I have a question about solenoids.
The formula for the magnetic field energy density is:
[itex]\frac{1}{2}\frac{B^{2}}{μ}[/itex]
If I have an air-filled core, then μ=μ0. If I have a steel core, then μ will be ~ 100μ0. This implies that an air-filled core solenoid stores more energy than a steel core solenoid since the denominator for the air-core case is smaller.
Doesn't this contradict the fact that solenoids with a ferromagnetic core produce stronger magnetic fields than a solenoids with no core?
The formula for the magnetic field energy density is:
[itex]\frac{1}{2}\frac{B^{2}}{μ}[/itex]
If I have an air-filled core, then μ=μ0. If I have a steel core, then μ will be ~ 100μ0. This implies that an air-filled core solenoid stores more energy than a steel core solenoid since the denominator for the air-core case is smaller.
Doesn't this contradict the fact that solenoids with a ferromagnetic core produce stronger magnetic fields than a solenoids with no core?