Inductance from Flux Linkage

L = N · Φ / I

Calculator

Result
—

Formula

L = N × Φ / I

Description

Inductance is defined as the total flux linkage (turns times flux per turn) produced per ampere of current. This is the fundamental definition from which all inductor geometry formulas derive: pack more turns or guide more flux per turn (with a high-permeability core) and the inductance rises. It links the magnetic-circuit view of a coil to its circuit-level inductance.

Variables

  • L — Inductance (H)
  • N — Number of turns
  • Φ — Magnetic flux per turn (Wb)
  • I — Current producing the flux (A)

Practical Notes

Because Φ = F/S = NI/S, this reduces to L = N²/S—inductance grows with the square of turns and inversely with core reluctance. Saturation makes Φ sublinear in I, lowering effective L at high current.

Related Concepts

All Magnetics & Transformers formulas →
Transformer EMF Equation Transformer VA Rating Transformer Voltage Regulation Transformer Current Ratio Transformer Copper Loss Transformer Iron (Core) Loss Transformer Turns-per-Volt Transformer Impedance Matching

Need more features?

Save calculations, import telemetry data, simulate battery discharge, and collaborate with your team.

Try the App