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Inductance



Complete list of inductance units for conversion

  • henry [H]
  • 1 exahenry [EH] = 1.0E+18 henry [H]
  • 1 petahenry [PH] = 1.0E+15 henry [H]
  • 1 terahenry [TH] = 1000000000000 henry [H]
  • 1 gigahenry [GH] = 1000000000 henry [H]
  • 1 megahenry [MH] = 1000000 henry [H]
  • 1 kilohenry [kH] = 1000 henry [H]
  • 1 hectohenry [hH] = 100 henry [H]
  • 1 dekahenry [daH] = 10 henry [H]
  • 1 decihenry [dH] = 0.1 henry [H]
  • 1 centihenry [cH] = 0.01 henry [H]
  • 1 millihenry [mH] = 0.001 henry [H]
  • 1 microhenry [µH] = 1.0E-6 henry [H]
  • 1 nanohenry [nH] = 1.0E-9 henry [H]
  • 1 picohenry [pH] = 1.0E-12 henry [H]
  • 1 femtohenry [fH] = 1.0E-15 henry [H]
  • 1 attohenry [aH] = 1.0E-18 henry [H]
  • 1 weber/ampere [Wb/A] = 1 henry [H]
  • 1 abhenry [abH] = 1.0E-9 henry [H]
  • 1 EMU of inductance = 1.0E-9 henry [H]
  • 1 stathenry [stH] = 898755200000 henry [H]
  • 1 ESU of inductance = 898755200000 henry [H]

What is inductance and the units?

Inductance, measured in henries (H), is a crucial property in electrical engineering, indicating a component’s ability to store electrical energy in a magnetic field when current flows through it. Understanding the various units of inductance and their conversions is essential for accurate circuit design and analysis. For example, 1 exahenry (EH) equals 1.0E+18 henries, while 1 petahenry (PH) equals 1.0E+15 henries, representing extremely high inductance values used in specialized applications.

On a more common scale, 1 terahenry (TH) is equivalent to 1 trillion henries, 1 gigahenry (GH) corresponds to 1 billion henries, and 1 megahenry (MH) equals 1 million henries. Smaller inductance values can be expressed in kilohenries (kH), hectohenries (hH), and decihenries (dH), with corresponding values of 1,000, 100, and 0.1 henries, respectively.

For very low inductances, units such as millihenries (mH), microhenries (µH), nanohenries (nH), picohenries (pH), femtohenries (fH), and attohenries (aH) are used, equating to 0.001, 1.0E-6, 1.0E-9, 1.0E-12, 1.0E-15, and 1.0E-18 henries, respectively. Notably, 1 weber per ampere (Wb/A) also equals 1 henry, reflecting the fundamental relationship between magnetic flux and current.

Additionally, the abhenry (abH) and EMU of inductance are both equal to 1.0E-9 henries, applicable in certain scientific contexts. Conversely, the stathenry (stH) and ESU of inductance are approximately 898,755,200,000 henries, demonstrating their significance in electrostatics. These conversions are vital for engineers and scientists when analyzing and designing inductive components in electrical circuits.

Inductance is a fundamental property in electrical engineering that measures a component’s ability to store energy in a magnetic field when electric current flows through it. Understanding and converting between different units of inductance is crucial for engineers, technicians, and hobbyists working with electrical circuits. This article provides a comprehensive overview of the most common inductance units, popular conversions, and a handy conversion widget tool for quick reference.

What is Inductance?

Inductance, denoted by the symbol L, is defined as the ratio of the induced electromotive force (emf) to the rate of change of electric current. The basic unit of inductance in the International System of Units (SI) is the henry (H).

Formula

The relationship can be expressed mathematically as:L=VdidtL = \frac{V}{\frac{di}{dt}}L=dtdi​V​

Where:

  • L is the inductance in henries (H).
  • V is the induced voltage in volts (V).
  • di/dt is the rate of change of current in amperes per second (A/s).

Common Units of Inductance

  1. Henry (H): The SI unit of inductance.
  2. Millihenry (mH): One millihenry equals 10−310^{-3}10−3 henries.
  3. Microhenry (μH): One microhenry equals 10−610^{-6}10−6 henries.
  4. Nanohenry (nH): One nanohenry equals 10−910^{-9}10−9 henries.
  5. Picohenry (pH): One picohenry equals 10−1210^{-12}10−12 henries.

