3. Consider an infinitely long cylinder with cross-section of radius R₁ and made from a perfect conductor. The cylinder carries a steady current I. The conductive cylinder is embed-ded within a cylinder with same axis and made from a magnetic material (assumed to be isotropic, linear, and homogeneous) with permeability μ (cf. Fig. 4.3). The magnetic cylinder has radius R2. i) Calculate and plot the fields B, H, and Mat each point in space. Plot the intensities of each field as a function of the radial distance between a generic point in space and the cylinders' axis; [12.5 points] ii) Calculate the volume and surface magnetization currents for the given system. [12.5 points] 5 Э Figure 4.3