DC Motor Inductance Calculator

Calculate motor coil inductance using multiple test methods. Compare step response and current ramp estimates. Download results for faster troubleshooting and documentation work today.

Calculator

Leave blank to estimate from voltage and resistance.
Used when known time constant is blank.
Use zero for locked rotor testing.
Reset

Formula Used

Temperature corrected resistance: RT = R × [1 + α × (T - Tref)]

Final current: I∞ = (V - Eb) / RT

Step response inductance: L = -RT × t / ln(1 - I / I∞)

Time constant method: L = RT × τ

Current ramp method: L = (V - Eb - I × RT) / (ΔI / Δt)

Stored magnetic energy: E = 0.5 × L × I²

How to Use This Calculator

  1. Select the measurement method that matches your test data.
  2. Enter voltage, armature resistance, current, and timing values.
  3. Use zero back EMF when the rotor is locked.
  4. Enter winding temperature if resistance needs correction.
  5. Choose the output unit before submitting the form.
  6. Press the calculate button to view results above the form.
  7. Use the CSV or PDF option to save the result.

Example Data Table

Test Type Input Data Estimated Inductance Use Case
Locked rotor step V = 12 V, R = 2 Ω, t = 0.015 s, I = 4 A, I∞ = 6 A 27.31 mH Bench step response check
Known time constant R = 1.8 Ω, τ = 0.012 s 21.6 mH Controller model entry
Current ramp V = 5 V, R = 1 Ω, I = 2 A, ΔI = 0.8 A, Δt = 0.004 s 15 mH Oscilloscope ramp estimate

Understanding DC Motor Inductance

DC motor inductance describes how strongly the armature winding resists current change. It acts like electrical inertia. When voltage is applied, current does not rise instantly. It follows a curved response set by winding resistance and inductance. This behavior affects starting current, driver stress, braking, and control loop tuning.

Why the Value Matters

A low inductance motor can demand sharp current pulses. That can heat switches and create noise. A high inductance motor smooths current, but it may react slower during speed changes. Designers use the value when selecting controllers, snubbers, pulse width settings, and current limits. It is also useful when comparing rebuilt motors or checking damaged windings.

Practical Measurement Notes

The safest practical method is often a low voltage step test. Lock the rotor, apply a controlled voltage, and record current at a known time. Rotor locking reduces back electromotive force, so the winding model becomes clearer. Use short tests only. Motors can heat quickly when stalled. Measure winding resistance after the motor reaches a stable temperature.

Using Step Response

For a simple armature model, final current equals applied voltage divided by resistance. The time constant equals inductance divided by resistance. At one time constant, current reaches about 63.2 percent of its final value. This calculator can use that idea directly. It can also use any measured current fraction below final current.

Using Current Ramp Data

Some tests record the current slope instead of a percentage point. In that case, inductance equals the voltage left across the winding inductance divided by the rate of current change. The voltage left across inductance is applied voltage minus resistance drop and minus back electromotive force. At standstill, back electromotive force is normally near zero.

Reading the Results

Small motors may show microhenry or millihenry values. Larger windings can reach higher millihenry values. The calculated time constant helps explain current rise speed. Stored magnetic energy helps estimate switching stress. Treat the output as an engineering estimate, not a replacement for calibrated laboratory equipment.

Good Input Practice

Use clean contacts. Repeat readings and average them. Enter seconds, ohms, and amperes. Keep notes about rotor state, temperature, and supply limits. These details make later checks easier for every motor tested.

FAQs

What is DC motor inductance?

It is the winding property that opposes current change. Higher inductance slows current rise and stores more magnetic energy during operation.

Which method should I choose?

Use step response when you recorded current after a voltage step. Use time constant when τ is known. Use ramp when current slope is measured.

Should the rotor be locked?

For many bench tests, yes. A locked rotor reduces back EMF, making the armature winding model easier to calculate.

Why is final current important?

Final current defines the target current for the exponential rise. The step response formula needs measured current below that final value.

What does the temperature correction do?

It adjusts resistance for winding temperature. Copper resistance changes with heat, so this can improve the inductance estimate.

Can I enter back EMF?

Yes. Enter back EMF when the motor is spinning. Use zero when the rotor is locked and speed is effectively zero.

Why is my result negative?

A negative result usually means the entered voltage, current, resistance, or back EMF values do not match the selected formula.

Is this suitable for final design approval?

Use it for estimation, comparison, and documentation. For final certification, confirm values with calibrated test equipment and approved procedures.

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