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.
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
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!)
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)
| From | To | Formula | Example |
|---|---|---|---|
| T | G | G = T × 10,000 | 0.001 T = 10 G |
| G | T | T = G ÷ 10,000 | 1 G = 0.0001 T |
| T | mT | mT = T × 1,000 | 0.001 T = 1 mT |
| T | µT | µT = T × 1,000,000 | 0.00005 T = 50 µT |
| G | mG | mG = G × 1,000 | 0.5 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
| From | To | Formula | Example |
|---|---|---|---|
| Oe | A/m | A/m = Oe × 79.5775 | 1 Oe = 79.58 A/m |
| A/m | Oe | Oe = A/m ÷ 79.5775 | 1000 A/m = 12.57 Oe |
| kA/m | Oe | Oe = kA/m × 12.566 | 10 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)
| From | To | Formula | Example |
|---|---|---|---|
| A/m | T | T = A/m × μ₀ = A/m × 1.257×10⁻⁶ | 1000 A/m = 0.001257 T |
| T | A/m | A/m = T ÷ μ₀ = T ÷ 1.257×10⁻⁶ | 0.001 T = 795.8 A/m |
| Oe | G | G ≈ Oe (in vacuum) | 1 Oe ≈ 1 G in air |
| Oe | T | T = Oe × 0.0001 | 100 Oe = 0.01 T |
Material formula: In materials: B = μ₀ × μᵣ × H, where μᵣ = relative permeability
μᵣ Values for Common Materials
| Material | μᵣ Value |
|---|---|
| Vacuum, air | 1.0 |
| Aluminum, copper | ~1.0 |
| Nickel | 100-600 |
| Mild steel | 200-2,000 |
| Silicon steel | 1,500-7,000 |
| Permalloy | 8,000-100,000 |
| Supermalloy | up 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
1820 — Hans 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
1831 — Michael 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
1873 — James 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
1895 — Hendrik 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
1908 — Heike 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
1960 — Theodore 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
1971 — Raymond 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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