Topics covered on Exam 2
Chapter 21
- electric charge: two kinds, conserved, quantized (e is positive)
- like repel, unlike attract
- materials: conductors and insulators
- electrostatic induction
- Coulomb force law between point charges (constants k, permittivity of free space ε0)
- superposition of forces, using in force diagrams and with Newton's Laws
Chapter 22
- electric field concept; equation for E of point charge; superposition of E
- test charge method of finding electric field
- electric field lines:
- out of positive, into negative, can't cross
- density corresponds to field strength
- shell theorem
- E field of electric dipole
- electric dipole moment p
- force on charge in external E field (charge does not feel own field)
- motion of charged object in uniform E field
- torque on electric dipole in external E field
- potential energy of an electric dipole in external E field
- qualitatively, what happens to a dipole in a non-uniform external E field
Integration of Extended Objects
- charge densities (linear density λ, surface or area density σ, and volume density ρ)
- object integrals to obtain total charge
- object integrals to obtain E-field due to one-dimensional extended objects (straight rod)
(do each component, symmetry helps out)
- using symmetry to simplify object integrals
- other object integrals (point on axis of ring, point at center of arc)
- object integrals of certain flat objects
- superposition of several objects
Chapter 23
- flux of flowing fluid Φ
- electric flux
- integral definition of flux (we don't ever actually do this integral)
- conductors: no interior electric field
- Gauss's Law, cavities in conductors: Finding induced charges or charge densities
- Gauss's Law, Spherical Symmetries: choosing a Gaussian surface, finding Electric fields based on charge information
- Gauss's Law, Cylindrical Symmetries: choosing a Gaussian surface, finding Electric fields based on charge information
- superposition of objects that individually have one of these symmetries
- Gauss's Law: Planar symmetries, how to choose a Gaussian surface