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2. (a) Write down the differential form of the four Maxwell equations relating fields, charges and currents in the presence of media. Explain briefly the meaning of the various quantities and mathematical symbols. (b) With the aid of sketches, explain the concepts of surface bound charge and bound current, and volume bound charge and bound current. (c) Explain in words and equations the relationships between the fields D and E and between the fields B and H. What properties of the media are required to link these quantities? (d) State the constitutive relations for both the electric and magnetic cases and describe the simplifying assumptions usually made. Define the permittivity, the permeability, the electric susceptibility and the magnetic susceptibility. (e) An electromagnetic wave propagates in a material. Describe the differences that arise in the wave compared to the case of a wave propagating in vacuum if the material has; i. a finite electric susceptibility, ii. a finite magnetic susceptibility, iii. a finite conductivity.