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Region in space where every point is at the same potential
In mathematics and physics, an equipotential or isopotential refers to a region in space where every point is at the same potential. This usually refers
Equipotential
Curve along which a 3-D surface is at equal elevation
potential. The term equipotential line or isopotential line refers to a curve of constant electric potential. Whether crossing an equipotential line represents
Contour_line
Equipotentiality refers to a psychological theory in both neuropsychology and behaviorism. Karl Spencer Lashley defined equipotentiality as "The apparent
Equipotentiality
Method of protection from electric shock
metal objects such as pipes together to the mains earth to form an equipotential zone. This is done in the UK because many buildings are supplied with
Electrical_bonding
Height of a geographic location above a fixed reference point
reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum § Vertical datum). The term
Elevation
reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface. Of all countries, Lesotho has the world's highest
List of elevation extremes by country
List_of_elevation_extremes_by_country
Fractal sets in complex dynamics of mathematics
equipotential lines for φ(z) lie close, the number | φ ′ ( z ) | {\displaystyle |\varphi '(z)|} is large, and conversely, therefore the equipotential
Julia_set
Ocean shape without winds and tides
of continental points above the geoid by spirit leveling. Being an equipotential surface, the geoid is, by definition, a surface upon which the force
Geoid
Gravitationally-binding region around a star in a binary system
approximately teardrop-shaped region bounded by a critical gravitational equipotential, with the apex of the teardrop pointing towards the other star (the
Roche_lobe
Fourth planet from the Sun
June 2011. Ardalan AA, Karimi R, Grafarend EW (2009). "A New Reference Equipotential Surface, and Reference Ellipsoid for the Planet Mars". Earth, Moon,
Mars
Type of graph
or sheet pile walls. As such, a grid obtained by drawing a series of equipotential lines is called a flow net. The flow net is an important tool in analysing
Flow_net
Characteristic property of holomorphic functions
the flow. The u = const {\textstyle u={\text{const}}} curves are the equipotential curves of the flow. A holomorphic function can therefore be visualized
Cauchy–Riemann_equations
Plane curve defined by an implicit equation
diagram, μ = 0.05 , … , 0.2 {\displaystyle \mu =0.05,\dotsc ,0.2} . Equipotential curves of two equal point charges at the points P 1 = ( 1 , 0 ) , P
Implicit_curve
Number, approximately 3.14
analytic functions can be visualized as a collection of streamlines and equipotentials, systems of curves intersecting at right angles. Here illustrated is
Pi
Cable used for electric power transmission at high voltage
concentrate at the end of the earth-conductor as shown in figure 8. Equipotential lines are shown here, which can be compared with the contour lines on
High-voltage_cable
geoid, a precise mathematical model of the Earth's sea level as an equipotential gravitational surface. Tom Lawton (1998). Walking Ireland. Internet
List of mountain peaks of the Wicklow Mountains
List_of_mountain_peaks_of_the_Wicklow_Mountains
Measure of vertical distance
Geodesists formalize mean sea level (MSL) by means of the geoid, the equipotential surface that best fits MSL. Then various types of height (normal, dynamic
Height
relatively flat and that the groundwater be hydrostatic (that is, that the equipotential lines are vertical): ∂ P ∂ z = − γ = − ρ g ∂ h ∂ z = 0 {\displaystyle
Dupuit–Forchheimer_assumption
Surface in 3D space defined by an implicit function of three variables
F_{i}(x,y,z)={\frac {q_{i}}{\|\mathbf {p} -\mathbf {p} _{i}\|}}.} The equipotential surface for the potential value c {\displaystyle c} is the implicit
Implicit_surface
region. Elevation is the vertical distance above the reference geoid, an equipotential gravitational surface model of the Earth's sea level. The summit of
List of elevation extremes by region
List_of_elevation_extremes_by_region
Shape formed in electrospraying
{\displaystyle V=V_{0}\,} (equipotential surface) exists at a value of θ 0 {\displaystyle \theta _{0}} (regardless of R) producing an equipotential cone. The angle
Taylor_cone
Enclosure of conductive mesh used to block electric fields
excess charges will be neutralized as the ground connection creates an equipotential bonding between the outside of the cage and the environment, so there
Faraday_cage
System of two stars orbiting each other
Configurations of a binary star system with a mass ratio of 3. The black lines represent the inner critical Roche equipotentials, the Roche lobes.
