Magnetic Field Converter

Magnetic Field Converter: Tesla, Gauss, A/m, Oersted - Complete Guide to Magnetic Flux Density & Field Strength

Magnetic fields are invisible forces that surround magnets, electric currents, and even our entire planet. Understanding magnetic field units is essential for electrical engineers, physicists, MRI technicians, and anyone working with electromagnets or motors. But here's the crucial distinction most people miss: there are TWO fundamentally different magnetic measurements—B-field (flux density) and H-field (field strength)—and converting between them requires knowing the material's magnetic properties. This guide explains Tesla, Gauss, A/m, Oersted, and the physics behind magnetic field measurements.

About This Tool
This converter handles both B-field (magnetic flux density) and H-field (magnetic field strength) units. B-field units (Tesla, Gauss, Weber/m²) measure the actual magnetic force, while H-field units (A/m, Oersted) measure the magnetizing force. CRITICAL: Converting between B and H requires knowing the material's permeability. Our converter assumes vacuum/air (μᵣ = 1) where B = μ₀ × H. In magnetic materials like iron (μᵣ up to 100,000), the relationship changes dramatically.

What is a Magnetic Field?

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. Magnetic fields are produced by moving charges (electric currents) and intrinsic magnetic moments of elementary particles (like electrons).

The Two Magnetic Field Quantities

B-field (Magnetic Flux Density)

Measures the actual magnetic force experienced by a moving charge. Includes the effect of the material. Units: Tesla (T), Gauss (G), Weber/m².

Formula: F = q(v × B)

where: F = force, q = charge, v = velocity, B = flux density

H-field (Magnetic Field Strength)

Measures the magnetizing force that creates the field, independent of the material. Units: Ampere/meter (A/m), Oersted (Oe).

Formula: H = B/μ₀ - M (in vacuum: H = B/μ₀)

where: μ₀ = permeability of free space = 1.257×10⁻⁶ T·m/A, M = magnetization

Relationship Between B and H

In vacuum or air: B = μ₀ × H. In magnetic materials: B = μ₀ × μᵣ × H, where μᵣ is relative permeability (1 for air, up to 100,000+ for some materials!)

CRITICAL: You cannot convert A/m to Tesla without knowing the material! Our converter assumes vacuum (air) where μᵣ = 1. In iron or other magnetic materials, the relationship is completely different.

Magnetic Field Quick Facts

Earth's magnetic field is about 25-65 microtesla (0.25-0.65 Gauss) at the surface—enough to deflect compass needles

A refrigerator magnet produces about 0.001 Tesla (10 Gauss) at its surface

MRI machines use 1.5 to 7 Tesla—up to 140,000× stronger than Earth's field!

The strongest continuous magnetic field ever created in a lab: 45.5 Tesla (Florida State University)

Neutron stars have magnetic fields up to 100 million Tesla—the strongest in the universe

The human brain produces magnetic fields of about 1-10 picotesla, measurable by MEG scans

Maglev trains use magnetic fields of 1-4 Tesla to levitate and propel trains at 600+ km/h

1 Tesla = 10,000 Gauss exactly (defined relationship between SI and CGS systems)

Conversion Formulas - How to Convert Magnetic Field Units

Magnetic field conversions fall into two categories: B-field (flux density) conversions are straightforward, while B-field ↔ H-field conversions require material properties.

B-field (Flux Density) Conversions - Tesla ↔ Gauss

Base unit: Tesla (T) = 1 Weber/m² = 1 kg/(A·s²)

FromToFormulaExample
TGG = T × 10,0000.001 T = 10 G
GTT = G ÷ 10,0001 G = 0.0001 T
TmTmT = T × 1,0000.001 T = 1 mT
TµTµT = T × 1,000,0000.00005 T = 50 µT
GmGmG = G × 1,0000.5 G = 500 mG

Quick Tip: Remember: 1 T = 10,000 G exactly. Earth's field ≈ 50 µT = 0.5 G.

