Magnetic Moment Calculator

Calculate Magnetic Moment (μ)

Enter the number of turns in the coil.
Enter the current flowing through the loop in Amperes.
Enter the radius of the circular loop in Meters.

Calculation Results

Magnetic Moment (μ): A·m²

Utilize our free Magnetic Moment Calculator to quickly determine the magnetic dipole moment of a current loop. Simply input the number of turns, current, and radius, and get instant, accurate results. Ideal for students, engineers, and physicists needing to understand or apply the fundamental principles of electromagnetism.

Formula:

The magnetic moment (μ) of a current loop is calculated using the formula:

μ = N × I × A

Where:
  • μ = Magnetic Moment (measured in Ampere-square meters, A·m²)
  • N = Number of turns in the loop (dimensionless)
  • I = Current flowing through the loop (measured in Amperes, A)
  • A = Area of the current loop (measured in square meters, m²)
For a circular loop, the area A = π × r², where r is the radius.
So, the calculator uses the formula:

μ = N × I × π × r²

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