Binary_star
Ability of a body to store an electrical charge
electrons may be very small, so the resulting spatial distribution of equipotential surfaces within the device is exceedingly complex. The capacitance of
Capacitance
Theory that regions of the brain are specialized for functions
opposed to the anti-localizationist theories and brain holism and equipotentialism. Phrenology, created by Franz Joseph Gall (1758–1828) and Johann Gaspar
Functional specialization (brain)
Functional_specialization_(brain)
Phenomena related to electric charge
of equal potential (known as equipotentials) may be drawn around an electrostatically charged object. The equipotentials cross all lines of force at right
Electricity
Concept in differential geometry
TPMS have been observed as biological membranes, as block copolymers, equipotential surfaces in crystals etc. Their approximants have been used to model
Triply periodic minimal surface
Triply_periodic_minimal_surface
Electric field created by impact of solar wind onto the magnetosphere
the sum of both potentials has a torus-like inner region of closed equipotential shells, called the plasmasphere, in which ionized particles of thermal
Magnetospheric electric convection field
Magnetospheric_electric_convection_field
Arrangement that creates a quadrupole field of some sort
Contour plot of the equipotential surfaces of an electric quadrupole field
Quadrupole
Common gas atmosphere of a binary star system
rate as the embedded binary system; thus, it is not constrained by the equipotential surface passing through the L2 Lagrange point. In a contact-binary system
Common_envelope
Buoyancy principle in fluid dynamics
\,} Therefore, the shape of the open surface of a fluid equals the equipotential plane of the applied outer conservative force field. Let the z-axis
Archimedes'_principle
Test of relativistic time dilation
time dilation effects cancel out (assuming that Earth's surface is an equipotential one). The kinematic effect was verified in the 1938 Ives–Stilwell experiment
Hafele–Keating_experiment
Electromagnetic property of matter
Diagram showing field lines and equipotentials around an electron, a negatively charged particle. In an electrically neutral atom, the number of electrons
Electric_charge
Electrical grounding for safety or function
(such as the UK) TT is recommended for situations where a low impedance equipotential zone is impractical to maintain by bonding, where there is significant
Earthing_system
Outermost layer of a physical object
occurrences: Soap bubbles, which are physical examples of minimal surfaces Equipotential surface in, e.g., gravity fields Earth's surface Surface science, the
Surface
Periodic minimal surface
models for periodic nanostructures in block copolymers, electrostatic equipotential surfaces in crystals, and hypothetical negatively curved graphite phases
Schwarz_minimal_surface
Equilibrium points near two orbiting bodies
S2CID 12983980. Sepinsky, Jeremy F.; Willems, Bart; Kalogera, Vicky (May 2007). "Equipotential Surfaces and Lagrangian Points in Nonsynchronous, Eccentric Binary and
Lagrange_point
Delineation and characterization of Martian regions
Altimeter data led to a new convention of zero elevation defined as the equipotential surface (gravitational plus rotational) whose average value at the equator
Areography
Surface as an implicit equation
der Waals when defining a region of space where the electric charge equipotential surface had a definite value. Laplante, Philip A. (December 19, 2017)
Procedural_surface
Energy related to Earth's gravity
(sometimes abbreviated as geop), also known as geopotential level surfaces, equipotential surfaces, or simply level surfaces. Global mean sea surface is close
Geopotential
Line integral of the electric field
magenta (+), through yellow (0), to cyan (−). Circular contours are equipotential lines. Electric field lines leave the positive charge and enter the
Electric_potential
Crystalline form of carbon
present in the atmosphere. Those contaminants also alter the electric equipotential surface of graphite by creating domains with potential differences of
Graphite
two principles that Karl Lashley published in 1950, alongside the equipotentiality principle. In the 19th century, animal researchers and scientists were
Mass action principle (neuroscience)
Mass_action_principle_(neuroscience)
