Lecture XX - UWI, Mona
... that sphere. Remember that ϑ ∈ [0, π] and ϕ ∈ [0, 2π]. Hence, recognizing that the role of the parameters t and s are now played by ϑ and ϕ, respectively, we conclude that the parametric representation we are looking for is given by r(ϑ, ϕ) = a [sin ϑ cos ϕ ex + sin ϑ sin ϕ ey + cos ϑ ez ] . Surface ...
... that sphere. Remember that ϑ ∈ [0, π] and ϕ ∈ [0, 2π]. Hence, recognizing that the role of the parameters t and s are now played by ϑ and ϕ, respectively, we conclude that the parametric representation we are looking for is given by r(ϑ, ϕ) = a [sin ϑ cos ϕ ex + sin ϑ sin ϕ ey + cos ϑ ez ] . Surface ...
Superconducting properties of vacuum in strong magnetic field
... ground states are inevitably associated with the presence of topological vortexlike defects in the corresponding condensates. The condensates vanish in the center of the vortices while the phase of the condensate winds around the vortex core by a 2⇡ ...
... ground states are inevitably associated with the presence of topological vortexlike defects in the corresponding condensates. The condensates vanish in the center of the vortices while the phase of the condensate winds around the vortex core by a 2⇡ ...
ll ne - Arihant Book
... This phenomena is called quantisation of electric charge. It can be written as q = ± ne . where, n = 1, 2, 3, ××× is any integer, positive or negative and e is the basic unit of charge. Charge is said to be quantised because it can have only discrete values rather than any arbitrary value, i.e. free ...
... This phenomena is called quantisation of electric charge. It can be written as q = ± ne . where, n = 1, 2, 3, ××× is any integer, positive or negative and e is the basic unit of charge. Charge is said to be quantised because it can have only discrete values rather than any arbitrary value, i.e. free ...
Chapter 11 Inductance and Magnetic Energy
... As the magnetic flux through the rings grows, Faraday’s law of induction tells us that there is an electric field induced by the time-changing magnetic field that is circulating clockwise as seen from above. The force on the charges due to this electric field is thus opposite the direction the exter ...
... As the magnetic flux through the rings grows, Faraday’s law of induction tells us that there is an electric field induced by the time-changing magnetic field that is circulating clockwise as seen from above. The force on the charges due to this electric field is thus opposite the direction the exter ...
A simulation study
... moment in an external electric field. The resulting dipolar interactions between the colloids lead to the formation of stringlike clusters where the dipoles are aligned head-to-toe.1–3 As a result, the rheological properties of these suspensions can be tuned by the electric field. Therefore, these s ...
... moment in an external electric field. The resulting dipolar interactions between the colloids lead to the formation of stringlike clusters where the dipoles are aligned head-to-toe.1–3 As a result, the rheological properties of these suspensions can be tuned by the electric field. Therefore, these s ...
Electric Forces and Fields
... examples of static electricity buildup through friction. It is only in the 20th century that we have learned that these macroscopic phenomena are due to the elementary charged particles, electrons and protons, making up all atoms. Our modern picture of matter, briefly introduced in Chapter 1, views ...
... examples of static electricity buildup through friction. It is only in the 20th century that we have learned that these macroscopic phenomena are due to the elementary charged particles, electrons and protons, making up all atoms. Our modern picture of matter, briefly introduced in Chapter 1, views ...
Ch 26 Lecture
... Consider a particle of charge q and mass m at a point where an electric field E has been produced by other charges, the source charges. The electric field exerts a force Fon q qE. ...
... Consider a particle of charge q and mass m at a point where an electric field E has been produced by other charges, the source charges. The electric field exerts a force Fon q qE. ...
Shortwave Diathermy
... flowing through the tissue will be determined by the total impedance of the tissue plus the air space between tissue and capacitor plates. Current will flow in the direction of the field lines and the proportions of real and displacement current will depend on the electrical properties of the partic ...
... flowing through the tissue will be determined by the total impedance of the tissue plus the air space between tissue and capacitor plates. Current will flow in the direction of the field lines and the proportions of real and displacement current will depend on the electrical properties of the partic ...
Boron induced charge traps near the interface of Si/SiO2 probed by
... Ellipsometry was used to measure the thicknesses of the native oxide layers. All wafers were found to have a 2 nm thick oxide within experimental error. A laser power of 400 mW corresponds to an approximately 8.8 GW/cm2 peak intensity on the sample surface. 3 Boron induced charge traps An initial sh ...
... Ellipsometry was used to measure the thicknesses of the native oxide layers. All wafers were found to have a 2 nm thick oxide within experimental error. A laser power of 400 mW corresponds to an approximately 8.8 GW/cm2 peak intensity on the sample surface. 3 Boron induced charge traps An initial sh ...
