Magnetic Flux Density Converter
Precise B-field unit converter for tesla, weber per square meter, gauss, maxwell-per-area, line-per-area, and gamma with exact tesla factors, charts, formulas, and electromagnetic examples.
Last Updated: April 5, 2026
Convert magnetic flux density through an exact tesla engine with real-time updates, engineering and scientific modes, copy-ready charts, and reusable session history.
Use SI, CGS, and smaller-field magnetic-flux-density units together in one converter.
Quick presets
Tap to loadDynamic conversion chart
| From value | Converted value |
|---|---|
| Enter a value | Chart rows appear here |
Related conversions
| Conversion | Result |
|---|---|
| Enter a value | Results will appear here |
Popular flux-density examples
| Input | Output | Formula |
|---|---|---|
| 1 T | 10,000 G | G = (T x 1) / 0.0001 |
| 1 G | 0.0001 T | T = (G x 0.0001) / 1 |
| 1 Wb/m² | 1 T | T = (Wb/m² x 1) / 1 |
| 1 Wb/cm² | 10,000 T | T = (Wb/cm² x 10000) / 1 |
| 1 Wb/in² | 1,550.00310001 T | T = (Wb/in² x 1550.00310000620001240002) / 1 |
| 1 Mx/in² | 0.0000155 T | T = (Mx/in² x 0.0000155000310000620001240002) / 1 |
| 1000 gamma | 0.000001 T | T = (gamma x 1e-9) / 1 |
| 5000 G | 0.5 T | T = (G x 0.0001) / 1 |
Electromagnetic comparison mode
| Comparison | Assumption used | Equivalent |
|---|---|---|
| Enter a value | Assumptions appear here | Equivalent examples appear here |
Quick reference benchmarks
| Reference | Equivalent | Why it matters |
|---|---|---|
| 1 T | 1 tesla | Core SI bridge unit for magnetic flux density B |
| 1 Wb/m² | 1 T | Definitionally equal SI area expression |
| 1 Wb/cm² | 10,000 T | Large area-scaled SI density benchmark |
| 1 Wb/in² | 1550.0031000062 T | Square-inch SI area-density benchmark |
| 1 G | 1e-4 T | Core CGS magnetic-flux-density benchmark |
| 1 Mx/cm² | 1e-4 T | CGS area-flux expression equal to gauss |
| 1 Mx/m² | 1e-8 T | Fine CGS area-flux benchmark |
| 1 Mx/in² | 1.5500031000062e-5 T | Square-inch CGS area-density benchmark |
| 1 line/cm² | 1e-4 T | Legacy line-based density benchmark |
| 1 line/in² | 1.5500031000062e-5 T | Square-inch line-density benchmark |
| 1 gamma | 1e-9 T | Very small magnetic-flux-density benchmark |
Engineering And Electromagnetic Context Notice
This magnetic flux density converter is designed for educational, scientific, and engineering-planning use. It does not replace full electromagnetic modeling, material characterization, safety review, laboratory uncertainty analysis, or final design verification. When the result affects product performance, compliance, procurement, or safety, verify the governing standard and the rest of the electromagnetic model before relying on the output.
Reviewed For Methodology, Labels, And Sources
Every CalculatorWallah calculator is published with visible update labeling, linked source references, and founder-led review of formula clarity on trust-sensitive topics. Use results as planning support, then verify institution-, policy-, or jurisdiction-specific rules where they apply.
Reviewed By
Jitendra Kumar, Founder & Editorial Standards Lead, oversees methodology standards and trust-sensitive publishing decisions.
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See ownership standardsMethodology & Updates
Page updated April 5, 2026. Trust-critical pages are reviewed when official rates or rules change. Evergreen calculator guides are checked on a recurring quarterly or annual cycle depending on topic volatility.
How to Use the Magnetic Flux Density Converter
Enter the magnetic flux density value you want to convert, choose the source unit, choose the target unit, and the widget updates in real time. That makes quick work of searches like gauss to tesla, tesla to gauss, maxwell per square centimeter to tesla, line per square inch to tesla, or gamma to tesla without forcing you to handle the bridge math manually.
