Calculator Inputs
Example Data Table
| Case | B | Area | Angle | Turns | Flux |
|---|---|---|---|---|---|
| Single loop plate | 0.85 T | 0.12 m² | 25° | 1 | 0.092443 Wb |
| Multi-turn coil | 35 mT | 250 cm² | 60° | 4 | 0.00175 Wb |
| Weak field sensor | 420 µT | 1800 mm² | 15° | 12 | 8.7629e-6 Wb |
Formula Used
Φ = B × A × cos(θ)
Φ = B × A × cos(θ) × N
B = Φ / (A × cos(θ) × N)A = Φ / (B × cos(θ) × N)θ = arccos(Φ / (B × A × N))N = Φ / (B × A × cos(θ))
Where:
- Φ = magnetic flux in weber.
- B = magnetic flux density in tesla.
- A = surface area in square meters.
- θ = angle between the field and the surface normal.
- N = number of turns or repeated surfaces.
How to Use This Calculator
- Select what you want to solve.
- Enter the known field, area, angle, turns, or target flux.
- Choose matching units for each input.
- Click the calculate button.
- Read the result card shown above the form.
- Review the detailed output table and graph.
- Export the result as CSV or PDF if needed.
Frequently Asked Questions
1. What is magnetic flux?
Magnetic flux measures how much magnetic field passes through a surface. It depends on field strength, surface area, and orientation. The SI unit is the weber.
2. Why does angle matter in flux calculations?
Only the field component perpendicular to the surface contributes fully. That is why the cosine term appears. Flux is maximum at 0° and zero at 90°.
3. Is the angle measured from the surface or the normal?
This calculator uses the angle between the magnetic field and the surface normal. If your angle is measured from the plane, subtract it from 90° first.
4. What does a negative flux result mean?
A negative sign means the magnetic field points opposite to the chosen normal direction. The magnitude still shows how much field crosses the surface.
5. Why include the number of turns?
Multiple turns increase the linked flux proportionally. For a single loop or one flat surface, set the turn count to 1.
6. Can I use units like gauss or square centimeters?
Yes. The calculator converts several common field, area, angle, and flux units to SI units before solving. That keeps the final result consistent.
7. When does flux become zero?
Flux becomes zero when the magnetic field is parallel to the surface, which means the angle to the surface normal is 90°. The cosine term becomes zero.
8. What does the Plotly graph show?
The graph shows how flux changes as the angle varies from 0° to 180° while keeping the solved field, area, and turn count fixed. It helps visualize sign and magnitude changes.