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Last updated: August 26, 2025

Inductor Current Calculator: AC, DC & Transient Formulas

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Inductor current calculator

Calculate inductor current for AC, DC, or transients using i(t)= 1/L ∫ 𝑣 (t)dt or I=V/XL Where XL=2rfL.

inductive reactance current

The current flowing through an inductor is dependent on induction, voltage, and frequency. Current in AC lags behind voltage by 90 degrees, and decreases with the frequency, or with inductance.

Formula & Table Summary:

Formula

\( X_L = 2\pi f L \)

\( I_{\text{rms}} = \frac{V_{\text{rms}}}{X_L} \)

\( i(t) = \frac{1}{L} \int v(t) \, dt + i(0) \)

transient inductor current

Compute inductor current of AC, DC, or transients: I = V / XL with XL= 2pi f L or integrate voltage vs time for non-sinusoidal waveforms.This is useful to design coils and chokes and to analyze power systems to help ensure that current does not exceed component limits, and adheres to thermal constraints.

inductor current calculator

Vrms (V)f (Hz)L (mH)CalculationIrms (A)
23050100230 / (2π·50·0.1)7.32
1206050120 / (2π·60·0.05)6.37
24040010240 / (2π·400·0.01)9.55
11050200110 / (2π·50·0.2)1.75
400602400 / (2π·60·0.002)530.52

Frequently Asked Questions - Inductor current calculator:

How do I calculate inductor current in AC?

Use I=Vrms/XL where XL=2πfL.

What is inductive reactance?

XL=2πfL, the opposition of an inductor to AC current.

What’s the phase relation in inductors?

Voltage leads current by 90° in a pure inductor.

How to calculate transient inductor current?

Use i(t)=1/L ∫ v(t) dt + i(0) for general waveforms.

How does frequency affect inductor current?

Higher frequency increases XL, lowering current.

What about DC current?

In steady DC, an ideal inductor acts as a short circuit.

Does resistance affect current?

Yes, series resistance limits steady-state DC current.

What are RL time constants?

τ=L/R controls rise or decay of current in transients.

What is initial current in an inductor?

Current cannot change instantly; it starts at its prior value.

How to reduce inductor current?

Increase inductance, increase frequency, or reduce voltage.

Rojony Khatun

Rojony Khatun

CalculatorToolsProject

Rojony Khatun is the creator of a free online tools website designed to simplify everyday and engineering-related calculations for students, professionals, and hobbyists. The platform offers a wide variety of basic and advanced calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators, helping users solve problems quickly and accurately.