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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:
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⚙ 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 Oersted (Oe) = (1,000) / (4π) A/m ≈ 79.57747 A/m = 0.079577 kA/m = 0.79577 A/cm

1 Ampere/meter = (4π) / (1,000) Oe ≈ 0.01256637 Oe = 12.56637 mOe = 10^-3 kA/m

1 A/cm = 100 A/m = 1.256637 Oe | 1 A/in = 39.370 A/m = 0.4947 Oe

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

B = μ H = μ_r μ_0 H = μ_0

Where μ_0 = 4π × 10^-7 H/m ≈ 1.256637 × 10^-6 T/

In vacuum/air: 1 Oe 1 Gauss = 10^-4 Tesla = 100\ μT

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

How to Use This Calculator

Enter your Magnetic Field Strength (H / Magnetizing Force) (e.g. 1000 in H), From Magnetic Field Strength Unit — choose from Amperes per meter (A/m = At/m - SI Base Standard), Oersteds (Oe = (1000/4π) A/m ≈ 79.577 A/m - CGS Unit), Kiloamperes per meter (kA/m = 1,000 A/m), To Magnetic Field Strength Unit — choose from Oersteds (Oe), Amperes per meter (A/m), Kiloamperes per meter (kA/m), Medium Relative Permeability (μ_r) (e.g. 1.0 for air, 2000 for ferrite in μ_r), and Electromagnetic Field Benchmark — choose from Custom Field Strength, Earth Geomagnetic Surface Field (39.79 A/m = 0.50 Oe) → B = 50.0 µT (0.50 Gauss), Industrial Solenoid Coil (1,000.0 A/m = 12.57 Oe) → B₀ = 1.257 mT (12.57 Gauss in air). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Magnetic Flux Density B = mu_r mu_0 H (Tesla)

Worked 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.

Understanding Your Result

Unit conversions are exact by definition within a given measurement system (e.g., 1 km = exactly 1,000 m). Cross-system conversions (metric to imperial) use defined exchange factors: 1 inch = exactly 2.54 cm; 1 pound = 0.45359237 kg. Round your converted result to match the precision of your original measurement — expressing more decimal places than your input justifies implies false accuracy. For regulatory, legal, or safety-critical applications, verify which measurement system is required by the applicable standard.

💡 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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