PPT-Lenses Physics 2415 Lecture 33

Michael Fowler UVa Todays Topics A bit more about mirrors Refraction Lenses Ray tracing to locate image Concave Mirror Focusing Sunlight This solar collector is really many small flat mirrors but equivalent to a concave mirror focusing parallel rays to a point half way from the center of the mirror to its center of curvature. Assembly Language and . Arduino. Behind the C code (or sketch). C provides a somewhat human-readable interface. but it gets . compiled. into machine instruction set. ultimately just binary (or hex) instructions loaded into the . Michael Fowler, . UVa. Today’s Topics. Huygens’ principle and refraction. Snell’s law and applications. Dispersion. Total internal reflection. Huygens’ Principle. Newton’s contemporary Christian Huygens believed light to be a wave, and pictured its propagation as follows: at any instant, the wave front has reached a certain line or curve. From every point on this wave front, a . Lecture 1. Michael Fowler. Basic Outline. The course has three main parts, each about a month: . Electrostatics.. Magnetism and Magnetic Induction.. Electromagnetic Waves.. We’ll cover some other waves, and optical phenomena, in the last few lectures. We’ll also cover DC and AC circuits in the course.. Michael Fowler, UVa. Today’s Topics. Field lines and . equipotentials. Partial derivatives. Potential along a line from two charges. Electric breakdown of air. Potential Energies Just Add. Suppose you want to bring one charge . Michael Fowler, UVa. Today’s Topics. Continuous charge distributions: line of charge. Visualizing the field: lines of force. Electron moving in a field. Electric dipoles. Superposition. The . total electric force . Michael Fowler, . UVa. Today’s Topics. The wave equation. Energy and power of waves. Superposition. Standing waves as sums of traveling waves. Fourier series. Harmonic Waves. A simple harmonic wave has sinusoidal form:. Michael Fowler, . UVa. Today’s Topics. Dimensions. Wave types: transverse and longitudinal. Wave velocity using dimensions. Harmonic waves. Dimensions. There are three fundamental units in mechanics: those of mass, length and time. . Raytracing. Lecture 7: Optics. UCSD Physics 122. 2. Reflection. We describe the path of light as straight-line rays. “geometrical optics” approach. Reflection off a flat surface follows a simple rule:. Michael Fowler, . UVa. Today’s Topics. Multi-slit interference. The diffraction grating: spectra. Waves and particles, more diffraction. Radio astronomy. Light Intensity Pattern from Two Slits. We have two equal-strength rays, phase shifted by. Michael Fowler, . UVa. Today’s Topics. Mention of AC. Semiconductors and superconductors. Battery . emf. , internal resistance. Series and parallel resistances. Kirchhoff’s rules. AC and DC. Batteries. Michael Fowler, . UVa. Today’s Topics. Review self and mutual induction. LR. Circuits. LC. Circuits. Definition of Self-Inductance. For any shape conductor, when the current changes there is an induced emf . Michael Fowler, . UVa. Today’s Topics. Electric motors and galvanometers. Ratio of charge to mass for an electron. Hall Effect. Mass spectometry. Reviewing Essential Facts:. The force on an element of current in a wire in a magnetic field is:. Michael Fowler, . UVa. Today’s Topics. General form of Faraday’s Law. Self-Inductance. Mutual Inductance. Energy in a Magnetic Field. Faraday’s Law: General Form. A changing magnetic flux through a loop generates an emf around the loop which will drive a current. The emf can be written:. Michael Fowler, . UVa. Today’s Topics. The . lensmaker’s. formula. Magnifying power. Lens combinations: ray tracing, telescopes.. Refraction at a Spherical Surface. Rays close to the axis (“paraxial”) will focus to an image inside the glass:.