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Statement on equilibrium in electromagnetism
Earnshaw's theorem states that a collection of point charges cannot be maintained in a stable stationary equilibrium configuration solely by the electrostatic
Earnshaw's_theorem
Process of levitating a charged object using electric fields
to suspend the gyroscopes in Gravity Probe B during launch. Due to Earnshaw's theorem, no static arrangement of classical electrostatic fields can be used
Electrostatic_levitation
Theorem of physical impossibility
the type of magnetic fields that can be produced by dynamo action. Earnshaw's theorem states that a collection of point charges cannot be maintained in
No-go_theorem
theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem (set theory) Erdős–Rado theorem (set
List_of_theorems
contributions to theoretical physics, especially for proving Earnshaw's theorem. Earnshaw was born in Sheffield and entered St John's College, Cambridge
Samuel_Earnshaw
Magnetic property of ordinary materials
power consumption. Earnshaw's theorem seems to preclude the possibility of static magnetic levitation. However, Earnshaw's theorem applies only to objects
Diamagnetism
Suspension of objects by magnetic force
{\displaystyle \mu _{0}} = 4π×10−7 N·A−2 is the permeability of the vacuum. Earnshaw's theorem proves that using only paramagnetic materials (such as ferromagnetic
Magnetic_levitation
Henry Perkin Dew Point Hygrometer – John Frederic Daniell Earnshaw's theorem – Samuel Earnshaw Electrical generator (dynamo) – Michael Faraday Electromagnet
List of British innovations and discoveries
List_of_British_innovations_and_discoveries
Topics referred to by the same term
Earnshaw may refer to: Earnshaw's theorem, a physics law stating that levitation with permanent magnets and other types of point charges is impossible
Earnshaw_(disambiguation)
Suspension of objects through a feedback loop of magnetic field strength changes
with electromagnets only used to stabilise the effect. According to Earnshaw's Theorem a paramagnetic body cannot rest in stable equilibrium when placed
Electromagnetic_suspension
Idealised model of a particle in physics
describes the electric force between two point charges. Another result, Earnshaw's theorem, states that a collection of point charges cannot be maintained in
Point_particle
Bearing which supports loads using magnetic levitation
power but are difficult to design due to the limitations described by Earnshaw's theorem. Techniques using diamagnetic materials are relatively undeveloped
Magnetic_bearing
Device for trapping charged particles
magnetic fields exert forces on ions, called the Lorentz force. Due to Earnshaw's theorem it is not possible to confine an ion using only static electric fields
Ion_trap
Converging particle beams using alternating field gradients
in a uniform magnetic field, only intersect once per revolution. Earnshaw's theorem shows that simultaneous focusing in two directions transverse to the
Strong_focusing
Problem in statistical physics
electromagnetic forces held matter together. However two problems co-existed. Earnshaw's theorem from 1842, proved that no charged body can be in a stable equilibrium
Stability_of_matter
Type of magnetic levitation
employing novel configurations for the supporting magnetic fields. Earnshaw's theorem does not allow for a static configuration of permanent magnets to
Spin-stabilized magnetic levitation
Spin-stabilized_magnetic_levitation
Group of four magnets
each other, their fields completely cancel out (in accordance with Earnshaw's theorem). But if there is a space between them (and the length of this has
Quadrupole_magnet
Material similar to graphite
rendering stable levitation impossible for magnetic objects (see Earnshaw's theorem). Strongly diamagnetic materials, however, can levitate above powerful
Pyrolytic_carbon
Differential operator in mathematics
in terms of Christoffel symbols. Weyl's lemma (Laplace equation). Earnshaw's theorem which shows that stable static gravitational, electrostatic or magnetic
Laplace_operator
Second-order partial differential equation
Quadrature domains Potential theory Potential flow Bateman transform Earnshaw's theorem uses the Laplace equation to show that stable static ferromagnetic
Laplace's_equation
Physics related to the study, design, building and operation of particle accelerators
optics, having similar properties regarding beam focusing (but obeying Earnshaw's theorem). The general equations of motion originate from relativistic Hamiltonian
Accelerator_physics
Object that has a magnetic field
expression of the force between two magnetic dipoles. Dipole magnet Earnshaw's theorem Electret Electromagnetic field Electromagnetism Halbach array Magnetic
Magnet
Curr, coal mine and railway engineer Samuel Earnshaw, mathematician known for creating Earnshaw's theorem Charles Harding Firth, historian Mark Firth
List_of_people_from_Sheffield
Proposed quantum computer implementation
particles cannot be trapped in 3D by only electrostatic forces because of Earnshaw's theorem. Instead, an electric field oscillating at radio frequency (RF) is
Trapped-ion_quantum_computer
Train system using magnetic levitation
one solution. Over long distances, coil costs could be prohibitive. Earnshaw's theorem shows that no combination of static magnets can be in a stable equilibrium
Maglev
German physicist (1901–1977)
the Braunbek coil, a modified Helmholtz coil. In 1939, he disproved Earnshaw's theorem by showing that there are magnetic fields in which small diamagnetic
Werner_Braunbek
Plane curve
asymptotic to a line Newton's theorem of revolving orbits – Theorem in classical mechanics Bertrand's theorem – Physics theorem Roger Cotes (1722). Robert
Cotes's_spiral
Beam Physics Earl W. McDaniel Earle Hesse Kennard Earle M. Terry Earnshaw's theorem Earth's magnetic field Earth's shadow Earth, Moon, and Planets Earth-Moon
Index_of_physics_articles_(E)
History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the
List of In Our Time programmes
List_of_In_Our_Time_programmes
Prize from University of Cambridge in mathematics and theoretical physics
examination question on a particular theorem that William Thomson had written to him about, which is now known as Stokes' theorem. T. W. Körner notes Only a small
Smith's_Prize
List of statements that appear to contradict themselves
excusable, it is not negligence. Gödel's incompleteness theorems – and Tarski's undefinability theorem Ignore all rules – To obey this rule, it is necessary
List_of_paradoxes
was actually stating a generalization of Abel's Theorem. The result, now known as Frobenius' theorem, has a simple statement in modern terms: any series
History_of_Grandi's_series
et particulière. April 12 – Euler produces the first proof of Fermat's theorem on sums of two squares, based on infinite descent. April 12 – Official
1749_in_science
example that not any function is integrable; and, in the proof of the theorem for the Fourier series, the Dirichlet kernel and Dirichlet integral. He
1829_in_science
Chemical element with atomic number 88 (Ra)
of the electron: An intuitive explanation for the evasion of Schiff's theorem". American Journal of Physics. 75 (6): 532–536. Bibcode:2007AmJPh..75.
Radium
Beauty. James Ax and Simon B. Kochen make the first proof of the Ax–Kochen theorem. James Cooley and John Tukey publish the general version of the Fast Fourier
1965_in_science
Schmucker - (Nettmann) Simon Schwartz - Matthias Schultheiss - (Bell's Theorem) Axel Schumacher - (High Speed) Harald Siepermann - (Alfred Jodocus Kwak)
List_of_comics_creators
equation of the second order and general proof of the Lagrange reversion theorem by Pierre-Simon Laplace in the late eighteenth and the early nineteenth
List of French inventions and discoveries
List_of_French_inventions_and_discoveries
Use of mathematical groups in magnetochemistry
direct sum decomposition is the Peter-Weyl theorem. The corresponding result for C[Γ] is Maschke's theorem. The algebra A has eigensubspaces a(gζ) = a(g)
Finite_subgroups_of_SU(2)
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