Chapter 11 The Uniform Plane Wave
... these media, but it is not necessary to use a separate treatment; it is possible (and not very difficult) to solve the general problem once and for all. To consider wave motion in free space first, Maxwell's equations may be written in terms of E and H only as @E @t @H ...
... these media, but it is not necessary to use a separate treatment; it is possible (and not very difficult) to solve the general problem once and for all. To consider wave motion in free space first, Maxwell's equations may be written in terms of E and H only as @E @t @H ...
inelastic collisions in cold dipolar gases - UKnowledge
... Bose-Einstein condensates and degenerate Fermi gases are exotic states of matter that occur when dilute gases are cooled near absolute zero. They were predicted in the 1920s, but for decades the technology to produce them did not exist. During the 1980s the ability to cool and trap atoms with lasers ...
... Bose-Einstein condensates and degenerate Fermi gases are exotic states of matter that occur when dilute gases are cooled near absolute zero. They were predicted in the 1920s, but for decades the technology to produce them did not exist. During the 1980s the ability to cool and trap atoms with lasers ...
AH Physics staff guide N Fancey G Millar J Woolsey
... though not a strict requirement of the syllabus. In such cases the syllabus requirements are stated. Where material clearly goes beyond the demands of the syllabus it has been put in a box. For example, material has been included which extends the Content Statements or which give a mathematical proo ...
... though not a strict requirement of the syllabus. In such cases the syllabus requirements are stated. Where material clearly goes beyond the demands of the syllabus it has been put in a box. For example, material has been included which extends the Content Statements or which give a mathematical proo ...
平成 24 年度 修士論文 Filamentary plasma formation modeling in cm
... relative values of permittivity and permeability for a specific linear isotropic medium respectively, for free space and air the values of εr and μr can be considered as one. The first equation (2-7) is total current equations, it is Ampère’s circuital law with Maxwell’s bound current correction, th ...
... relative values of permittivity and permeability for a specific linear isotropic medium respectively, for free space and air the values of εr and μr can be considered as one. The first equation (2-7) is total current equations, it is Ampère’s circuital law with Maxwell’s bound current correction, th ...
Zonal Flows and Fields Generated by Turbulence in CHS
... produce a structure. For example, it is well known that the Rossby wave turbulence should generate the Jovian belt or zonal flows [1], and that turbulence should be the cause for the geomagnetic (dipole) field. In 1970s, it was pointed out that the drift wave turbulence should obey the same equation ...
... produce a structure. For example, it is well known that the Rossby wave turbulence should generate the Jovian belt or zonal flows [1], and that turbulence should be the cause for the geomagnetic (dipole) field. In 1970s, it was pointed out that the drift wave turbulence should obey the same equation ...
Field (physics)
In physics, a field is a physical quantity that has a value for each point in space and time. For example, on a weather map, the surface wind velocity is described by assigning a vector to each point on a map. Each vector represents the speed and direction of the movement of air at that point. As another example, an electric field can be thought of as a ""condition in space"" emanating from an electric charge and extending throughout the whole of space. When a test electric charge is placed in this electric field, the particle accelerates due to a force. Physicists have found the notion of a field to be of such practical utility for the analysis of forces that they have come to think of a force as due to a field.In the modern framework of the quantum theory of fields, even without referring to a test particle, a field occupies space, contains energy, and its presence eliminates a true vacuum. This lead physicists to consider electromagnetic fields to be a physical entity, making the field concept a supporting paradigm of the edifice of modern physics. ""The fact that the electromagnetic field can possess momentum and energy makes it very real... a particle makes a field, and a field acts on another particle, and the field has such familiar properties as energy content and momentum, just as particles can have"". In practice, the strength of most fields has been found to diminish with distance to the point of being undetectable. For instance the strength of many relevant classical fields, such as the gravitational field in Newton's theory of gravity or the electrostatic field in classical electromagnetism, is inversely proportional to the square of the distance from the source (i.e. they follow the Gauss's law). One consequence is that the Earth's gravitational field quickly becomes undetectable on cosmic scales.A field can be classified as a scalar field, a vector field, a spinor field or a tensor field according to whether the represented physical quantity is a scalar, a vector, a spinor or a tensor, respectively. A field has a unique tensorial character in every point where it is defined: i.e. a field cannot be a scalar field somewhere and a vector field somewhere else. For example, the Newtonian gravitational field is a vector field: specifying its value at a point in spacetime requires three numbers, the components of the gravitational field vector at that point. Moreover, within each category (scalar, vector, tensor), a field can be either a classical field or a quantum field, depending on whether it is characterized by numbers or quantum operators respectively. In fact in this theory an equivalent representation of field is a field particle, namely a boson.