Utility Last updated: July 2026

Inductor Calculator

Model solenoid electromagnetic components. Input physical characteristics including turns, outer core diameter, coil length, and core magnetic properties to compute estimated inductance in microhenries.

How to Use the Inductor Calculator

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Mathematical Formula & Logic

Inductance (uH) = (Diameter^2 * Turns^2 * Core Permeability) / (18 * Diameter + 40 * Coil Length)
Variable Glossary
N Total number of winding turns
d / l Coil diameter and coil physical length measured in inches
mu_rel Relative permeability of internal core material compared to air vacuum

Step-by-Step Worked Calculation

Scenario: Calculating Inductance for an Air-Core Solenoid

Size a coil with 30 turns, 0.5-inch diameter, and 1.2-inch physical length with an air core.

1

Step 1: Establish variables: d = 0.5, l = 1.2, N = 30, mu = 1.

2

Step 2: Solve numerator: 0.5^2 × 30^2 × 1 = 0.25 × 900 = 225.

3

Step 3: Solve denominator: 18 × 0.5 + 40 × 1.2 = 9 + 48 = 57.

4

Step 4: Solve final Wheeler inductance: 225 / 57 ≈ 3.947 µH.

How to Use the Inductor Calculator

  1. 1. Enter the total number of physical coil wire windings (Turns).
  2. 2. Input physical coil diameter (measured in inches).
  3. 3. Input the continuous physical coil length (measured in inches).
  4. 4. Select core material properties (Air, Ferrite, or Soft Iron Powder).
  5. 5. Instantly read equivalent inductance in microhenries (µH) or millihenries (mH).

What Is a Inductor Calculator?

Inductor Calculator is a practical utility tool that helps you perform a useful everyday calculation or conversion. It provides quick, accurate results for a specific practical task without requiring specialized knowledge.

Why This Calculation Matters

Everyday calculations come up constantly in personal and professional life. Inductor Calculator saves you time and ensures accuracy for tasks that might otherwise require manual computation or specialized tools. Whether you need a quick reference, a precise calculation, or a simple conversion, this utility delivers instant results.

Historical Background

Practical calculation tools have been part of human civilization since the invention of the abacus in ancient Mesopotamia around 2400 BCE. The slide rule, invented in the 17th century, remained a standard tool until electronic calculators became widespread in the 1970s. Inductor Calculator continues this tradition of practical computation tools, leveraging modern technology for everyday convenience.

Frequently Asked Questions

Complete indexable directory of answers (5 questions)

What is Wheeler's formula?

Wheeler's formula is an empirical approximation for single-layer solenoid coils. It is accurate within 1% for coils where length is greater than 0.4 times diameter.

How does core material affect inductance?

Magnetic core materials like ferrites concentrate magnetic field lines, multiplying system inductance by their relative magnetic permeability rating.

How does the Inductor Calculator calculate its results?

The Inductor Calculator uses verified mathematical formulas processed entirely in your browser. Calculator inputs and results are never sent to external servers. We do use Google Analytics and AdSense for standard website operation — see our Privacy Policy for details.

Is my data safe when using this Inductor Calculator?

Yes. All calculations happen locally in your browser. We never store, transmit, or log any input data you enter into the calculator.

What should I do if I get an unexpected result?

Double-check that all inputs are valid numbers within reasonable ranges. If you believe there is an error, please contact us with your input values and we will investigate.