Chemical Engineering

Electrostatics: Experimental results; the electric charge; Coulomb's law and definition of the electric field; the principle of superposition; the electrostatic potential; the electric dipole; flux of a vector field; Gauss's law; the equations for electrostatics. Electrostatics and conductors: Capacity and associated energy; capacitors in series and parallel. Electric current: Electromotive force; current density and current intensity; principle of conservation of electric charge; Ohm's law; Joule's law; resistences in series and parallel. Kirchhoff's laws. Magnetostatics: The sources of the magnetic field and experimental facts; the law of Biot-Savart; I and II laws of Laplace; definition of the Ampere; magnetic dipole of a current loop; line integrals on closed loops and Ampere's Law; integral and differential forms for the equations of magnetostatics; Electromagnetic induction: The Lorentz force; Faraday's law of induction and Lenz's law; Foucault currents; rotor of the electric field; inductance and associated energy; the RL circuit; mutual inductance. The electric field in matter: Experimental aspects; molecular polarization; polar and non polar dielectrics; polarization density vector; surface and volumetric polarization charge density; electric displacement field vector; divergence of the electric displacement vector; electric susceptibility and dielectric constant; electric potential in dielectric media; continuity conditions of the electric and electric displacement vectors at the interface of two isotropic and homogeneous dielectrics; force on a dielectric in a capacitor; dielectric strength. Magnetic field in matter: Orbital and spin magnetic moments in atoms; diamagnetism and paramagnetism; magnetization intensity; surface and volumetric magnetization currents; Ampère's law in matter; magnetic field intensity vector; magnetic permeability and susceptibility; continuity of the magnetic field and intensity at the interface of isotropic and homogeneous materials; ferromagnetism; hysteresis; magnetic circuits and Hopkinson's law; force acting on materials in a magnetic field; Alternate currents: Symbolic method. Resonance. Power absorbed by circuits with alternate currents. Maxwell's Equations and waves: The displacement current and Maxwell's equations in vacuum in integral and differential form; associated wave equation; speed of light in vacuum; plane waves, polarization. Spectrum of electromagnetic waves. Poynting vector. Boundary conditions of fields on a surface. Reflection and refraction of electromagnetic waves. Snell Law. Fresnel Relations. Dispersion of light. Interference. Diffraction. Interference.

Linear Algebra, Calculus, classical mechanics and thermodynamics

Main reference book: “Fisica – Volume II" di P.Mazzoldi, M.Nigro, C.Voci, EdiSes, second edition. Books for further insights: “Fisica II” di C. Mencuccini, V. Silvestrini, Zanichelli Additional material is available for download at https://elearning.uniroma1.it/

Classroom lessons, 8 hours per week.

written test: solve 4 exercises in 2 hours oral test: 3 questions.

The course consists of both theory lessons (60%) and exercises (40%) carried out in the classroom.