Calculator Inputs
Formula Used
Radius conversion: r = input radius × unit factor.
Disk area: A = πr².
Sphere area: A = 4πr².
Cylinder side area: A = 2πrh.
Surface mode: Flux = field intensity × area × cos(angle) × transfer factor.
Source mode: Flux density = total source × transfer factor ÷ 4πr².
Scaled output: Displayed value = calculated value ÷ selected scale.
How to Use This Calculator
- Select surface mode when a field crosses an area.
- Select source mode when a total source spreads outward.
- Choose the geometry that matches your model.
- Enter one radius or many radius values.
- Choose matching length units for radius and height.
- Set angle, factor, scale, and decimal precision.
- Press the calculate button to review results.
- Download CSV or PDF files when needed.
Example Data Table
This example uses sphere geometry, field intensity 12, angle 30 degrees, and transfer factor 0.95.
| Radius m | Area m² | Flux Density | Total Flux |
|---|---|---|---|
| 0.50 | 3.1416 | 9.8727 | 31.0165 |
| 1.00 | 12.5664 | 9.8727 | 124.0660 |
| 2.00 | 50.2655 | 9.8727 | 496.2639 |
Flux With Different Radii Guide
Why Radius Matters
Flux changes when radius changes because area changes. A larger radius can spread the same source over a wider surface. It can also collect more field through a chosen face. This calculator helps compare those cases without rebuilding the equation each time.
Radius is often the easiest variable to test. A disk uses one circular face. A sphere uses the whole outer surface. A cylinder can use the curved side. Each shape gives a different area, so the same field may create a different flux.
Angle and Projection
The angle setting handles projection. A field hitting a surface straight on gives maximum flux. A field sliding across the surface gives less flux. The cosine term converts that direction into the useful normal part.
You can enter one radius or many radii. Separate values with commas, spaces, or new lines. The tool calculates every row and keeps the same settings for all rows. This makes sensitivity checks fast. It also helps when comparing lab readings, design sizes, or estimated field strengths.
Calculation Modes
Two calculation modes are included. Surface mode multiplies field intensity by area and angle correction. Source mode spreads a total emission or flow over a spherical surface. Source mode is useful for radiation, sound, light, or any quantity that weakens with distance under ideal spreading.
Units are converted before calculation. You may type radii in millimeters, centimeters, meters, inches, or feet. Results can be shown in base units, thousands, or millions. This keeps the table readable for small and large problems.
Reading the Results
The result table gives radius, area, flux density, total flux, and notes. Use the CSV button for spreadsheets. Use the PDF button for a simple printable record. The example table shows typical values and helps users confirm the workflow.
Treat the output as a model. Real systems may have losses, shielding, nonuniform fields, or edge effects. Choose the geometry that matches the assumption behind your data. For critical engineering, lab, or safety work, verify inputs with measured data and accepted standards.
Save the exported files with project notes. Record the chosen mode, geometry, angle, and unit set. Small input changes can move results sharply at short radii. Reviewing the table line by line helps catch misplaced decimals before sharing calculations during review.
FAQs
1. What does this calculator find?
It calculates flux or flux density for one or more radius values. It can use surface area with field intensity or source spreading over a spherical area.
2. Can I enter many radius values?
Yes. Enter radii separated by commas, spaces, or new lines. The calculator creates one result row for each positive radius value.
3. Which geometry should I choose?
Choose disk for a flat circular face, sphere for a full spherical surface, and cylinder for curved side area. Match the geometry to your model.
4. What is surface mode?
Surface mode multiplies field intensity by selected area, cosine of angle, and transfer factor. It is useful when a field crosses a known surface.
5. What is source mode?
Source mode divides a total source value by spherical area. It estimates flux density at each radius under ideal spreading assumptions.
6. What does transfer factor mean?
Transfer factor adjusts the result for losses or efficiency. Use 1 for no adjustment. Use 0.80 when only eighty percent is transferred.
7. Why can flux become negative?
A negative value can appear when the projection angle gives a negative cosine. It means the field direction is opposite the chosen surface normal.
8. Can I export the results?
Yes. After calculation, use the CSV button for spreadsheet work. Use the PDF button for a simple printable report.