Download your PDF
Solenoid Inductance Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Solenoid Inductance Calculator — result sheet
Estimate the ideal self-inductance and stored energy of a long solenoid from its turns, area, length, permeability, and current.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: L = μ₀μᵣN²A/l; U = ½LI².
The long-solenoid approximation connects physical coil geometry and core permeability with self-inductance, then applies the ideal inductor-energy relation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of turns — minimum 1; maximum 100000000
- Cross-sectional area — m²; minimum 1.0E-12; maximum 1000000
- Solenoid length — m; minimum 1.0E-6; maximum 1000000
- Relative permeability — minimum 1.0E-6; maximum 1000000
- Current — A; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Number of turns | 500 |
| Cross-sectional area | 0.0001 |
| Solenoid length | 0.1 |
| Relative permeability | 1 |
| Current | 1 |
The ideal inductance is about 0.314 mH and stored energy is about 0.000157 J.
Assumptions and limits
- The solenoid is long compared with its diameter and the magnetic field is treated as uniform inside it.
- Relative permeability is constant and the core is linear over the entered current.
- End effects, leakage flux, saturation, winding resistance, heating, and parasitic capacitance are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.