🧲 Electromagnetism & Magnetic Fields
Magnetic Flux Density ($B$-Field) Converter
Convert magnetic flux density ($B = \Phi/A$) between Tesla ($\text{T}$), Gauss ($\text{G}$), Millitesla ($\text{mT}$), Microtesla ($\mu\text{T}$), and $\text{Gamma}$ ($\gamma$).
🌍 Earth Field (50 µT)
📎 Fridge Magnet (5 mT)
🧲 Neodymium (1.2 T)
🏥 Hospital MRI (3.0 T)
🔬 Superconducting (20 T)
Input Magnetic Field ($B$)
Standard Gauss (G)
15,000 G
Tesla (T)
1.500 T
Millitesla (mT)
1,500 mT
Microtesla (µT)
1.50 × 10⁶ µT
💡 Tesla vs Gauss Equivalence:
$$1\text{ Tesla (T)} = 10,000\text{ Gauss (G)} = 1,000\text{ mT} = 10^6\text{ }\mu\text{T} = 10^9\text{ Gamma}$$
Understanding Magnetic Flux Density
Magnetic flux density ($\vec{B}$) measures the strength and direction of the magnetic field per unit perpendicular area:
- Lorentz Force Law: $$\vec{F} = q(\vec{v} \times \vec{B}) \implies 1\text{ Tesla} = 1\text{ }\frac{\text{N}}{\text{A}\cdot\text{m}} = 1\text{ }\frac{\text{Wb}}{\text{m}^2}$$
- Gauss vs Tesla: The CGS unit is Gauss ($1\text{ G} = 10^{-4}\text{ T}$). Earth's magnetic field is $\approx 0.5\text{ G}$ ($50\text{ }\mu\text{T}$).
- Geophysics Gamma ($\gamma$): Used in geomagnetic surveys: $1\text{ }\gamma = 1\text{ nT} = 10^{-9}\text{ T}$.