Earnshaw's theorem states that a collection of point charges cannot be maintained in a stable stationary equilibrium configuration solely by the electrostatic...

originated with Samuel Earnshaw in 1839 and was formalized by James Clerk Maxwell in 1874 who gave it the title "Earnshaw's theorem" and proved it with the...

{\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...

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...

noted for his contributions to theoretical physics, especially "Earnshaw's theorem". Earnshaw was born in Sheffield and entered St John's College, Cambridge...

power consumption. Earnshaw's theorem seems to preclude the possibility of static magnetic levitation. However, Earnshaw's theorem applies only to objects...

power but are difficult to design due to the limitations described by Earnshaw's theorem. Techniques using diamagnetic materials are relatively undeveloped...

with electromagnets only used to stabilise the effect. According to Earnshaw's Theorem a paramagnetic body cannot rest in stable equilibrium when placed...

describes the electric force between two point charges. Another result, Earnshaw's theorem, states that a collection of point charges cannot be maintained in...

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...

Dunford–Pettis theorem (probability theory) Dunford–Schwartz theorem (functional analysis) Earnshaw's theorem (electrostatics) Easton's theorem (set theory)...

field. This is a consequence of Earnshaw's theorem. However, physicists have various ways of working around this theorem by using combinations of static...

rendering stable levitation impossible for magnetic objects (see Earnshaw's theorem). Strongly diamagnetic materials, however, can levitate above powerful...

in terms of Christoffel symbols. Weyl's lemma (Laplace equation). Earnshaw's theorem which shows that stable static gravitational, electrostatic or magnetic...

Quadrature domains Potential theory Potential flow Bateman transform Earnshaw's theorem uses the Laplace equation to show that stable static ferromagnetic...

employing novel configurations for the supporting magnetic fields. Earnshaw's theorem does not allow for a static configuration of permanent magnets to...

expression of the force between two magnetic dipoles. Dipole magnet Earnshaw's theorem Electret Electromagnetic field Electromagnetism Halbach array Magnetic...

in a uniform magnetic field, only intersect once per revolution. Earnshaw's theorem shows that simultaneous focusing in two directions transverse to the...

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...

optics, having similar properties regarding beam focusing (but obeying Earnshaw's theorem). The general equations of motion originate from relativistic Hamiltonian...

charged particle in all three directions (this restriction is known as Earnshaw's theorem). It is possible, however, to create an average confining force in...

particles cannot be trapped in 3D by just electrostatic forces because of Earnshaw's theorem. Instead, an electric field oscillating at radio frequency (RF) is...

Henry Perkin Dew Point Hygrometer – John Frederic Daniell Earnshaw's theorem – Samuel Earnshaw Electrical generator (dynamo) – Michael Faraday Electromagnet...

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...

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...

History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the...

is a constant, it can be brought outside of the integral. Using Gauss's theorem and Poisson's equation gives L = c κ ∫ S ∇ Φ ⋅ d S = c κ ∫ V ∇ 2 Φ d V...

itself Bertrand's theorem – Physics theorem Hyperbolic spiral – Spiral asymptotic to a line Newton's theorem of revolving orbits – Theorem in classical mechanics...

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...

of the electron: An intuitive explanation for the evasion of Schiff's theorem". American Journal of Physics. 75 (6): 532–536. Bibcode:2007AmJPh..75....