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Magnetization Field Calculator

Magnetization Field Calculator computes magnetic field strength in a material using magnetization, flux density, and permeability.

Formulas Used in Magnetization Field Calculator

The calculator computes the magnetic field strength (\\(H\\)) inside a magnetized material using the following formula:

Magnetic Field Strength:

\\[ H = \frac{B}{\mu_0 \mu_r} – M \\]

Where:

  • \\( H \\): Magnetic field strength (A/m)
  • \\( B \\): Magnetic flux density (T)
  • \\( M \\): Magnetization of the material (A/m)
  • \\( \mu_r \\): Relative permeability of the material
  • \\( \mu_0 \\): Permeability of free space (\\( 4\pi \times 10^{-7} \, \text{H/m} \\))

Example Calculations

Example: Material with \\( M = 1000 \, \text{A/m}, B = 0.001 \, \text{T}, \mu_r = 1.0 \\)

\\[ \mu_0 = 4\pi \times 10^{-7} \approx 1.257 \times 10^{-6} \, \text{H/m} \\] \\[ H = \frac{0.001}{1.257 \times 10^{-6} \cdot 1.0} – 1000 \\] \\[ H = \frac{0.001}{1.257 \times 10^{-6}} – 1000 \approx 795774.716 – 1000 \approx 794774.716 \, \text{A/m} \\]

Result: \\( H \approx 794.77 \, \text{kA/m} \\)

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