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Inductance Calculator

Calculate inductance, magnetic flux, and impedance in inductive components. Analyze series and parallel inductors for electronic and power system applications.

About Inductance Calculator

Understanding Inductance

The phenomenon of electromagnetic induction was discovered by Michael Faraday in 1831. The concept of inductance was later formalized by James Clerk Maxwell and Joseph Henry, leading to the development of modern electromagnetic theory and the design of inductors as fundamental electronic components.

Mathematical Foundation

V = L × (dI/dt)
E = ½LI²
L = N²μA/l
  • V = Induced voltage (V)
  • L = Inductance (H)
  • I = Current (A)
  • E = Energy stored (J)
  • N = Number of turns
  • μ = Permeability
  • A = Core area (m²)
  • l = Core length (m)

Types of Inductors

Air Core Inductors

  • No magnetic core
  • Linear response
  • High frequency use
  • Low inductance values

Iron Core Inductors

  • Ferromagnetic core
  • Higher inductance
  • Power applications
  • Saturation limits

Ferrite Core Inductors

  • High frequency use
  • Lower losses
  • EMI suppression
  • Temperature stable

Applications

Power Systems

  • Power supplies (1-100H)
  • Motors (10-1000mH)
  • Transformers (0.1-1000H)
  • Grid equipment (1-1000H)

Electronics

  • RF circuits (0.1-100μH)
  • Filters (1-1000μH)
  • EMI suppression (1-100mH)
  • Sensors (0.1-10mH)

Design Considerations

Core Properties

  • Permeability: 1-100,000
  • Saturation flux
  • Core losses
  • Temperature effects

Operating Parameters

  • Current rating
  • Frequency range
  • Temperature range
  • Size constraints

Circuit Effects

Time Domain

  • Current lag
  • Energy storage
  • Transient response
  • Back EMF

Frequency Domain

  • Impedance: XL = 2πfL
  • Phase shift: 90°
  • Resonance effects
  • Filter characteristics