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Solenoid Inductance from Geometry Calculator

Inductance of a long solenoid from turns, length, and radius.

Computes the self-inductance of a solenoid coil: L = μ₀ · N² · A / l, where μ₀ = 4π×10⁻⁷ H/m, N is number of turns, A is cross-sectional area, and l is the coil length.

Priya Venkatesan By Priya Venkatesan
Published Last reviewed 1 min read

Inputs

m
m

Results

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

L = μ₀ · N² · π · r² / l

In depth

Computes the self-inductance of a solenoid coil: L = μ₀ · N² · A / l, where μ₀ = 4π×10⁻⁷ H/m, N is number of turns, A is cross-sectional area, and l is the coil length.