Inductance Converter

Convert between henries, millihenries, microhenries, and other inductance units

About Inductance Measurement

What is Inductance?

Inductance is a fundamental electrical property that describes the ability of an electrical conductor to oppose changes in electric current. When current flows through a conductor, it creates a magnetic field around it. If the current changes, the magnetic field also changes, which induces a voltage that opposes the original change in current. This phenomenon is known as electromagnetic induction.

The SI unit of inductance is the henry (H), named after American scientist Joseph Henry. One henry is defined as the inductance of a circuit in which a change of current of one ampere per second induces an electromotive force of one volt. The mathematical relationship is expressed as:

V = -L × (di/dt)

Where: V = induced voltage, L = inductance, di/dt = rate of change of current

Common Inductance Units and Conversions

UnitSymbolValue in HenrysCommon Applications
HenryH1 HLarge transformers, motors
MillihenrymH10⁻³ HAudio chokes, small transformers
MicrohenryμH10⁻⁶ HRF circuits, power supplies
NanohenrynH10⁻⁹ HPCB traces, high-frequency circuits
PicohenrypH10⁻¹² HVery high-frequency applications

Types of Inductors and Their Applications

Inductor TypeTypical RangeReal-World ExamplesApplications
Air Core Inductor1 nH - 1 mHRadio antennas, RF filtersHigh-frequency circuits, wireless communication
Ferrite Core Inductor1 μH - 1 HPower supplies, DC-DC convertersEnergy storage, filtering, switching regulators
Iron Core Inductor1 mH - 100 HAudio amplifiers, power transformersLow-frequency applications, audio equipment
Toroidal Inductor1 μH - 10 HMedical equipment, precision instrumentsLow EMI, high efficiency applications

Inductance Measurement Tools

Accurate inductance measurement is crucial for circuit design and troubleshooting. Several specialized instruments are used depending on the frequency range and accuracy requirements:

LCR Meters

Professional instruments that measure inductance, capacitance, and resistance. They use AC signals at various frequencies to determine component values with high accuracy.

Impedance Analyzers

Advanced instruments that measure complex impedance over a wide frequency range, providing detailed analysis of inductor behavior.

Oscilloscopes with Function Generators

Used for measuring inductance by applying known frequencies and measuring the resulting voltage and current phase relationships.

Network Analyzers

High-frequency instruments that measure S-parameters and can characterize inductors at microwave frequencies.

Inductance - Current - Energy Relationship

The energy stored in an inductor is directly proportional to its inductance and the square of the current flowing through it. This relationship is fundamental to understanding how inductors work in energy storage applications.

E = ½ × L × I²

Where: E = stored energy (joules), L = inductance (henries), I = current (amperes)

Practical Example

A 100 mH inductor carrying 2 amperes stores: E = ½ × 0.1 H × (2 A)² = 0.2 joules of energy. This stored energy can be released when the current changes, making inductors useful in energy storage and filtering applications.

Inductance vs. Frequency Behavior

The effective inductance of a component varies with frequency due to parasitic effects. At low frequencies, the inductance remains relatively constant, but as frequency increases, parasitic capacitance and resistance begin to affect the component's behavior.

Z = jωL + R + 1/(jωC)

Where: Z = impedance, ω = angular frequency, L = inductance, R = resistance, C = parasitic capacitance

Why Inductance Measurement is Important

Accurate inductance measurement is critical across multiple industries and applications:

Electronics Manufacturing

  • • Quality control of inductor components
  • • Circuit board design verification
  • • Power supply efficiency optimization
  • • EMI/EMC compliance testing

Research and Development

  • • New material characterization
  • • High-frequency circuit design
  • • Wireless communication systems
  • • Energy storage technology

Power Systems

  • • Transformer design and testing
  • • Motor and generator analysis
  • • Power factor correction
  • • Grid stability monitoring

Safety and Reliability

  • • Fault detection in electrical systems
  • • Predictive maintenance
  • • Component aging analysis
  • • System performance optimization

Frequently Asked Questions

How does inductance affect AC circuits?

In AC circuits, inductance causes the current to lag behind the voltage by 90 degrees. This creates inductive reactance (XL = 2πfL), which increases with frequency and opposes current flow.

What is the difference between inductance and capacitance?

Inductance stores energy in a magnetic field and opposes changes in current, while capacitance stores energy in an electric field and opposes changes in voltage. They have opposite phase relationships in AC circuits.

How do I calculate the inductance of a coil?

For a simple solenoid: L = μ₀μᵣN²A/l, where μ₀ is permeability of free space, μᵣ is relative permeability, N is number of turns, A is cross-sectional area, and l is length.

Why do inductors have a maximum current rating?

Inductors have current limits due to wire gauge limitations, core saturation, and thermal considerations. Exceeding these limits can cause overheating, core saturation, or component failure.

Frequently Asked Questions About İnductance Conversion