Use Engineering mode when you want tesla, Wb/m², gauss, and related practical B-field units in a focused list for electromagnetic work. Use Scientific mode when you want very small or very large values, area-based density expressions, and scientific notation in the same interface. The result card shows the converted value, the direct factor, the reverse factor, the tesla bridge value, and the formula used by the page.
If the next step is converting total magnetic flux instead of density, open the magnetic flux converter. If you need magnetic field strength rather than flux density, use the magnetic field strength converter. If the starting point is magnetic driving force, use the magnetomotive force converter. For broader physics calculators, the science hub is the closest live route today, and for exponent-heavy follow-up work keep the scientific calculator nearby.
Step 1: Enter the value
Type the magnetic flux density value you want to convert. Decimals, scientific notation, and signed values are supported for study and technical reference workflows.
Step 2: Choose the source and target units
Pick the unit you have and the unit you need, such as gauss to tesla, tesla to gauss, maxwell per square inch to tesla, or gamma to tesla.
Step 3: Set the best mode
Use Engineering mode when tesla and gauss are the focus, and Scientific mode when you want tiny or huge values, area-based expressions, and scientific notation.
Step 4: Review the factor and tesla bridge
The result section shows the converted value, the direct factor, the reverse factor, the value in tesla, and the formula used by the page.
Step 5: Use the chart and history tools
Copy the result, copy a generated chart, compare the value to electromagnetic examples, and reopen one of your last five conversions when repeating similar checks.
How This Magnetic Flux Density Converter Works
The calculator follows the same auditable base-unit method used by the rest of CalculatorWallah's science converters. First, it validates the input so empty values, malformed numbers, or non-finite values do not reach the conversion engine. Second, it multiplies the input by the exact stored factor for the source unit to convert the value into tesla. Third, it divides that tesla value by the factor for the target unit to produce the final answer. Because every supported unit is stored relative to T, the same method works for gauss to tesla, tesla to gauss, Wb/cm² to T, Mx/in² to T, and gamma to G without needing a different formula for every pair.
In shorthand, the method is: value in T = input x source factor, then final value = T / target factor. The page exposes that logic in the step-by-step panel so the user can audit the bridge instead of trusting a black box. Decimal-based arithmetic keeps the result stable across small and large values, long decimals, and scientific-notation input.
The page also stores unit-definition notes where electromagnetic context matters. Tesla and weber per square meter are definitionally equal in SI. Gauss and maxwell per square centimeter share the exact 1e-4 T relationship. Gamma is stored using the exact NIST relation 1 gamma = 1e-9 T. Inch-based units are derived from the exact square-inch area relation, which is why their stored decimals extend beyond the rounded display value.
| Example conversion | Formula | Result |
|---|---|---|
| 1 G to T | 1 x 1e-4 | 1e-4 T |
| 1 T to G | 1 / 1e-4 | 10,000 G |
| 1 Wb/m² to T | 1 x 1 | 1 T |
| 1 Wb/cm² to T | 1 x 10,000 | 10,000 T |
| 1 Wb/in² to T | 1 x 1550.0031000062 | 1550.0031000062 T |
| 1 Mx/in² to T | 1 x 1.5500031000062e-5 | 1.5500031000062e-5 T |
Magnetic Flux Density Conversion Guide
1) What Is Magnetic Flux Density?
Magnetic flux density, usually written as B, describes how much magnetic flux passes through a unit area. It is one of the core magnetic quantities used in physics and engineering because it tells you how concentrated a magnetic field is in a region rather than only how much total flux passes through a larger surface.
This matters in magnets, MRI systems, transformers, motors, inductors, sensors, and material studies. A device may have a certain total flux, but the engineering question often becomes how concentrated that flux is in a core cross section, air gap, or region of interest. That is where tesla and gauss become practical working units.
One reason the topic causes confusion is that magnetic flux density is not the same as magnetic field strength. Flux density is usually written as B. Field strength is usually written as H. They are related but not identical. In many materials they are connected through material-dependent relationships rather than simple unit renaming. A converter page should therefore do more than print a number. It should keep the physical quantity visible enough that users do not mix concepts carelessly.
