ELECTROMAGNETISM

At the end of the course, the student will be able to:

• Solve problems in electrostatics;
• Explain electric conduction in metals, state and apply the equation of continuity, and calculate resistances of given pairs of conductors.
• Derive expressions for the capacitances of cylindrical and spherical capacitors; and densities due to simple current distributions.
• Solve problems involving static magnetic fields.
• Explain magnetic properties of matter.
• Apply the laws of electromagnetic induction to problems involving eddy currents, self and mutual induction, and derive Neumann’s formula;
• State Maxwell’s equations of electromagnetism and derive the wave equations for E and H in dielectrics, and in conducting media.
• Derive the relation between time-averaged Poynting’s vector and the energy density of the electromagnetic field.
• Solve problems involving reflection and refraction of plane waves.