Magnetic Field Strength Converter
Print pageAll Equivalents Reference Table
| Unit | Equivalent Value |
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Magnetic Field Strength (also known as Magnetizing Intensity, Auxiliary Magnetic Field, H-Field, Magnetic Excitation Field, or Linear Current Density Magnitude, symbolized by H) measures the strength and direction of the magnetic field produced by electric currents or magnetizing potentials, independent of the medium’s internal magnetization or magnetic permeability (H = B ÷ μ = (N · I) ÷ l = K, where B is magnetic flux density in teslas or gauss, μ = μ0 · μr is medium permeability, N is solenoid turn count, I is current in amperes, l is coil magnetic length, and K is surface linear current density). Across permanent magnet coercivity testing (Hc), industrial electric motor stator slot design, solenoid actuator optimization, geomagnetic field mapping, particle accelerator steering magnet engineering, and superconducting MRI magnet shielding, magnetic field strength is categorized across three major engineering unit families: International System of Units (SI metric fundamental: Ampere per Meter / A/m, Ampere-Turn per Meter / At/m, Kiloampere per Meter / kA/m), CGS Electromagnetic System units (Oersted / Oe), and Imperial/US Conversions.
Our free online Magnetic Field Strength Converter provides instant, high-precision conversions across all SI metric, CGS Oersted, and permanent magnet coercivity units:
- Ampere-Turn per Meter to Ampere per Meter [SI Fundamental Identity]:
1 At/m = 1.0 Ampere per Meter (A/m)(100% mathematically identical derived SI base unit). - Oersted (Oe) to Ampere per Meter & kA/m [CGS to SI Standard]: Multiply Oersteds by
79.5774715459(1 Oersted = 1,000 ÷ 4π A/m = 79.5775 A/m = 0.0795775 kA/m ⇒ 1 A/m = 4π ÷ 1,000 Oe = 0.01256637061 Oersteds). - Kiloampere per Meter to Ampere per Meter & Oersteds [Coercivity Standard]: Multiply kA/m by
1,000.0(1 kA/m = 1,000.0 A/m = 12.56637061 Oersteds ⇒ 1 A/m = 0.001 kA/m).
Master Magnetic Field Strength Conversion Table
The table below displays exact mathematical conversion relationships, SI Ampere per Meter (A/m) multipliers, and Oersted (Oe) equivalents relative to 1 A/m (1 A/m = 1.0 At/m = 0.001 kA/m = 0.01256637 Oe):
| Magnetic Field Strength Unit Name | Symbol | Exact Value in Ampere/meter (A/m) | kA/m & Oersted (Oe) Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Ampere per Meter (Base SI Unit) | A/m |
1.0 A/m (Base SI Unit) |
0.01256637 Oe (1.0 At/m / 0.001 kA/m / 0.012566 Oe) |
SI Fundamental Base Unit of Magnetizing Field Strength (H) |
| 1 Ampere-Turn per Meter | At/m |
1.0 A/m (Identical to A/m) |
0.01256637 Oe (1.0 A/m / 0.001 kA/m / 0.012566 Oe) |
Solenoid Coil Winding Density Field Strength Metric |
| 1 Kiloampere per Meter | kA/m |
1,000.0 A/m (103 A/m) |
12.56637061 Oe (1.0 kA/m / 1,000.0 A/m / 12.566 Oe) |
Permanent Magnet Coercivity (Hc) & Heavy Solenoid Standard |
| 1 Oersted (CGS H-Field Unit) | Oe |
79.57747155 A/m (1,000 ÷ 4π A/m) |
1.0 Oe (0.0795775 kA/m / 79.5775 At/m) |
CGS Electromagnetic System Field Strength Unit (IEC 1930) |
Step-by-Step Solenoid Coil & NdFeB Magnet Coercivity Calculation Example
To calculate the magnetic field strength (H) inside a solenoid coil wound with 1,000 turns per meter carrying a current of 2.0 Amperes (n = 1,000 turns/m, I = 2.0 A), and calculate the intrinsic coercivity (Hc) of a high-grade NdFeB N52 neodymium permanent magnet rated at 1,000 Kiloamperes per meter (Hc = 1,000.0 kA/m) into Ampere/meter (A/m), Kiloampere/meter (kA/m), and Oersteds (Oe):
Step 1 (Solenoid H-Field Calculation): H = n · I = 1,000 turns/m × 2.0 A = 2,000.0 Ampere/meter (2,000.0 A/m)
Step 2 (Solenoid kA/m & Oersted Conversion): H = 2,000.0 A/m ÷ 1,000 = 2.0 kA/m; HOe = 2,000.0 × 0.01256637061 = 25.13274 Oersteds (25.13 Oe)
Step 3 (NdFeB Magnet Coercivity in A/m): Hc = 1,000.0 kA/m × 1,000 = 1,000,000.0 Ampere/meter (1.0 × 106 A/m)
Step 4 (NdFeB Magnet Coercivity in Oersteds): Hc_Oe = 1.0 × 106 A/m × 0.01256637061 = 12,566.37 Oersteds (12,566.4 Oe)
Thus, the solenoid generates an internal H-field of 2.0 kA/m (25.13 Oe), while the NdFeB N52 permanent magnet exhibits a high coercivity of 1,000 kA/m (12,566.4 Oe).