Users search for a magnetic flux density converter because different references still use different unit systems. Modern engineering work commonly uses tesla. Older or specialized references may use gauss or maxwell-per-area expressions. This page removes that unit friction while still explaining what B actually represents.
2) Magnetic Flux Density Formula: B = Phi / A
A simple geometric form of magnetic flux density is B = Phi / A, where Phi is magnetic flux and A is area. If a fixed amount of flux passes through a smaller area, the flux density becomes larger. If the same flux is spread across a larger area, the density becomes smaller. This makes B a useful concentration-style quantity rather than just a total amount.
The formula matters because many engineering limits depend on flux density rather than total flux alone. Core saturation discussions, magnet ratings, and MRI field labels are all easier to interpret with a density-style quantity. It is one thing to know how much total flux exists; it is another to know how concentrated it is at a surface or through a cross section.
This formula also explains why tesla and weber per square meter are definitionally equal. Tesla is not an arbitrary label layered on top of flux density. It is the coherent SI expression of webers spread over square meters. That is why 1 Wb/m² = 1 T exactly on this page.
Area-based units such as Wb/cm², Wb/in², Mx/cm², and Mx/in² fit naturally into this same logic. They are not different physical quantities. They are the same quantity expressed with different area scales and, sometimes, a different unit system. That is what the converter makes easy to manage.
3) Units of Magnetic Flux Density
The main units on this page are tesla, weber per square meter, weber per square centimeter, weber per square inch, gauss, maxwell per square centimeter, maxwell per square meter, maxwell per square inch, line per square centimeter, line per square inch, and gamma. Tesla is the natural SI bridge unit because it is the standard magnetic-flux-density label used in modern engineering and science. Weber per square meter is definitionally equal to tesla, while the centimeter and inch variants simply reflect different area scales.
Gauss is the best-known CGS density unit. Maxwell-per-area and line-per-area forms are legacy area expressions that still appear in older references. On this page, maxwell per square centimeter and line per square centimeter share the same exact scale as gauss. That is not a coincidence; it reflects the structure of the older CGS magnetic system.
Gamma appears at a much smaller scale and is useful when the magnetic flux density is tiny. That makes it helpful for low-field comparisons or fine-resolution contexts. It is stored here using the exact NIST relation 1 gamma = 1e-9 T so that very small values remain consistent even when the display rounds them later.
The point of supporting these labels is not to create more complexity. It is to help users move cleanly between textbooks, engineering notes, archival references, and instrument-style field readouts that describe the same physical quantity in different ways.
| Unit | Symbol | Stored tesla value | Typical use |
|---|---|---|---|
| Tesla | T | 1 T | Core SI bridge unit for magnetic flux density B |
| Weber per square meter | Wb/m² | 1 T | Definitionally equal SI area expression |
| Weber per square centimeter | Wb/cm² | 10,000 T | Large area-scaled SI density expression |
| Weber per square inch | Wb/in² | 1550.0031000062 T | Square-inch SI area-density expression |
| Gauss | G | 1e-4 T | Core CGS magnetic-flux-density unit |
| Maxwell per square centimeter | Mx/cm² | 1e-4 T | CGS area-flux expression equal to gauss |
| Maxwell per square meter | Mx/m² | 1e-8 T | Fine CGS area-flux expression |
| Maxwell per square inch | Mx/in² | 1.5500031000062e-5 T | Square-inch CGS density expression |
| Line per square centimeter | line/cm² | 1e-4 T | Legacy line-based density expression |
| Line per square inch | line/in² | 1.5500031000062e-5 T | Square-inch line-based density expression |
| Gamma | gamma | 1e-9 T | Very small B-field benchmark |
4) SI vs CGS Systems
SI and CGS are different unit-system traditions. Modern engineering, materials science, medical imaging, and most international technical documentation favor SI, which is why tesla is usually the most practical magnetic-flux-density unit today. CGS units, including gauss and related maxwell-per-area expressions, still matter because they appear in older literature, specialized references, and cross-system unit tables.
