Physics
Physics
Problem
A circular coil of 150 turns and radius is wound over a cylindrical core of magnetic material whose relative permeability is . The coil carries a current of . Assume that the magnetic material is magnetically linear and completely fills the interior of the coil. a. (i) Calculate the magnitude of the magnetic field at the centre of the coil when the core is present. b. (ii) By what factor does this field exceed the magnetic field at the centre of the same coil when the core is absent? Present your answer to one decimal place.Intuitive explanation
The key is understanding how a ferromagnetic core amplifies the magnetic field inside a coil. Without the core, you'd use for a solenoid; with a high-permeability material present, the field is enhanced by a factor of because the material's magnetization adds to the applied field. Here, you're calculating the actual field strength inside the core by accounting for both the coil's geometry (turns and current) and the material's ability to concentrate magnetic flux.
Intuitive explanation
The key is understanding how a ferromagnetic core amplifies the magnetic field inside a coil. Without the core, you'd use for a solenoid; with a high-permeability material present, the field is enhanced by a factor of because the material's magnetization adds to the applied field. Here, you're calculating the actual field strength inside the core by accounting for both the coil's geometry (turns and current) and the material's ability to concentrate magnetic flux.