Practical: MRI scan: 1.5 T = 15,000 G. Fridge magnet: 0.01 T = 100 G.

H-field (Field Strength) Conversions - A/m ↔ Oersted

Base unit: Ampere per meter (A/m) - SI unit for magnetizing force

FromToFormulaExample
OeA/mA/m = Oe × 79.57751 Oe = 79.58 A/m
A/mOeOe = A/m ÷ 79.57751000 A/m = 12.57 Oe
kA/mOeOe = kA/m × 12.56610 kA/m = 125.7 Oe

Quick Tip: 1 Oersted ≈ 79.58 A/m. Used in electromagnet design and magnetic recording.

Practical: Hard disk coercivity: 200-300 kA/m. Electromagnet: 1000-10000 A/m.

Converting B-field ↔ H-field (VACUUM ONLY)

These conversions ONLY work in vacuum or air (μᵣ = 1). In magnetic materials, the relationship depends on permeability!
FromToFormulaExample
A/mTT = A/m × μ₀ = A/m × 1.257×10⁻⁶1000 A/m = 0.001257 T
TA/mA/m = T ÷ μ₀ = T ÷ 1.257×10⁻⁶0.001 T = 795.8 A/m
OeGG ≈ Oe (in vacuum)1 Oe ≈ 1 G in air
OeTT = Oe × 0.0001100 Oe = 0.01 T

Material formula: In materials: B = μ₀ × μᵣ × H, where μᵣ = relative permeability

μᵣ Values for Common Materials

Materialμᵣ Value
Vacuum, air1.0
Aluminum, copper~1.0
Nickel100-600
Mild steel200-2,000
Silicon steel1,500-7,000
Permalloy8,000-100,000
Supermalloyup to 1,000,000

In iron (μᵣ ≈ 2000), 1000 A/m creates 2.5 T, not 0.00126 T!

CRITICAL: Understanding B-field vs H-field

Confusing B and H can lead to catastrophic errors in electromagnet design, motor calculations, and magnetic shielding!

  • B-field (Tesla, Gauss) is what you MEASURE with a gaussmeter or Hall probe
  • H-field (A/m, Oersted) is what you APPLY with current through coils
  • In air: 1 Oe ≈ 1 G and 1 A/m = 1.257 µT (our converter uses this)
  • In iron: Same H-field produces 1000× stronger B-field due to material magnetization!
  • MRI specifications use B-field (Tesla) because that's what affects the body
  • Electromagnet design uses H-field (A/m) because that's what current creates

Understanding Each Magnetic Field Unit

Tesla (T)(B-field)

Definition: SI unit of magnetic flux density. 1 T = 1 Weber/m² = 1 kg/(A·s²)

Named after: Nikola Tesla (1856-1943), inventor and electrical engineer

Usage: MRI machines, research magnets, motor specifications

Typical values: Earth: 50 µT | Fridge magnet: 10 mT | MRI: 1.5-7 T

Gauss (G)(B-field)

Definition: CGS unit of magnetic flux density. 1 G = 10⁻⁴ T = 100 µT

Named after: Carl Friedrich Gauss (1777-1855), mathematician and physicist

Usage: Older equipment, geophysics, industrial gaussmeters

Typical values: Earth: 0.5 G | Speaker magnet: 1-2 G | Neodymium magnet: 1000-3000 G

Ampere per meter (A/m)(H-field)

Definition: SI unit of magnetic field strength. Current per unit length that creates the field.

Usage: Electromagnet design, coil calculations, magnetic materials testing

Typical values: Earth: 40 A/m | Solenoid: 1000-10000 A/m | Industrial magnet: 100 kA/m

Oersted (Oe)(H-field)

Definition: CGS unit of magnetic field strength. 1 Oe = 79.5775 A/m

Named after: Hans Christian Ørsted (1777-1851), discovered electromagnetism

Usage: Magnetic recording, permanent magnet specifications, hysteresis loops

Typical values: Hard disk coercivity: 2000-4000 Oe | Permanent magnet: 500-2000 Oe

Microtesla (µT)(B-field)

Definition: One millionth of a Tesla. 1 µT = 10⁻⁶ T = 0.01 G

Usage: Geophysics, navigation, EMF measurements, biomagnetism

Typical values: Earth's field: 25-65 µT | Brain (MEG): 0.00001 µT | Power lines: 1-10 µT

Gamma (γ)(B-field)

Definition: Equal to 1 nanotesla. 1 γ = 1 nT = 10⁻⁹ T. Used in geophysics.

