Solve infinite sheet magnetic field values with practical inputs. Compare K, H, and B quickly. Review formulas, export data, and verify sample cases easily.
| Case | Input Type | I (A) | Width (m) | K (A/m) | μr | H (A/m) | B (µT) |
|---|---|---|---|---|---|---|---|
| 1 | Current and width | 10 | 0.05 | 200 | 1 | 100 | 125.664 |
| 2 | Current and width | 25 | 0.10 | 250 | 1 | 125 | 157.080 |
| 3 | Direct K | — | — | 500 | 1 | 250 | 314.159 |
| 4 | Direct K | — | — | 1200 | 2 | 600 | 1507.964 |
For an ideal infinite current sheet, the magnetic field magnitude is uniform on both sides of the sheet.
Surface current density: K = I / w
Magnetic field strength: H = K / 2
Absolute permeability: μ = μ0 × μr
Magnetic flux density: B = μH = μK / 2
Free-space permeability: μ0 = 4π × 10-7 H/m
The selected side changes the field direction only. The magnitude remains the same.
This magnetic field of an infinite sheet calculator helps you study a classic electromagnetics model. The model assumes a current sheet with unlimited extent. Under that ideal condition, the magnetic field becomes uniform. That makes the result easy to compare, verify, and apply during physics practice.
The calculator works with surface current density, magnetic field strength, and magnetic flux density. You can enter the surface current density directly. You can also enter total current and sheet width. The tool then converts those values into K. After that, it computes H and B using standard sheet-current relations.
For an ideal infinite current sheet, the field magnitude is the same above and below the sheet. Only the direction reverses. That makes this problem different from wires and loops. The field does not spread with distance in the ideal model. It stays constant because the sheet is treated as infinitely wide.
This page also lets you choose the output unit. You can review the answer in tesla, millitesla, microtesla, or gauss. Relative permeability is included too. That is useful when you want to compare free space with a material medium. The result section also displays the selected side and field direction.
Students, teachers, and engineers can use this tool for quick checks. It supports homework, lab preparation, and concept review. The example data table makes verification easier. The export features also help when you need records for reports, revision sheets, or design notes.
Use this calculator when the sheet is much larger than the observation region. That keeps edge effects small. In real systems, finite width changes the field near boundaries. Still, the infinite sheet approximation remains very useful. It gives fast insight into current sheets, boundary conditions, and uniform magnetic fields.
It computes the magnetic field strength H and magnetic flux density B for an ideal infinite current sheet. It also reports derived surface current density, medium permeability, and the field direction on the selected side.
Surface current density, written as K, measures current per unit width on a sheet. Its unit is ampere per meter. When total current and sheet width are known, K equals I divided by width.
Because the sheet is treated as infinitely large, the symmetry is very strong. There is no preferred lateral position. That makes the ideal magnetic field magnitude constant at all distances from the sheet.
The magnitude stays the same for the ideal model. The direction reverses across the sheet. This calculator shows that directional change using the selected current axis and observation side.
Relative permeability changes the magnetic flux density B through the relation B = μH. A larger μr increases B for the same surface current density. The field strength H remains tied to K/2 in this symmetric setup.
Use current and width when your problem gives conductor current directly. The calculator converts those values into surface current density first. This is helpful in practical sheet-conductor and strip-current approximations.
No. Real sheets have finite dimensions. Edge effects appear near boundaries, and the field becomes position dependent. The ideal infinite sheet model is most accurate when the sheet is very large compared with the observation region.
Choose tesla for SI base work. Choose millitesla or microtesla for smaller values. Choose gauss if your reference material uses cgs-style magnetic field reporting. The calculator converts the same B value automatically.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.