Conversion Table of Inductance Units

From (Unit)To (Unit)Conversion Factor
1 H1000 mH1 H=1000 mH1 \text{ H} = 1000 \text{ mH}1 H=1000 mH
1 H1,000,000 μH1 H=1,000,000 μH1 \text{ H} = 1,000,000 \text{ μH}1 H=1,000,000 μH
1 H1,000,000,000 nH1 H=1,000,000,000 nH1 \text{ H} = 1,000,000,000 \text{ nH}1 H=1,000,000,000 nH
1 mH0.001 H1 mH=0.001 H1 \text{ mH} = 0.001 \text{ H}1 mH=0.001 H
1 mH1000 μH1 mH=1000 μH1 \text{ mH} = 1000 \text{ μH}1 mH=1000 μH
1 mH1,000,000 nH1 mH=1,000,000 nH1 \text{ mH} = 1,000,000 \text{ nH}1 mH=1,000,000 nH
1 μH0.000001 H1 μH=0.000001 H1 \text{ μH} = 0.000001 \text{ H}1 μH=0.000001 H
1 μH0.001 mH1 μH=0.001 mH1 \text{ μH} = 0.001 \text{ mH}1 μH=0.001 mH
1 μH1000 nH1 μH=1000 nH1 \text{ μH} = 1000 \text{ nH}1 μH=1000 nH
1 nH0.000000001 H1 nH=0.000000001 H1 \text{ nH} = 0.000000001 \text{ H}1 nH=0.000000001 H
1 nH0.000001 mH1 nH=0.000001 mH1 \text{ nH} = 0.000001 \text{ mH}1 nH=0.000001 mH
1 nH0.001 μH1 nH=0.001 μH1 \text{ nH} = 0.001 \text{ μH}1 nH=0.001 μH
1 pH0.000000000001 H1 pH=0.000000000001 H1 \text{ pH} = 0.000000000001 \text{ H}1 pH=0.000000000001 H
1 pH0.000000001 mH1 pH=0.000000001 mH1 \text{ pH} = 0.000000001 \text{ mH}1 pH=0.000000001 mH
1 pH0.000001 μH1 pH=0.000001 μH1 \text{ pH} = 0.000001 \text{ μH}1 pH=0.000001 μH
1 pH1 nH1 pH=1 nH1 \text{ pH} = 1 \text{ nH}1 pH=1 nH

Popular Inductance Conversions

When working in various applications, certain conversions are more frequently needed than others. Here’s a look at some of the most searched conversions:

1. Henry to Millihenry

To convert henries to millihenries, multiply the value in henries by 1000.mH=H×1000\text{mH} = \text{H} \times 1000mH=H×1000

Example:
If you have 2 H and want to convert it to mH:2 H=2×1000=2000 mH2 \text{ H} = 2 \times 1000 = 2000 \text{ mH}2 H=2×1000=2000 mH

2. Millihenry to Microhenry

To convert millihenries to microhenries, multiply by 1000.μH=mH×1000\text{μH} = \text{mH} \times 1000μH=mH×1000

Example:
Converting 5 mH to μH:5 mH=5×1000=5000 μH5 \text{ mH} = 5 \times 1000 = 5000 \text{ μH}5 mH=5×1000=5000 μH

3. Microhenry to Nanohenry

To convert microhenries to nanohenries, multiply by 1000.nH=μH×1000\text{nH} = \text{μH} \times 1000nH=μH×1000

Example:
Converting 3 μH to nH:3 μH=3×1000=3000 nH3 \text{ μH} = 3 \times 1000 = 3000 \text{ nH}3 μH=3×1000=3000 nH

4. Nanohenry to Picohenry

To convert nanohenries to picohenries, multiply by 1000.pH=nH×1000\text{pH} = \text{nH} \times 1000pH=nH×1000

Example:
If you have 4 nH:4 nH=4×1000=4000 pH4 \text{ nH} = 4 \times 1000 = 4000 \text{ pH}4 nH=4×1000=4000 pH

5. Direct Conversion Example

Consider a practical example where you need to convert 0.25 H into various units:

  • Millihenries:

0.25 H=0.25×1000=250 mH0.25 \text{ H} = 0.25 \times 1000 = 250 \text{ mH}0.25 H=0.25×1000=250 mH

  • Microhenries:

0.25 H=0.25×1,000,000=250,000 μH0.25 \text{ H} = 0.25 \times 1,000,000 = 250,000 \text{ μH}0.25 H=0.25×1,000,000=250,000 μH

  • Nanohenries:

0.25 H=0.25×1,000,000,000=250,000,000 nH0.25 \text{ H} = 0.25 \times 1,000,000,000 = 250,000,000 \text{ nH}0.25 H=0.25×1,000,000,000=250,000,000 nH

  • Picohenries:

0.25 H=0.25×1,000,000,000,000=250,000,000,000 pH0.25 \text{ H} = 0.25 \times 1,000,000,000,000 = 250,000,000,000 \text{ pH}0.25 H=0.25×1,000,000,000,000=250,000,000,000 pH