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Magnetic Field Strength (H

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### Magnetic Field Strength (H), Oersteds & Flux Density (B) Metrology Magnetic Field Strength ($H$, also called magnetic field intensity or magnetizing force) quantifies the magnetic excitation.

Reviewed by Sheraz Share · BSCS
Last updated:
Editorial Guidelines

Input Values

H
μ_r

📊 Results

Converted Field Intensity
12.5664
Field Units
Field Strength in SI (A/m = At/m)
1,000
A/m
Field Strength in Oersteds (Oe)
12.566
Oe
Field Strength in kA/m
1
kA/m
Magnetic Flux Density (B = μ_r·μ₀·H)
0.0013
Tesla (T)
Magnetic Flux Density in Gauss (G)
12.5664
Gauss (G)
Electromagnetic Metrology & Material Response Summary
Electromagnetic Field Profile (Industrial Solenoid Coil): Converted Field Intensity = 12.566 oersteds oe. Standard SI Value: H = 1.000 kA/m ≡ 12.57 Oersteds (Oe). Magnetic Induction Response (μ_r = 1): B = 1256.64 µT ≡ 12.57 Gauss (G). Metrology Distinction: Magnetic field strength (H) represents the magnetizing force produced by moving charges or coil currents (independent of medium), while magnetic flux density (B = μ_r·μ₀·H) represents the total induced magnetic flux per unit area including medium magnetization. In vacuum/air (μ_r = 1), 1 Oersted equals exactly 1 Gauss (100 µT).
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📐 Formula

Magnetic Flux Density B = mu_r * mu_0 * H (Tesla)

💡 Practical Example

A magnetics engineer evaluating the coercivity of an NdFeB permanent magnet rated at 11,000 Oersteds multiplies by 79.5775 to find the coercivity is 875.35 kA/m, ensuring the magnet will not demagnetize under opposing stator field surges.

📖 About Magnetic Field Strength (H

Magnetic Field Strength (H), Oersteds & Flux Density (B) Metrology

Magnetic Field Strength ($H$, also called magnetic field intensity or magnetizing force) quantifies the magnetic excitation generated by electric currents, independent of the medium's magnetic response:

  • **
  • Universal Field Intensity Conversion Formulas (SI & CGS)**:

$$1\text{ Oersted (Oe)} = \frac{1,000}{4\pi}\text{ A/m} \approx 79.57747\text{ A/m} = 0.079577\text{ kA/m} = 0.79577\text{ A/cm}$$

$$1\text{ Ampere/meter} = \frac{4\pi}{1,000}\text{ Oe} \approx 0.01256637\text{ Oe} = 12.56637\text{ mOe} = 10^{-3}\text{ kA/m}$$

$$1\text{ A/cm} = 100\text{ A/m} = 1.256637\text{ Oe} \quad | \quad 1\text{ A/in} = 39.370\text{ A/m} = 0.4947\text{ Oe}$$

  • **
  • The Fundamental Relationship Between $H$ and $B$**:

$$\mathbf{B} = \mu \mathbf{H} = \mu_r \mu_0 \mathbf{H} = \mu_0$$

$$\text{Where } \mu_0 = 4\pi \times 10^{-7}\text{ H/m} \approx 1.256637 \times 10^{-6}\text{ T}/$$

$$\text{In vacuum/air: } 1\text{ Oe} \iff 1\text{ Gauss} = 10^{-4}\text{ Tesla} = 100\ \mu\text{T}$$

