Enter the magnetic field strength and the permeability of free space into the calculator to determine the magnetic pressure.
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Magnetic Pressure Formula
The following formula is used to calculate the magnetic pressure for a given magnetic field strength and permeability of free space.
P = (B²) / (2 * μ₀)
Variables:
- P is the magnetic pressure
- B is the magnetic field strength
- μ₀ is the permeability of free space (approximately 1.2566370614e-6 H/m)
To calculate the magnetic pressure, square the magnetic field strength and divide by twice the permeability of free space.
What is Magnetic Pressure?
Magnetic pressure is the pressure exerted by a magnetic field on a given area. It is a measure of the energy density of the magnetic field and is proportional to the square of the magnetic field strength. Magnetic pressure plays a significant role in various physical phenomena, including the behavior of plasmas in magnetic confinement devices, the stability of astrophysical objects, and the dynamics of magnetohydrodynamic systems.
How to Calculate Magnetic Pressure?
The following steps outline how to calculate the Magnetic Pressure.
- First, determine the magnetic field strength (B).
- Next, determine the permeability of free space (μ₀).
- Next, calculate the magnetic pressure using the formula P = (B²) / (2 * μ₀).
- Finally, calculate the Magnetic Pressure.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Magnetic Field Strength (B) = 0.5 T
Permeability of Free Space (μ₀) = 1.2566370614e-6 H/m