In mains electricity, part of a circuit connected to ground or earth
completely surrounds the phase conductor(s), and thicker than normal equipotential bonding must be considered to ensure the system is safe. In the United
Ground_and_neutral
Geodetic reference system
Observatory. (This is related to the fact that the perpendicular to the local equipotential surface of the gravity field at Greenwich does not point exactly through
World_Geodetic_System
Upward force that opposes the weight of an object immersed in fluid
\,} Therefore, the shape of the open surface of a fluid equals the equipotential plane of the applied outer conservative force field. Let the z-axis
Buoyancy
Geographical reference point from which various heights are measured
local mean sea level would coincide with this geoid surface, being an equipotential surface of the Earth's gravitational field which, in itself, does not
Sea_level
Foundational law of electromagnetism relating electric field and charge distributions
Laplace's equation. The electric field is perpendicular, locally, to the equipotential surface of the conductor, and zero inside; its flux πa2·E, by Gauss's
Gauss's_law
List of mountain ranges in Colorado, United States
reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface. The topographic prominence of a summit is the
List of mountain ranges of Colorado
List_of_mountain_ranges_of_Colorado
Velocity field as the gradient of a scalar function
and lines of constant φ are known as equipotential lines (see equipotential surface). Streamlines and equipotential lines are orthogonal to each other,
Potential_flow
separates a saturated soil mass from an unsaturated soil mass. It is not an equipotential line, but a flow line. For an earthen dam, the phreatic line approximately
Phreatic_line
Nuclear shell model
spin. The anisotropy of the potential is such that the length of an equipotential along the z is greater than the length on the transverse axes in the
Nilsson_model
Vertical datum for orthometric heights
variations in sea surface topography, i.e., that MSL is not the same equipotential surface at all tidal bench marks. North American Vertical Datum of 1988
North American Vertical Datum of 1988
North_American_Vertical_Datum_of_1988
Electrochemical process
electrical earthing system uses the pipework for its ground or has equipotential bonding. Metal boats connected to a shore line electrical power feed
Galvanic_corrosion
reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface. The topographic prominence of a summit is the
List of the highest major summits of Colorado
List_of_the_highest_major_summits_of_Colorado
Gravitational force exerted by the planet Mars
a planetary geoid that represents the gravitational and rotational equipotential figure of Mars, analogous to the concept of geoid ("sea level") on Earth
Gravity_of_Mars
Detail of the global positioning system
surface where the GPS receivers (and users) are. This is because Earth's equipotential makes net time dilation equal across its geodesic surface. That is,
Error analysis for the Global Positioning System
Error_analysis_for_the_Global_Positioning_System
Rise of voltage of local earth when a large current flows through an earth grid impedance
ground-potential gradients, including equipotential zones, insulating equipment, and restricted work areas. The creation of an equipotential zone will protect a worker
Earth_potential_rise
Lake under a glacier
is created when the ice is so much higher around the lake that the equipotential surface dips down into impermeable ground. Water from underneath this
Subglacial_lake
Study of the physical properties of the Earth's gravity field
move freely (e.g., through tunnels) under the land. Technically, an equipotential surface of the true geopotential, chosen to coincide (on average) with
Physical_geodesy
Device that controls current between electrodes
mains-frequency (50 or 60 Hz) hum into audio stages. The invention of the "equipotential cathode" reduced this problem, with the filaments being powered by a
Vacuum_tube
Limbs of cephalopod molluscs
for limb-specialization in an animal whose 8 arms were believed to be equipotential." The two rear appendages are generally used to walk on the sea floor
Cephalopod_limb
Field lines in a fluid flow
operation.[citation needed] Physics portal Drag coefficient Elementary flow Equipotential surface Flow visualization Flow velocity Scientific visualization Seeding
