What is relative permeability \(\mu_r\)?

Name the three common classes of magnetic response discussed in introductory magnetism.

State the relation between \(\vec B\), \(\vec H\), and magnetization \(\vec M\).

A linear material has \(\mu_r=200\). If the same free current would produce \(B_0=3.0\times10^{-4}\,\mathrm T\) in vacuum, estimate \(B\) in the material.

For a linear magnetic material, how are \(\mu_r\) and magnetic susceptibility \(\chi_m\) related?

A material has \(\chi_m=-1.0\times10^{-5}\). Is it diamagnetic or paramagnetic, and why?

What is magnetic hysteresis?

Why can a ferromagnetic material remain magnetized after an external magnetizing field is removed?

A linear material has \(\chi_m=4.0\times10^{-3}\) and \(H=2.5\times10^3\,\mathrm{A\,m^{-1}}\). Find \(M\) and \(B\).

A long solenoid has \(n=1000\,\mathrm{m^{-1}}\), current \(0.80\,\mathrm A\), and a linear core with \(\mu_r=150\). Estimate the internal field and state one limitation of this model.