Magnetic Dipole Moment Calculator
Magnetic Dipole Moment Calculator computes moment of a current loop, visualizing effect of current.
Formulas Used in Magnetic Dipole Moment Calculator
The calculator uses the following formula for a current-carrying loop:
Magnetic Dipole Moment:
\\[ \mathbf{\mu} = N I A \hat{n} \\]Magnitude:
\\[ |\mathbf{\mu}| = N I A \\]Where:
- \\( \mathbf{\mu} \\): Magnetic dipole moment (A·m²)
- \\( N \\): Number of turns (dimensionless)
- \\( I \\): Current (A)
- \\( A \\): Loop area (m²)
- \\( \hat{n} \\): Unit vector normal to the loop (assumed along \\(\hat{z}\\))
Example Calculations
Example 1: Single Turn
Input: N = 1, I = 5 A, A = 0.01 m²
\\[
|\mathbf{\mu}| = 1 \cdot 5 \cdot 0.01 = 0.05 \, \text{A·m}^2
\\]
Result: |μ| = 0.05 A·m²
Example 2: Multiple Turns
Input: N = 10, I = 5 A, A = 0.01 m²
\\[
|\mathbf{\mu}| = 10 \cdot 5 \cdot 0.01 = 0.5 \, \text{A·m}^2
\\]
Result: |μ| = 0.5 A·m²
Example 3: Larger Area
Input: N = 1, I = 5 A, A = 0.05 m²
\\[
|\mathbf{\mu}| = 1 \cdot 5 \cdot 0.05 = 0.25 \, \text{A·m}^2
\\]
Result: |μ| = 0.25 A·m²