#### Magnetic shell, uniformly magnetized sphere; Ferromagnetic materials, hysteresis, energy loss. Biot-Savart law, Ampere’s law,

Questions:

**Q 1.** State Biot-Savart law. Calculate the magnitude of axial magnetic induction due to a circular loop of area A carrying current I. **[15 marks]**

**Q 2. **A uniformly magnetised sphere of radius $R$ has magnetization $\vec M=M_0\hat z$. If the scalar magnetic potentials inside and outside the sphere are given as under

and

** **where $r, \theta$ are two spherical coordinates, find the magnetic field inside and outside the sphere. **[15 marks]**

Video Solution at 11 pm