Streamlines, streaklines, and pathlines
Streamlines,_streaklines,_and_pathlines
Altitude above geoid or mean sea level
constant over large areas the orthometric height of a level surface (equipotential) other than the reference surface is not constant, and orthometric heights
Orthometric_height
Region of an electrical circuit between two components
resistance. Whether "node" refers to a single point of junction or an entire equipotential region varies by the source. "Node" is often used, especially in mesh
Node_(circuits)
Salt flat in Bolivia
(2008). "Modeling the topography of the salar de Uyuni, Bolivia, as an equipotential surface of Earth's gravity field". Journal of Geophysical Research:
Salar_de_Uyuni
may also be known as a Signal Reference Grid or Ground (SRG) or an Equipotential Ground. If installed correctly, it can maintain reference ground potential
Multipoint_ground
Directional derivative Divergence Divergence theorem Double integral Equipotential surface Euler's theorem on homogeneous functions Exterior derivative
List of multivariable calculus topics
List_of_multivariable_calculus_topics
Type of two-dimensional quasiparticle
undepleted electrons; the blue curves are the edge channels from the equipotentials of these undepleted electrons. The dark-grey curves are etched trenches
Anyon
Device for prevention of corona discharge on high-voltage equipment
connected to the high voltage terminal. Its smooth electric field equipotential lines reduce the potential gradient and thus the electric field along
Corona_ring
reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface. The topographic prominence of a summit is the
List of ultras of North America
List_of_ultras_of_North_America
Drainage of agricultural lands by wells
Map of a well field for subsurface drainage with radial flow across concentrical cylinders representing the equipotentials
Well_drainage
Definition in differential equations
elliptic coordinates) and appear in physics as electric fields and their equipotential curves. If the trajectory intersects the given curves by an arbitrary
Orthogonal_trajectory
When potential energy difference depends only on displacement
dV(\mathbf {r} ').} Gradient theorem Fundamental theorem of vector analysis Equipotential (isopotential) lines and surfaces The second part of this equation is
Scalar_potential
Topics referred to by the same term
energy Doctrine of parity, agricultural price controls Military parity, equipotential readiness between foes, without gaps such as a missile gap Special cases
Parity
Joint American-German space mission to map Earth's gravitational field
of geodesy. This improved model has allowed for corrections in the equipotential surface from which land elevations are referenced. This more accurate
GRACE_and_GRACE-FO
Electrohydrodynamic aircraft propulsion
is typically 1 mm / kV. The collector is shaped to provide a smooth equipotential surface underneath the corona wire. Variations of this include a wire
Ion-propelled_aircraft
reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface. The topographic prominence of a summit is the
List of ultras of the Caribbean
List_of_ultras_of_the_Caribbean
Earth, and possibly Titan. On other planets, peak elevations above an equipotential surface or a reference ellipsoid could be used if enough data is available
List of tallest mountains in the Solar System
List_of_tallest_mountains_in_the_Solar_System
International standard
WEA Earthing rail W WE WEB Earthing cable W WE WEC Equipotential bonding rail W WE WED Equipotential bonding cable W WG Electric signal guiding object
IEC_81346
Calculation technique for classical electrostatics
the xy-plane. To simplify this problem, we may replace the plate of equipotential with a charge −q, located at ( 0 , 0 , − a ) {\displaystyle (0,0,-a)}
Method_of_image_charges
Work by James Clerk Maxwell (1881)
He continues, "I have therefore drawn several diagrams of systems of equipotential surfaces and lines of force, so that the student may make himself familiar
An Elementary Treatise on Electricity
An_Elementary_Treatise_on_Electricity
Fluid surface of constant density
surfaces will occur in fluids in hydrostatic equilibrium coinciding with equipotential surfaces formed by gravity. The term "isopycnic" is also encountered
Isopycnic
Unit of gravitational gradient