The practical challenge is not that one system is correct and the other is wrong. The challenge is that users often move between them without enough warning. A recent design note may quote tesla. A legacy magnetic reference may quote gauss. A derived table may express the same quantity as maxwell per square centimeter or line per square inch. Once the user understands that the physical quantity is the same, the actual conversion becomes straightforward.
This page keeps the bridge explicit. Tesla is the internal bridge unit. Weber per square meter is definitionally equal to tesla. Gauss and maxwell per square centimeter use the exact 1e-4 T scale. Gamma uses the exact 1e-9 T scale. Inch-based units are derived from the exact square-inch relation rather than rough decimal shortcuts.
Another reason this comparison matters is pedagogy. Students who can move between SI and CGS density representations tend to understand magnetic quantities more deeply. They stop memorizing one number pattern and start recognizing how density, total flux, area, and field strength fit together. That makes conversion tools useful as learning tools, not just answer generators.
| System view | Main units | Definition style | Where it appears |
|---|---|---|---|
| SI B-field work | T, Wb/m², Wb/cm², Wb/in² | Flux density expressed directly in tesla or area-based SI equivalents | Modern engineering, physics, materials work, and standards-driven workflows |
| CGS B-field work | G, Mx/cm², Mx/m², Mx/in², line/cm², line/in² | Legacy CGS density labels and area-flux expressions | Older textbooks, archival references, sensor references, and cross-system tables |
| Very small-field work | gamma | Small-unit expression for tiny magnetic flux densities | Geophysics-style references, small-field comparison, and fine-resolution work |
5) How Conversion Works
The base-unit method on this page is deliberately simple. Suppose you want to convert 5000 G to T. The page multiplies 5000 by the stored gauss factor in tesla, which is1e-4. That produces 0.5 T. If the next target were maxwell per square inch instead, the same bridge result would then be divided by the stored Mx/in² factor. That is the entire method: source to tesla, then tesla to target.
This approach is better than storing a different direct formula for every pair of units. Once every unit knows how many tesla it represents, the converter can handle every pair consistently. That improves maintainability, makes testing simpler, and keeps the user-facing formulas transparent. It also means the chart generator and related-conversions table can reuse the same engine without special-case logic.
Precision is the next layer. Very small magnetic flux density values, inch-based area expressions, and fine-resolution units like gamma benefit from more than a couple of decimals when the user wants a serious scientific reference answer. That is why the converter stores high-precision factors and only applies rounding to the displayed output.
The same logic powers the educational tables on the page. The dynamic chart shows nearby values for the same source-target pair. The related-conversions section displays the same input across several supported units. The educational comparison mode turns the bridge value into Earth-field, magnet, and MRI examples. All of that is useful because it keeps the user grounded in both the unit math and the physical meaning of the result.
6) Real-Life Applications
Magnetic flux density matters wherever field concentration matters. Permanent magnets are often compared by the field they can produce near a surface. MRI systems are commonly described by tesla ratings, which means even general users encounter magnetic flux density as part of everyday technology language. Electrical devices rely on B values inside cores, gaps, and active magnetic regions.
These applications vary widely in scale. Earth's field is tiny relative to an MRI. A small laboratory magnet may produce millitesla-scale values. A permanent magnet near a surface can reach much larger values, and MRI systems commonly operate around 1.5 T or 3 T. That range is exactly why a converter helps. Engineers, students, and researchers often need a clean cross-system unit bridge before they move into deeper design or analysis work.
Real-life B-field work also reinforces an important limit: magnetic flux density alone does not tell the whole story. Total flux, field strength, area, material response, saturation, and time variation still matter. The converter does not pretend otherwise. It solves the unit problem cleanly so the user can focus on the electromagnetic model next.