  • **
  • Standard Electromagnetic Field Benchmarks**:
  • Earth Surface Geomagnetic Field: $\mathbf{39.79\text{ A/m}} = 0.50\text{ Oe} \implies B = 50.0\ \mu\text{T} = 0.50\text{ Gauss}$
  • Industrial Solenoid Coil: $\mathbf{1,000.0\text{ A/m}} = 12.57\text{ Oe} \implies B_0 = 1.257\text{ mT} = 12.57\text{ Gauss}$
  • Silicon Steel Core: $\mathbf{200.0\text{ A/m}} = 2.51\text{ Oe} \xrightarrow{\mu_r = 4000} B = 1.005\text{ Tesla} = 10,053\text{ G}$
  • NdFeB N52 Coercivity: $\mathbf{875.0\text{ kA/m}} = 10,996\text{ Oe} \implies$ Intrinsic demagnetization threshold $H_{cj}$
  • 3.0T MRI Superconducting Magnet: $\mathbf{2,387.3\text{ kA/m}} = 30,000\text{ Oe} \implies B_0 = 3.00\text{ Tesla}$

How to Use This Calculator

Enter Magnetic Field Strength, From Magnetic Field Strength Unit, To Magnetic Field Strength Unit, Medium Relative Permeability (μ_r) into the input fields and the calculator will instantly compute Converted Field Intensity, Field Strength in SI. All calculations happen in real time — no submission or page reload required. You can adjust any input value and see the result update immediately.

Understanding Your Result

The Magnetic Field Strength (H) & Oersted Converter result gives you a precise, calculated value based on the inputs you provide. Compare your result against published benchmarks from NIST, BIPM, and ISO 80000 to assess where you stand. A single calculation is a useful starting point, but tracking this metric over time — as inputs change — gives you a much more complete picture.

Practical Application

The Magnetic Field Strength (H) & Oersted Converter is most useful when you have specific, real-world data to enter. For example: enter your actual Magnetic Field Strength to calculate your converted field intensity. The result helps engineers, scientists, students, and international traders make informed decisions about converting between measurement units for science, engineering, and commerce. This calculator is trusted by professionals and individuals alike because it follows the exact formulas validated by NIST, BIPM, and ISO

80000.

Accuracy Notes and Limitations

For legal or trade filings, verify conversions against official government or standards body references. The accuracy of any calculator is limited by the quality of the inputs provided. Double-check your units before entering values — unit errors are the most common source of incorrect results. For critical decisions, cross-reference with at least one additional source or professional consultation.

Frequently Used With

This calculator is often used alongside other conversion tools to build a complete analytical picture. Combining multiple related calculations provides stronger evidence for decisions than relying on any single metric. Browse the Conversion category to find complementary calculators for your specific use case.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

Frequently Asked Questions

What is the difference between Magnetic Field Strength (H) and Magnetic Flux Density (B)?

Magnetic Field Strength represents the external magnetizing force created by electric currents, independent of the medium. Magnetic Flux Density (B, in Tesla or Gauss) represents the actual total magnetic field inside a medium, equal to B = μ_r·μ₀·H. In air (μ_r ≈ 1), H and B are proportional by μ₀, but inside ferromagnetic cores, B is multiplied thousands of times by the relative permeability μ_r.

How do you convert Oersteds (Oe) to Amperes per meter?

Multiply the value in Oersteds by 1000 / (4π) ≈ 79.57747. For example, a magnetic field of 10 Oersteds equals 10 × 79.5775 = 795.775 A/m.

Why is 1 Oersted equal to 1 Gauss in air under CGS units?

In the CGS-EMU system, the permeability of free space (μ₀) is defined as exactly 1.0 (dimensionless). Therefore, in vacuum or air, a magnetizing field of 1 Oersted induces a magnetic flux density of exactly 1 Gauss (0.0001 Tesla).

What is magnetic coercivity (Hc) in permanent magnets?

Magnetic coercivity is the intensity of the reverse magnetic field required to reduce the magnetization of a magnetized material back to zero after it has been saturated. Modern Neodymium magnets exhibit high coercivity.

How is magnetic field strength (H) related to coil turns and current?

For an ideal long solenoid or closed magnetic core, H = / l, where N is the number of turns, I is current in Amperes, and l is the core length in meters. Hence, H is often expressed as Ampere-turns per meter.

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