Calculator Inputs
Overall page content stays single column. The input area uses three columns on large screens, two on smaller screens, and one on mobile.
Plotly Graph
The graph updates after calculation and shows how magnetic dipole moment changes with one key input for the selected method.
Example Data Table
| Method | Inputs | Formula | Result μ |
|---|---|---|---|
| Current loop | N = 50, I = 1.2 A, A = 0.03 m² | μ = NIA | 1.800000 A·m² |
| Torque | τ = 0.45 N·m, B = 0.30 T, θ = 90° | μ = τ / (B sinθ) | 1.500000 A·m² |
| Pole strength | p = 2.5 A·m, l = 0.40 m | μ = pl | 1.000000 A·m² |
| Orbiting charge | q = 1.6×10⁻¹⁹ C, v = 2×10⁶ m/s, r = 0.005 m | μ = qvr / 2 | 8.000000e-16 A·m² |
Formula Used
1) Current loop method
Formula: μ = N × I × A
Here, N is the number of turns, I is current, and A is the enclosed loop area.
2) Torque method
Formula: μ = τ / (B × sinθ)
Here, τ is torque, B is magnetic flux density, and θ is the angle between the dipole and the field.
3) Pole strength method
Formula: μ = p × l
Here, p is magnetic pole strength and l is magnetic length, measured between the effective poles.
4) Orbiting charge method
Formula: μ = q × v × r / 2
Here, q is charge, v is speed, and r is orbit radius. Negative charge reverses direction.
How to Use This Calculator
- Select the method that matches your physics problem.
- Enter the known values in SI units.
- For loop mode, choose direct area, circle radius, or rectangle dimensions.
- Add optional reference field and angle to estimate torque and potential energy.
- Press the calculate button.
- Read the result card above the form, review the graph, and export the table if needed.
FAQs
1) What is magnetic dipole moment?
Magnetic dipole moment measures the strength and orientation of a magnetic source. It explains how a loop, magnet, or orbiting charge behaves inside a magnetic field.
2) What is the SI unit of magnetic dipole moment?
The standard SI unit is ampere square meter, written as A·m². It is also numerically equal to joule per tesla, written as J/T.
3) When should I use the current loop method?
Use the current loop method when you know the loop area, the current, and the number of turns. It is common for coils, circular loops, and rectangular wire frames.
4) Why does the torque method need angle?
Torque depends on the sine of the angle between the moment vector and magnetic field. Without angle, the relation cannot determine the correct dipole moment.
5) Can the result be negative?
Yes. A negative value can appear when the chosen sign convention gives an opposite direction. The magnitude shows strength, while the sign reflects orientation.
6) What does the reference field section do?
It uses the calculated dipole moment to estimate torque and magnetic potential energy at a chosen field strength and angle. This helps extend the calculation to applied situations.
7) What if my loop is circular or rectangular?
Choose the matching area entry method. The calculator will convert radius or side lengths into area automatically before applying the current loop formula.
8) Is this calculator suitable for study and reports?
Yes. It shows formulas, result tables, a graph, example values, and export tools. That makes it useful for homework, lab notes, and quick engineering checks.