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LCR 共振計算器 (串聯與並聯 RLC 回路)
本工具用於計算由電阻 (R)、電感 (L) 和電容 (C) 組成的 LCR 回路(即 RLC 回路)的諧振頻率、諧振時的阻抗與容抗/感抗、品質因數 (Q值)、頻帶寬度 (BW) 以及截止頻率,支援串聯和並聯兩種連接形態。
計算公式
諧振頻率 (f0):
f0 =
1
2π √LC
[Hz]
諧振感抗與容抗 (X0):
XL = ω0L,
XC =
1
ω0C
(諧振時 XL = XC = X0)
串聯諧振 Q值 與 頻寬:
Qs =
1
R
√
LC
,
BWs =
f0
Qs
並聯諧振 Q值 與 頻寬:
Qp = R
√
CL
,
BWp =
f0
Qp
關於 LCR 諧振回路
LCR 電路的諧振發生在感抗 ($X_L$) 與容抗 ($X_C$) 大小相等、方向相反並相互抵消的頻率點。
- **串聯諧振回路**在諧振頻率處回路的總阻抗降至最低(等於電阻 R),從而使得流經電路的電流達到最大值。
- **並聯諧振回路**在諧振頻率處回路的總阻抗升至最高,從而使外部輸入回路的總電流降至最低。
品質因數 Q 值(即諧振銳度)越高,諧振曲線越尖銳,對應的通頻帶寬度 (BW) 就越窄。
輸入參數
輸出結果
輸入參數並點擊“計算”以顯示結果。
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