Usage: Magnetic surveys, archaeology, mineral exploration

Typical values: Magnetic anomaly detection: 1-100 γ | Daily variation: ±30 γ

Discovery of Electromagnetism

1820Hans Christian Ørsted

Electromagnetism

During a lecture demonstration, Ørsted noticed a compass needle deflecting near a current-carrying wire. This was the first observation linking electricity and magnetism. He published his findings in Latin, and within weeks, scientists across Europe were replicating the experiment.

Proved that electric currents create magnetic fields, founding the field of electromagnetism

1831Michael Faraday

Electromagnetic induction

Faraday discovered that changing magnetic fields create electric currents. Moving a magnet through a coil of wire generated electricity—the principle behind every electric generator and transformer today.

Made possible electric power generation, transformers, and the modern electrical grid

1873James Clerk Maxwell

Unified electromagnetic theory

Maxwell's equations unified electricity, magnetism, and light into one theory. He introduced the concepts of B-field and H-field as distinct quantities, showing light is an electromagnetic wave.

Predicted electromagnetic waves, leading to radio, radar, and wireless communication

1895Hendrik Lorentz

Lorentz force law

Described the force on a charged particle moving in magnetic and electric fields: F = q(E + v × B). This formula is fundamental to understanding how motors, particle accelerators, and cathode ray tubes work.

Foundation for understanding particle motion in fields, mass spectrometry, and plasma physics

1908Heike Kamerlingh Onnes

Superconductivity

Cooling mercury to 4.2 K, Onnes discovered its electrical resistance vanished completely. Superconductors expel magnetic fields (Meissner effect), enabling ultra-strong magnets with zero energy loss.

Led to MRI machines, maglev trains, and particle accelerator magnets producing 10+ Tesla fields

1960Theodore Maiman

First laser

While not directly about magnetism, lasers enabled precise magnetic field measurements through magneto-optical effects like Faraday rotation and the Zeeman effect.

Revolutionized magnetic field sensing, optical isolators, and magnetic data storage

1971Raymond Damadian

MRI medical imaging

Damadian discovered that cancerous tissue has different magnetic relaxation times than healthy tissue. This led to MRI (Magnetic Resonance Imaging), using 1.5-7 Tesla fields to create detailed body scans without radiation.

Transformed medical diagnostics, enabling non-invasive imaging of soft tissues, brain, and organs

Real-World Applications of Magnetic Fields

Medical Imaging & Treatment

MRI Scanners

Field strength: 1.5-7 Tesla

Create detailed 3D images of soft tissues, brain, and organs

MEG (Magnetoencephalography)

Field strength: 1-10 picotesla

Measures brain activity by detecting tiny magnetic fields from neurons

Magnetic Hyperthermia

Field strength: 0.01-0.1 Tesla

Heat magnetic nanoparticles in tumors to kill cancer cells

TMS (Transcranial Magnetic Stimulation)

Field strength: 1-2 Tesla pulses

Treats depression by stimulating brain regions with magnetic pulses

Transportation

Maglev Trains

Field strength: 1-4 Tesla

Levitate and propel trains at 600+ km/h with zero friction

Electric Motors

Field strength: 0.5-2 Tesla

Convert electrical energy to mechanical motion in EVs, appliances, robots

Magnetic Bearings

Field strength: 0.1-1 Tesla

Frictionless support for high-speed turbines and flywheels

Data Storage & Electronics

Hard Disk Drives

Field strength: 200-300 kA/m coercivity

Store data in magnetic domains; reading heads detect 0.1-1 mT fields

Magnetic RAM (MRAM)

