< User:John R. BrewsRevision as of 19:16, 4 April 2011 by imported>John R. Brews
Angle brackets: & #x27E8; = ⟨ & #x27E9; = ⟩ & #10216; = ⟨ & #10217;= ⟩ <Φ|Ψ> <Φ|Ψ> <Φ|Ψ> ⟨Φ|Ψ⟩ ⟨Φ|Ψ⟩ ⟨Φ|Ψ⟩ ⟨Φ|Ψ⟩
Photos
Photos
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(PD) Photo: John R. Brews
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Mourning dove on nest in Tucson
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(PD) Photo: John R. Brews
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Morning dove with squab, Tucson AZ.
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(PD) Photo: John R. Brews
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Mourning dove with squab.
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(PD) Photo: John R. Brews
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Mourning dove squab.
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Magnetism
Magnetism
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(CC) Image: John R. Brews
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B-field lines near uniformly magnetized sphere
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(CC) Image: John R. Brews
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Magnetic flux density vs. magnetic field in steel and iron
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Chemistry
Chemistry
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(PD) Image: John R. Brews
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Reactants cross an energy barrier, enter an intermediate state and finally emerge in a lower energy configuration.
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Circuits
Widlar current source
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(CC) Image: John R. Brews
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Widlar current source using bipolar transistors
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(CC) Image: John R. Brews
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Small-signal circuit for finding output resistance of the Widlar source
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(CC) Image: John R. Brews
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Design trade-off between output resistance and output current in Widlar source
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Forces
Forces
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(CC) Image: John R. Brews
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Force and its equivalent force and couple
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(PD) Image: John R. Brews
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Centripetal force FC upon an object held in circular motion by a string of length R. The string is under tension FT, as shown separately to the left.
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(PD) Image: John R. Brews
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Upper panel: Ball on a banked circular track moving with constant speed v; Lower panel: Forces on the ball.
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(PD) Image: John R. Brews
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Polar unit vectors at two times t and t + dt for a particle with trajectory r ( t ); on the left the unit vectors uρ and uθ at the two times are moved so their tails all meet, and are shown to trace an arc of a unit radius circle.
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(PD) Image: John R. Brews
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Local coordinate system for planar motion on a curve.
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(PD) Image: John R. Brews
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Exploded view of rotating spheres in an inertial frame of reference showing the centripetal forces on the spheres provided by the tension in a rope tying them together.
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(PD) Image: John R. Brews
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Rotating spheres subject to centrifugal (outward) force in a co-rotating frame in addition to the (inward) tension from the rope.
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(PD) Image: John R. Brews
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The "whirling table". The rod is made to rotate about the axis and (from the bead's viewpoint) the centrifugal force acting on the sliding bead is balanced by the weight attached by a cord over two pulleys.
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(PD) Image: John R. Brews
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Force diagram for an element of water surface in co-rotating frame.
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(PD) Image: John R. Brews
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An object located at xA in inertial frame A is located at location xB in accelerating frame B.
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(PD) Image: John R. Brews
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An orbiting but fixed orientation coordinate system B, shown at three different times.
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(PD) Image: John R. Brews
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An orbiting coordinate system B in which unit vectors uj, j = 1, 2, 3 rotate to face the rotational axis.
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Crossing a rotating carousel walking at constant speed, a spiral is traced out in the inertial frame, while a simple straight radial path is seen in the frame of the carousel.
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(PD) Image: John R. Brews
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Rotating shaft unbalanced by two identical attached weights.
Image
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(PD) Image: John R. Brews
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Torque vector T representing a force couple.
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(PD) Image: John R. Brews
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An ellipsoid showing its axes
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(PD) Image: John R. Brews
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While the pendulum P swings in a fixed plane about its hanger at H, the planes of the Earth observer rotate.
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(PD) Image: John R. Brews
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As time progresses each unit vector's change is orthogonal to it.
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(PD) Image: John R. Brews
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Tossed ball on carousel. At the center of the carousel, the path is a straight line for a stationary observer, and is an arc for a rotating observer.
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(PD) Image: John R. Brews
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From the center of curvature of the path, the ball executes approximate circular motion.