Real-World Electromagnetic & Coercivity Benchmarks
Below is a comparative reference chart showing magnetic field strength values (H) across planetary fields, solenoids, magnetic cores, permanent magnets, and MRI machines:
| Physical System / Magnetic Material | Magnetic Field Strength in A/m | kA/m & Oersted (Oe) Equivalent | Electromagnetics & Materials Physics Context |
|---|---|---|---|
| Earth Geomagnetic Surface Field Intensity (Average) | 31.83 A/m | 0.40 Oe (0.03183 kA/m / 31.83 At/m) | Terrestrial planetary geomagnetic H-field baseline |
| Soft Iron Magnetic Transformer Core Coercivity (Hc) | 80.0 A/m | 1.0053 Oe (0.080 kA/m / 80.0 At/m) | Low coercivity threshold for soft ferromagnetic cores |
| Long Air-Core Solenoid Coil (1,000 turns/m at 2A) | 2,000.0 A/m (2.0 kA/m) | 25.1327 Oe (2.0 kA/m / 2,000.0 At/m) | Standard industrial air-core solenoid internal H-field |
| NdFeB N52 Neodymium Permanent Magnet Coercivity (Hc) | 1,000,000.0 A/m (1,000.0 kA/m) | 12,566.37 Oe (1,000.0 kA/m / 1.0 × 106 At/m) | Demagnetization resistance coercivity rating for rare-earth magnet |
| Superconducting 1.5-Tesla MRI Magnet Bore H-Field (in air) | 1,193,662.0 A/m (1,193.66 kA/m) | 15,000.0 Oe (1,193.66 kA/m) | 1.5T medical imaging magnetic field strength (H = B/μ0) |
History & Physics: 1820 Hans Christian Ørsted vs 1820 Ampère’s Circuital Law
1820 Hans Christian Ørsted & The Oersted Unit (1 Oe = 79.5775 A/m)
In April 1820, Danish physicist Hans Christian Ørsted discovered electromagnetism by demonstrating that an electric current flowing through a wire deflects a nearby magnetic compass needle. In 1930, the International Electrotechnical Commission (IEC) officially named the CGS unit of magnetic field strength the Oersted (Oe) in his honor: 1 Oe = 1,000 ÷ 4π Ampere/meter ≈ 79.57747 A/m.
1820 André-Marie Ampère & Constitutive Relation (B = μ0 · (H + M))
Formulated by French physicist André-Marie Ampère, Ampère’s Circuital Law states that the line integral of magnetic field strength H around a closed path equals the enclosed free electric current: ∮ H · dl = Ienc. In magnetic materials, H-field relates to magnetic flux density B and magnetization M via: B = μ0 · (H + M) = μ0 · μr · H (where μ0 = 4π × 10-7 H/m is vacuum permeability).
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Frequently Asked Questions (FAQ)
How do you convert Oersteds (Oe) to Ampere per Meter (A/m)?
To convert Oersteds to Ampere per Meter, multiply Oe by 79.57747155 (1,000 ÷ 4π). For example, 25 Oe × 79.57747 = 1,989.437 A/m (1.989 kA/m).
How do you convert Ampere per Meter (A/m) to Oersteds (Oe)?
To convert Ampere per Meter to Oersteds, multiply A/m by 0.01256637061 (4π ÷ 1,000). For example, 1,000 A/m × 0.0125664 = 12.56637 Oersteds (12.566 Oe).
How do you convert Kiloampere per Meter (kA/m) to Ampere per Meter (A/m)?
To convert Kiloampere per Meter to Ampere per Meter, multiply kA/m by 1,000. For example, 1,000.0 kA/m × 1,000 = 1,000,000.0 A/m (1.0 × 106 A/m).
Is 1 Ampere-Turn per Meter (At/m) equal to 1 Ampere per Meter (A/m)?
Yes! 1 Ampere-Turn per Meter (At/m) is 100% mathematically identical to 1 Ampere per Meter (A/m) (1 A/m = 1 At/m).