Charge conservation and Maxwell's equations

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Difference between Charge conservation and Maxwell's equations

Charge conservation vs. Maxwell's equations

In physics, charge conservation is the principle that the total electric charge in an isolated system never changes. Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.

Charge density

In electromagnetism, charge density is a measure of the amount of electric charge per unit length, surface area, or volume.

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Classical electromagnetism

Classical electromagnetism or classical electrodynamics is a branch of theoretical physics that studies the interactions between electric charges and currents using an extension of the classical Newtonian model.

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Current density

In electromagnetism, current density is the electric current per unit area of cross section.

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Divergence

In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.

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Divergence theorem

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.

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Electric charge

Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.

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Electric potential

An electric potential (also called the electric field potential, potential drop or the electrostatic potential) is the amount of work needed to move a unit positive charge from a reference point to a specific point inside the field without producing any acceleration.

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Electron

The electron is a subatomic particle, symbol or, whose electric charge is negative one elementary charge.

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Elementary charge

The elementary charge, usually denoted as or sometimes, is the electric charge carried by a single proton, or equivalently, the magnitude of the electric charge carried by a single electron, which has charge.

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Gauge theory

In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.

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Normal (geometry)

In geometry, a normal is an object such as a line or vector that is perpendicular to a given object.

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Phase (waves)

Phase is the position of a point in time (an instant) on a waveform cycle.

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Photon

The photon is a type of elementary particle, the quantum of the electromagnetic field including electromagnetic radiation such as light, and the force carrier for the electromagnetic force (even when static via virtual particles).

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Vector calculus

Vector calculus, or vector analysis, is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space \mathbb^3.

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Vector potential

In vector calculus, a vector potential is a vector field whose curl is a given vector field.

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