 与 带宽: Qs = 1 R LC ,   BWs = f0 Qs
并联谐振 Q值 与 带宽: Qp = R CL ,   BWp = f0 Qp
LCR谐振回路

关于 LCR 谐振回路

LCR 电路的谐振发生在感抗 ($X_L$) 与容抗 ($X_C$) 大小相等、方向相反并相互抵消的频率点。
- **串联谐振回路**在谐振频率处回路的总阻抗降至最低(等于电阻 R),从而使得流经电路的电流达到最大值。
- **并联谐振回路**在谐振频率处回路的总阻抗升至最高,从而使外部输入回路的总电流降至最低。
品质因数 Q 值(即谐振锐度)越高,谐振曲线越尖锐,对应的通频带宽度 (BW) 就越窄。

输入参数

电阻 (R):
电感 (L):
电容 (C):

输出结果

输入参数并点击“计算”以显示结果。


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