Field strength: 10-100 mT

Non-volatile memory using magnetic tunnel junctions

Credit Cards

Field strength: 300-400 Oe

Magnetic stripes encoded with account information

Common Myths and Misconceptions About Magnetic Fields

Tesla and Gauss measure different things

Verdict: FALSE

Both measure the same thing (B-field/flux density), just in different unit systems. Tesla is SI, Gauss is CGS. 1 T = 10,000 G exactly. They're as interchangeable as meters and feet.

You can freely convert between A/m and Tesla

Verdict: CONDITIONAL

Only true in vacuum/air! In magnetic materials, the conversion depends on permeability μᵣ. In iron (μᵣ~2000), 1000 A/m creates 2.5 T, not 0.00126 T. Always state your assumption when converting B ↔ H.

Magnetic fields are dangerous to humans

Verdict: MOSTLY FALSE

Static magnetic fields up to 7 Tesla (MRI machines) are considered safe. Your body is transparent to static magnetic fields. Concern exists for extremely rapidly changing fields (induced currents) or fields above 10 T. Earth's 50 µT field is completely harmless.

Magnetic field 'strength' means Tesla

Verdict: AMBIGUOUS

Confusing! In physics, 'magnetic field strength' specifically means H-field (A/m). But colloquially, people say 'strong magnetic field' meaning high B-field (Tesla). Always clarify: B-field or H-field?

Oersted and Gauss are the same thing

Verdict: FALSE (BUT CLOSE)

In vacuum: 1 Oe ≈ 1 G numerically, BUT they measure different quantities! Oersted measures H-field (magnetizing force), Gauss measures B-field (flux density). It's like confusing force with energy—they happen to have similar numbers in air, but they're physically different.

Electromagnets are stronger than permanent magnets

Verdict: DEPENDS

Typical electromagnets: 0.1-2 T. Neodymium magnets: 1-1.4 T surface field. But superconducting electromagnets can reach 20+ Tesla, far exceeding any permanent magnet. Electromagnets win for extreme fields; permanent magnets win for compactness and no power consumption.

Magnetic fields can't pass through materials

Verdict: FALSE

Magnetic fields penetrate most materials easily! Only superconductors completely expel B-fields (Meissner effect), and high-permeability materials (mu-metal) can redirect field lines. This is why magnetic shielding is difficult—you can't just 'block' fields like you can with electric fields.

How to Measure Magnetic Fields

Hall Effect Sensor

Range: 1 µT to 10 T

Accuracy: ±1-5%

Measures: B-field (Tesla/Gauss)

Most common. Semiconductor chip that outputs voltage proportional to B-field. Used in smartphones (compass), gaussmeters, and position sensors.

Pros: Inexpensive, compact, measures static fields

Cons: Temperature sensitive, limited accuracy

Fluxgate Magnetometer

Range: 0.1 nT to 1 mT

Accuracy: ±0.1 nT

Measures: B-field (Tesla)

Uses saturation of magnetic core to detect tiny field changes. Used in geophysics, navigation, and space missions.

Pros: Extremely sensitive, great for weak fields

Cons: Cannot measure high fields, more expensive

SQUID (Superconducting Quantum Interference Device)

Range: 1 fT to 1 mT

Accuracy: ±0.001 nT

Measures: B-field (Tesla)

Most sensitive magnetometer. Requires liquid helium cooling. Used in MEG brain scans and fundamental physics research.

Pros: Unmatched sensitivity (femtotesla!)

Cons: Requires cryogenic cooling, very expensive

Search Coil (Induction Coil)

Range: 10 µT to 10 T

Accuracy: ±2-10%

Measures: Change in B-field (dB/dt)

Coil of wire that generates voltage when flux changes. Cannot measure static fields—only AC or moving fields.

