RC Series Impedance
Compute RC series impedance |Z| and reactance XC from R, C (µF) and frequency f.
Inputs
Formula
Fundamentals
Compute RC series impedance |Z| and reactance XC from R, C (µF) and frequency f.
This tool computes RC Series Impedance from the formula: |Z| = √(R²+XC²), XC = 1/(2πfC)
History
Design theory of gears, threads and bearings matured with machine tools and standardisation (AGMA, ISO) since the Industrial Revolution.
Engineering applications
Used for transmission design, joint strength checks and component selection.
Glossary
| Resistance R | Input parameter |
| Capacitance C | Input parameter |
| Frequency f | Input parameter |
| Reactance XC | Output result |
| Impedance |Z| | Output result |
How to use
- Fill in Resistance R, Capacitance C, Frequency f in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Reactance XC, Impedance |Z| in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：|Z| = √(R²+XC²), XC = 1/(2πfC)
输入变量：
- Resistance R
R— Ω - Capacitance C
C— µF - Frequency f
f— Hz
输出结果：
- Reactance XC
XC— Ω - Impedance |Z|
Z— Ω
假设/适用：Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
Worked Example
根据公式 |Z| = √(R²+XC²), XC = 1/(2πfC)，取 Resistance R = 50 Ω；Capacitance C = 10 µF；Frequency f = 50 Hz。
代入计算得：Reactance XC = 318.3 Ω；Impedance |Z| = 322.2 Ω。
Key Points
- Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
- Compare stress with allowable stress and keep a safety factor (≥1.5, ≥2 for critical parts).
- For high speed/load also check lubrication, heat and fatigue life, not just static strength.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Resistance R (Ω) | R | Ω | 50 |
| Capacitance C (µF) | C | µF | 10 |
| Frequency f (Hz) | f | Hz | 50 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Reactance XC | XC | Ω |
| Impedance |Z| | Z | Ω |
Applications
- Common engineering use cases