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(PD) Image: John R. Brews
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Some useful notation for the ball toss on a carousel.
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(PD) Image: John R. Brews
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The ball follows a nearly circular path about the center of curvature.
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(PD) Image: John R. Brews
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The inertial forces on the ball combine to provide the resultant centripetal force required by Newton's laws for circular motion.
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(PD) Image: John R. Brews
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Stats for a particular path of ball toss.
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(PD) Image: John R. Brews
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Tangent-plane coordinate system on rotating Earth at latitude φ.
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(PD) Image: John R. Brews
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Wind motion in direction of pressure gradient is deflected by the Coriolis force.
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(PD) Image: John R. Brews
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In the northern hemisphere, Coriolis force forms a counterclockwise flow.
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(PD) Image: John R. Brews
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Path of ball for four rates of rotation. Catcher positioned so the catch is made at 12 o'clock in all cases.
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(PD) Image: John R. Brews
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A fluid forced through a rocking tube experiences a Coriolis acceleration.
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Electromagnetism
Electromagnetism
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(CC) Image: John R. Brews
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(PD) Image: John R. Brews
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The Fizeau apparatus for measuring the speed of light by passing it between the cogs of a rotating gear and reflecting it back through adjacent cogs.
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(PD) Image: John R. Brews
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Measuring a length using interference fringes.
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(PD) Image: John R. Brews
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The wavelengths of standing waves in a box that have zero amplitude (nodes) at the walls.
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(PD) Image: John R. Brews
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Devices
Devices
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(PD) Image: John R. Brews
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Cross section of MOS capacitor showing charge layers
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(PD) Image: John R. Brews
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Three types of MOS capacitance vs. voltage curves. VTH = threshold, VFB = flatbands
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(PD) Image: John R. Brews
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Small-signal equivalent circuit of the MOS capacitor in inversion with a single trap level
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(PD) Image: John R. Brews
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A modern MOSFET
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(PD) Image: John R. Brews
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A power MOSFET; source and body share a contact.
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(CC) Image: John R. Brews
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Calculated density of states for crystalline silicon.
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(CC) Image: John R. Brews
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Field effect: At a gate voltage above threshold a surface inversion layer of electrons forms at a semiconductor surface.
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(PD) Image: John R. Brews
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Occupancy comparison between n-type, intrinsic and p-type semiconductors.
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(PD) Image: John R. Brews
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Nonideal pn-diode current-voltage characteristics
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(PD) Image: John R. Brews
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Band-bending diagram for pn-junction diode at zero applied voltage
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(PD) Image: John R. Brews
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Band-bending for pn-diode in reverse bias
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(PD) Image: John R. Brews
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Quasi-Fermi levels in reverse-biased pn-junction diode
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(PD) Image: John R. Brews
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Band-bending diagram for pn-diode in forward bias
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(PD) Image: John R. Brews
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Fermi occupancy function vs. energy departure from Fermi level in volts for three temperatures
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(PD) Image: John R. Brews
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Fermi surface in k-space for a nearly filled band in the face-centered cubic lattice
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(PD) Image: John R. Brews
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A constant energy surface in the silicon conduction band consists of six ellipsoids.
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(PD) Image: John R. Brews
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Planar Schottky diode with n+-guard rings and tapered oxide.
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(PD) Image: John R. Brews
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Comparison of Schottky and pn-diode current voltage curves.
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(PD) Image: John R. Brews
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Schottky barrier formation on p-type semiconductor. Energies are in eV.
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(PD) Image: John R. Brews
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Schottky diode under forward bias VF.
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Schottky diode under reverse bias VR.
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(PD) Image: John R. Brews
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Critical electric field for breakdown versus bandgap energy in several materials.
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(PD) Image: John R. Brews
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Schottky barrier height vs. metal electronegativity for some selected metals on n-type silicon.
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Vestibular system
Vestibular system
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(PD) Image: John R. Brews
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When the semicircular canal stops rotating, inertia causes the cupula to register a false rotation in the opposite sense.
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(PD) Image: John R. Brews
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Top: The semicircular canals with head erect. Bottom: the canals with head tipped forward.
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