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Capacitor: any two conductors, one with charge +Q, other with
Capacitor: any two conductors, one with charge +Q, other with

... •  The two 5µF capacitors are in parallel •  Replace by 10µF •  Then, we have two 10µF capacitors in series •  So, there is 5V across the 10µF capacitor of interest •  Hence, Q = (10µF )(5V) = 50µC ...
The Question of Einstein`s Speculation E = mc2 and
The Question of Einstein`s Speculation E = mc2 and

... where q and M are the charge and mass of a particle, and r is the radial distance from the particle center. In metric (5), the gravitational components generated by electricity have not only a very different radial coordinate dependence but also a different sign that makes it a new repulsive gravity ...
Many-Body effects in Semiconductor Nanostructures Stockholm University Licentiat Thesis
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THE B850 / B875 PHOTOSYNTHETIC COMPLEX GROUND AND

... in the B800, and B850 and B875 rings contains a coordinated Mg(+2) which is the driving force in the latter two structures to create a coherent ground state called a charge density wave (CDW). Initially we will assume that the B800 and other peripheral light absorbing compounds are incoherently conn ...
energy per unit charge
energy per unit charge

... • If the strength of the electric field between the plates of an air filled capacitor becomes too strong, then the air can no longer insulate the charges from sparking (discharging) between the plates. For air, this breakdown occurs when the electric field is greater than 3x106 V/m. (this is what oc ...
Lab 2: Electric Fields – Coulomb Force at a Distance
Lab 2: Electric Fields – Coulomb Force at a Distance

... of base pairs. In genetic engineering it is often necessary to isolate or sequence one particular piece of DNA. This analysis is done using electrophoresis. The DNA is placed in a Jello-type substance called agarose gel. Positive charges are placed on one end of the gel and a negative charges are pl ...
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PHY481: Electrostatics Introductory E&M review (2) Course web site: www.pa.msu.edu/courses/phy481

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... In this work we used a free simulator 1D Poisson. This simulator can be used for calculating energy band diagram for semiconductor structures. It basically solves the 1D Poisson and Schrodinger equations self-consistently [17]. More details about the theory can be found elsewhere [18,19]. The band d ...
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Quantum electrodynamics: one- and two-photon processes Contents December 19, 2005

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Effect of electric field on the electronic spectrum and

... large ( E  0.05 ),L of the ground state depends linearly on B as shown in Fig.1c, where the slope of the straight line is independent of E. It implies that, while the magnitude of  L is determined by E, the magnitude of L is essentially determined by B. (4) An increase in E leads to a great reduct ...
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Wednesday, Aug. 31, 2005

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here are the solutions

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< 1 ... 58 59 60 61 62 63 64 65 66 ... 139 >

Casimir effect



In quantum field theory, the Casimir effect and the Casimir–Polder force are physical forces arising from a quantized field. They are named after the Dutch physicist Hendrik Casimir.The typical example is of two uncharged metallic plates in a vacuum, placed a few nanometers apart. In a classical description, the lack of an external field means that there is no field between the plates, and no force would be measured between them. When this field is instead studied using the QED vacuum of quantum electrodynamics, it is seen that the plates do affect the virtual photons which constitute the field, and generate a net force—either an attraction or a repulsion depending on the specific arrangement of the two plates. Although the Casimir effect can be expressed in terms of virtual particles interacting with the objects, it is best described and more easily calculated in terms of the zero-point energy of a quantized field in the intervening space between the objects. This force has been measured and is a striking example of an effect captured formally by second quantization. However, the treatment of boundary conditions in these calculations has led to some controversy.In fact, ""Casimir's original goal was to compute the van der Waals force between polarizable molecules"" of the metallic plates. Thus it can be interpreted without any reference to the zero-point energy (vacuum energy) of quantum fields.Dutch physicists Hendrik B. G. Casimir and Dirk Polder at Philips Research Labs proposed the existence of a force between two polarizable atoms and between such an atom and a conducting plate in 1947, and, after a conversation with Niels Bohr who suggested it had something to do with zero-point energy, Casimir alone formulated the theory predicting a force between neutral conducting plates in 1948; the former is called the Casimir–Polder force while the latter is the Casimir effect in the narrow sense. Predictions of the force were later extended to finite-conductivity metals and dielectrics by Lifshitz and his students, and recent calculations have considered more general geometries. It was not until 1997, however, that a direct experiment, by S. Lamoreaux, described above, quantitatively measured the force (to within 15% of the value predicted by the theory), although previous work [e.g. van Blockland and Overbeek (1978)] had observed the force qualitatively, and indirect validation of the predicted Casimir energy had been made by measuring the thickness of liquid helium films by Sabisky and Anderson in 1972. Subsequent experiments approach an accuracy of a few percent.Because the strength of the force falls off rapidly with distance, it is measurable only when the distance between the objects is extremely small. On a submicron scale, this force becomes so strong that it becomes the dominant force between uncharged conductors. In fact, at separations of 10 nm—about 100 times the typical size of an atom—the Casimir effect produces the equivalent of about 1 atmosphere of pressure (the precise value depending on surface geometry and other factors).In modern theoretical physics, the Casimir effect plays an important role in the chiral bag model of the nucleon; in applied physics, it is significant in some aspects of emerging microtechnologies and nanotechnologies.Any medium supporting oscillations has an analogue of the Casimir effect. For example, beads on a string as well as plates submerged in noisy water or gas illustrate the Casimir force.
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