That division of labor is exactly why internal linking matters. If the calculation shifts toward total flux, open the magnetic flux converter. If it shifts toward field strength, use the magnetic field strength converter. If it starts from magnetic driving force, use the magnetomotive force converter.
| Application | Why magnetic flux density matters |
|---|---|
| Permanent magnets | Flux density helps describe how concentrated a magnet field is near a surface or within a magnetic structure. |
| MRI systems | MRI machines are commonly described by tesla ratings, making B-field conversion immediately practical for comparison and education. |
| Transformers and motors | Engineers track flux density in cores to reason about saturation, material limits, and device performance. |
| Sensors and instrumentation | Small flux-density values matter in magnetometers, pickup systems, and low-field measurements. |
| Material science and magnetics | Researchers compare B values when studying hysteresis, permeability, and field response in different materials. |
| Legacy reference reconciliation | Gauss, maxwell-per-area, line-per-area, and gamma help when older references meet modern tesla-based work. |
7) Electrical Engineering Use Cases
Electrical engineering uses magnetic flux density as a central material and core-design quantity. In transformers and motors, B is important because it helps determine whether the chosen material and geometry are operating comfortably or approaching saturation. In magnetic circuits, B connects the total flux to the available area and therefore helps engineers reason about concentrated field regions.
This is one reason B, H, and Phi often appear together. H tells you about magnetic driving field strength. Phi tells you about total flux. B tells you how concentrated that flux is in an area. They are different questions about the same electromagnetic system. A good converter family should therefore let the user move between these pages without pretending the quantities are interchangeable.
Engineers also use B when reading material curves, comparing magnet performance, or checking whether a magnetic device is operating in a sensible range. Low-field sensor work may care about microtesla-scale values. Core and machine work may care about tesla-scale values. Medical imaging users may care about familiar MRI field strengths. That spread makes unit conversion a practical task rather than a purely academic one.
This is also why follow-on math tools matter. When you need exponent handling, scientific notation, or extra algebra around a converted result, keep the scientific calculator nearby. For a broader group of adjacent physics calculators, the science hub remains the closest live route today.
| Reference scale | Equivalent | Use case |
|---|---|---|
| 1 gamma | 1e-9 T | Very small B-field benchmark |
| 50 µT | 0.5 G | Approximate Earth-field benchmark |
| 1 mT | 10 G | Weak-lab-field benchmark |
| 0.1 T | 1,000 G | Strong permanent-magnet benchmark |
| 1.5 T | 15,000 G | MRI benchmark |
| 3 T | 30,000 G | High-field MRI benchmark |
8) How to Use This Converter
Start by identifying which magnetic quantity your source actually uses. If the value came from a magnet rating or MRI label, it may already be in tesla. If it came from an older magnetic reference, it may be in gauss or maxwell-per-area form. If it came from a total flux divided by an area, the source may be expressed in weber-per-area units. The converter works best when you confirm that the source quantity is magnetic flux density rather than total flux or field strength before you begin.
Next, choose the narrowest mode that matches your task. Engineering mode reduces clutter by keeping the most practical tesla and gauss-style labels together. Scientific mode keeps the same core logic but makes tiny values, gamma, and area-based expressions easier to manage. That matters on mobile because shorter lists reduce selection errors and speed up repeated conversions.
Use the precision selector intentionally. A quick classroom check may only need three or four decimals. A documentation check involving inch-based area expressions or very small gamma values may need more. Scientific notation becomes especially useful when the value is very small or very large in the chosen display unit. The internal arithmetic stays the same; only the presentation changes.
Finally, use the supporting tools. Copy the result when one value is enough. Copy the chart when you need a short table for nearby inputs. Reopen a stored history item when you are working through a family of similar B-field checks. These small interface details save time and reduce the chance of transcription mistakes during repeated engineering or study work.
9) Common Mistakes
The most common magnetic-flux-density mistake is confusing B and H. They are related but not the same quantity. Users sometimes see a magnetic field value in one reference and assume every magnetic number can be renamed with a simple unit conversion. That is not true. Flux density and field strength answer different questions.
Another frequent mistake is forgetting that some supported units already include an area term. Weber per square meter is a density expression, not a total flux value. The same is true for maxwell per area and line per area. If the user starts mixing total flux and flux density without tracking area, the numbers become misleading fast.
A third mistake is switching between SI and CGS references without making the unit change explicit. That is exactly why this page shows both the direct factor and the reverse factor. The user should be able to see not only the answer but also the precise unit relation that created it.