Pros: Simple, robust, high-field capable

Cons: Only measures changing fields, not DC

Rogowski Coil

Range: 1 A to 1 MA

Accuracy: ±1%

Measures: Current (related to H-field)

Measures AC current by detecting the magnetic field it creates. Wraps around a conductor without contact.

Pros: Non-invasive, wide dynamic range

Cons: AC only, doesn't measure field directly

Magnetic Field Conversion Best Practices

Best Practices

  • Know your field type: B-field (Tesla, Gauss) vs H-field (A/m, Oersted) are fundamentally different
  • Material matters: B↔H conversion requires knowing permeability. Assume vacuum only if certain!
  • Use proper prefixes: mT (militesla), µT (microtesla), nT (nanotesla) for readability
  • Remember 1 Tesla = 10,000 Gauss exactly (SI vs CGS conversion)
  • In vacuum: 1 A/m ≈ 1.257 µT (multiply by μ₀ = 4π×10⁻⁷)
  • For MRI safety: Always express in Tesla, not Gauss (international standard)

Common Mistakes to Avoid

  • Confusing B-field with H-field: Tesla measures B, A/m measures H—completely different!
  • Converting A/m to Tesla in materials: Requires material permeability, not just μ₀
  • Using Gauss for strong fields: Use Tesla for clarity (1.5 T is clearer than 15,000 G)
  • Assuming Earth's field is 1 Gauss: It's actually 0.25-0.65 Gauss (25-65 µT)
  • Forgetting direction: Magnetic fields are vectors with magnitude AND direction
  • Mixing Oersted with A/m incorrectly: 1 Oe = 79.577 A/m (not a round number!)

Frequently Asked Questions

What's the difference between Tesla and Gauss?

Tesla (T) is the SI unit, Gauss (G) is the CGS unit. 1 Tesla = 10,000 Gauss exactly. Tesla is preferred for scientific and medical applications, while Gauss is still common in older literature and some industrial contexts.

Can I convert A/m to Tesla directly?

Only in vacuum/air! In vacuum: B (Tesla) = μ₀ × H (A/m) where μ₀ = 4π×10⁻⁷ ≈ 1.257×10⁻⁶ T·m/A. In magnetic materials like iron, you need the material's relative permeability (μᵣ), which can be 1 to 100,000+. Our converter assumes vacuum.

Why are there two different magnetic field measurements?

B-field (flux density) measures the actual magnetic force experienced, including material effects. H-field (field strength) measures the magnetizing force that creates the field, independent of material. In vacuum B = μ₀H, but in materials B = μ₀μᵣH where μᵣ varies enormously.

How strong is Earth's magnetic field?

Earth's field ranges from 25-65 microtesla (0.25-0.65 Gauss) at the surface. It's weakest at the equator (~25 µT) and strongest at the magnetic poles (~65 µT). This is strong enough to orient compass needles but 20,000-280,000× weaker than MRI machines.

Is 1 Tesla a strong magnetic field?

Yes! 1 Tesla is about 20,000× stronger than Earth's field. Refrigerator magnets are ~0.001 T (10 G). MRI machines use 1.5-7 T. The strongest lab magnets reach ~45 T. Only neutron stars exceed millions of Tesla.

What's the relationship between Oersted and A/m?

1 Oersted (Oe) = 1000/(4π) A/m ≈ 79.577 A/m. Oersted is the CGS unit for H-field, while A/m is the SI unit. The conversion factor comes from the definition of the ampere and CGS electromagnetic units.

Why do MRI machines use Tesla, not Gauss?

International standards (IEC, FDA) require Tesla for medical imaging. It avoids confusion (1.5 T vs 15,000 G) and aligns with SI units. MRI safety zones are defined in Tesla (0.5 mT, 3 mT guidelines).

Can magnetic fields be dangerous?

Static fields >1 T can interfere with pacemakers and pull ferromagnetic objects (projectile hazard). Time-varying fields can induce currents (nerve stimulation). MRI safety protocols strictly control exposure. Earth's field and typical magnets (<0.01 T) are considered safe.

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