RL Time Constant

Compute the time constant τ of a first-order RL circuit from L (mH) and R (Ω).

Inputs

Formula

τ = L/R (with unit scaling)
τ is the time to reach ~63% of final current.
RL τ
RL Time Constant schematic

Fundamentals

Compute the time constant τ of a first-order RL circuit from L (mH) and R (Ω).

This tool computes RL Time Constant from the formula: τ = L/R (with unit scaling)

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

Inductance LInput parameter
Resistance RInput parameter
Time const. τOutput result

How to use

  1. Fill in Inductance L, Resistance R in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Time const. τ in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:τ = L/R (with unit scaling)

输入变量:

  • Inductance L L — mH
  • Resistance R R — Ω

输出结果:

  • Time const. τ tau — ms

假设/适用:Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.

Worked Example

根据公式 τ = L/R (with unit scaling),取 Inductance L = 100 mH;Resistance R = 10 Ω。

代入计算得:Time const. τ = 10 ms。

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

ParameterSymbolUnitDefault
Inductance L (mH)LmH100
Resistance R (Ω)RΩ10

Outputs

ResultSymbolUnit
Time const. τtaums

Applications

  • Common engineering use cases

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: τ = L/R (with unit scaling)
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Common engineering use cases