Finally, many users round too early. That is especially risky with tiny values, gamma, or inch-based density factors. If you shorten the factor too soon, the displayed answer may look tidy but the hidden error can become significant. The better workflow is to keep the stored factor precise and round only the final displayed answer.
| Mistake | What goes wrong | Better approach |
|---|---|---|
| Confusing B and H | Treating magnetic flux density and magnetic field strength as if they were the same quantity | Keep B separate from H and remember that materials and geometry matter in the link between them. |
| Ignoring area relations | Forgetting that some units already include area in their definition | Track whether you are converting a density unit, a total flux unit, or a field-strength unit before calculating. |
| Mixing SI and CGS labels casually | Quoting tesla and gauss from different references without converting them | Keep the chosen unit visible and convert deliberately between systems. |
| Treating Wb/m² as different from T | Adding an unnecessary correction between definitionally equal SI expressions | On this page, 1 Wb/m² = 1 T exactly. |
| Early rounding | Shortening very small or inch-based density factors too soon | Keep the stored factor precise and round only the displayed answer. |
| Using B as the whole magnetic story | Assuming flux density alone explains flux, field strength, or device performance | Use B as one quantity inside the wider electromagnetic model rather than the entire model. |
10) Final Thoughts
Magnetic flux density becomes much clearer once the user keeps two ideas together: total flux and the area that flux passes through. From that point onward, tesla, gauss, maxwell-per-area, and related density labels stop feeling like disconnected unit names and start feeling like different windows into the same B-field concept.
That is why a good magnetic flux density converter should do more than translate a number. It should use stable stored relationships, show the bridge unit clearly, explain the formula, and keep the surrounding electromagnetic context visible. This page is designed to do exactly that. It is fast enough for a quick reference check and detailed enough to support serious learning.
If you use B-field conversions regularly, the most useful habit is to ask what the converted value means physically after you get it. What area or core cross section does it describe? What total flux and material context sit behind it? How does it relate to field strength or saturation? Those questions move the workflow from unit conversion into real electromagnetic reasoning, which is where the concept becomes valuable.
Use the converter whenever you need a reliable bridge between tesla, gauss, area-based weber forms, maxwell-per-area expressions, and gamma. Keep the formulas and examples in view long enough to build intuition, not only a copied answer. That combination of speed, precision, and understanding is what makes a science converter genuinely useful.
| Example | Setup | Result |
|---|---|---|
| Earth-field example | 50 µT / 1e-4 | 0.5 G |
| Permanent-magnet example | 0.1 T x 10,000 | 1,000 G |
| MRI example | 1.5 T / 1e-4 | 15,000 G |
| Gauss to tesla example | 5000 G x 1e-4 | 0.5 T |
| Maxwell per square inch example | 1 Mx/in² x 1.5500031000062e-5 | 1.5500031000062e-5 T |
| Gamma to tesla example | 1000 gamma x 1e-9 | 1e-6 T |
Frequently Asked Questions
Related Calculators
Magnetic Flux Converter
Use the flux converter when the next step is converting total magnetic flux in webers, maxwells, or volt-seconds rather than flux density.
Use Magnetic Flux ConverterMagnetic Field Strength Converter
Use the field-strength converter when the next step is comparing A/m, oersted, or magnetic-field-strength geometry instead of B-field density.
Use Magnetic Field Strength ConverterMagnetomotive Force Converter
Use the MMF converter when the starting point is ampere turns, gilberts, or magnetic driving force rather than flux density.
Use Magnetomotive Force ConverterPhysics Calculators
Browse the science hub when magnetic flux density work expands into adjacent electromagnetic, power, or broader physics-style tools.
Use Physics CalculatorsScientific Calculator
Use the scientific calculator for exponent-heavy notation checks and follow-on algebra after converting the magnetic flux density value.
Use Scientific CalculatorSources & References
- 1.BIPM / NIST SI unit definition references for tesla and weber per square meter(Accessed April 2026)
- 2.NIST Guide to the SI, Appendix B.9 - factors by kind of quantity(Accessed April 2026)
- 3.BIPM - The International System of Units (SI) Brochure(Accessed April 2026)
- 4.NBS Special Publication 396-4 (legacy magnetic-unit reference)(Accessed April 2026)