three perpendicular directions is 0. Near the surface of earth, the equipotential surface is nearly spherical, following the near-spherical shape of earth
Eotvos_(unit)
Class of quartic plane curves
image depicting the Cassini ovals and the hyperbolas looks like the equipotential curves of two equal point charges together with the lines of the generated
Cassini_oval
Irish electric utility
must be bonded i.e. connected to the system's earth/ground creating an equipotential zone. In such an installation earth straps and yellow and green earth
ESB_Group
Conic sections with the same foci
exist ellipsoidal coordinates. In physics confocal ellipsoids appear as equipotential surfaces of a charged ellipsoid. Ivory's theorem (or Ivory's lemma)
Confocal_conic_sections
bonding by the term "protective equipotential bonding"; this does not mean that the bonding guarantees perfect equipotentiality, but just that it reduces the
Electrical wiring in the United Kingdom
Electrical_wiring_in_the_United_Kingdom
Topics referred to by the same term
emergency measures in case of an incident with off-site contamination Equipotential zone, an area of equal potential to protect workers on electrical equipment
EPZ
Apparatus that employs electricity to disperse a liquid into fine aerosol
{\displaystyle V=V_{0}\,} (equipotential surface) exists at a value of θ 0 {\displaystyle \theta _{0}} (regardless of R) producing an equipotential cone. The angle
Electrospray
Electrical safety device that provides overcurrent protection
(RCDs) for sockets that could feasibly supply equipment outside the equipotential zone. The design does not allow for fitting of RCDs or RCBOs. Some Wylex
Fuse_(electrical)
response to growing evidence against the behaviourist assumption of equipotentiality, the view that the same principles of learning and conditioning apply
Preparedness_(learning)
Type of natural water upwelling
the other set of lines are in the direction of constant total head (equipotential lines). Flownets may be used to estimate the quantity of seepage under
Seepage
Representation of electrostatic potential in space
isopotential maps show where another charged molecule might interact, using equipotential lines (isopotentials). Medvegy, Mihály; Préda, István; Savard, Pierre;
Isopotential_map
Inclinometer for measuring small tilts
sensitivity and immunity from temperature perturbations is to use the equipotential surface defined by water in a buried half-filled water pipe. This was
Tiltmeter
Moon of Saturn
smoothness and excellent ellipsoidal fits suggest that it has developed an equipotential surface, and this may be composed largely of an icy fluff, a material
Methone_(moon)
Study of biological and neural mechanisma in behaviour
about localization of function or functional specialization versus equipotentiality which played a significant role in the development in behavioral neuroscience
Behavioral_neuroscience
Noninvasive type of medical imaging
currents are applied to some or all of the electrodes, the resulting equipotentials being recorded from the other electrodes. This process will then be
Electrical impedance tomography
Electrical_impedance_tomography
Astronomical object capable of nuclear fusion
understood to mean "whose surface is very nearly on the gravitational equipotential", and orbits to mean "whose primary orbit is now, or was in the past
Fusor_(astronomy)
1935–1962 geodetic survey of Great Britain
the survey. Neither the solid form of the Earth, nor the geoid (an equipotential surface of Earth's gravity field, comparable to the imaginary surface
Retriangulation of Great Britain
Retriangulation_of_Great_Britain
EQUIPOTENTIAL
EQUIPOTENTIAL
EQUIPOTENTIAL
EQUIPOTENTIAL
Girl/Female
Hindu
Female
English
English pet form of Greek Lalage, LALLIE means "to babble."Â
Boy/Male
Muslim/Islamic
Correct path Straight path
Boy/Male
Hindu, Indian, Modern
Synonyms
Biblical
the well of an oath; the seventh well
Girl/Female
Greek American Irish Scottish English Latin
From the Greek word meaning 'carrier of Christ', Famous bearer: St Christopher, patron Saint of...
Boy/Male
English
From the clay brook.
Boy/Male
Bengali, Hindu, Indian
The Enlightened
Boy/Male
Muslim/Islamic
A scholar had this name
Male
Irish
Irish Gaelic form of Old Norse SumarlÃðr, SOMHAIRLE means "summer traveler."
EQUIPOTENTIAL
EQUIPOTENTIAL
EQUIPOTENTIAL
EQUIPOTENTIAL
EQUIPOTENTIAL
a.
Having the same potential.