Physics

Solenoid Inductance Calculator

Find the inductance of an air-core solenoid.

Number of turns

Cross-section area (cm²)

Length

Calculated Output

Inductance (H) 0.0003

Inductance (mH) 0.2513

Formula: L = μ₀·N²·A ÷ l

Step-by-Step Breakdown

1. Values used:

2. Number of turns = 200

3. Cross-section area = 5 cm²

4. Length = 10

6. Inductance = 0.0003H

7. Inductance = 0.2513mH

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The math behind it

L = μ₀·N²·A ÷ l for a long air-core coil. A magnetic core multiplies this by the relative permeability.

200 turns, 5 cm², 10 cm → about 0.25 mH.

Why N squared?

More turns both create and link more flux, so inductance scales with N².