Law of conservation of charge

Physical terms
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In physics, Law of conservation of charge (law of conservation of electric charge) conservation law There are two versions of charge conservation law, "weak version of charge conservation law" (also called "global charge conservation law") and "strong version of charge conservation law" (also called "local charge conservation law"). The weak version of the law of conservation of charge shows that the total charge of the entire universe remains unchanged and will not change with time. Note that this law does not prohibit the sudden disappearance of an electric charge at this end of the universe, but the sudden appearance of an electric charge at that end of the universe. The strong version of the law of conservation of charge explicitly prohibits this possibility. The strong version of the law of conservation of charge shows that the change of the amount of charge in an arbitrary space area is equal to the amount of charge flowing into the area minus the amount of charge flowing out of the area.
Chinese name
Law of conservation of charge
Foreign name
law of charge conservation
Alias
Law of conservation of electric quantity
Applicable fields
electromagnetics
Applied discipline
electromagnetics
Scope of use
electrostatic field
Related terms
Charge conservation

history

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American scientists and politicians Franklin Communication with friends in 1747:
Here and in Europe, scientists have found and confirmed that electric fire is a real element or material type, not generated by friction, but can only be obtained from collection.
——Benjamin Franklin [1]
The academic community credits Franklin as the founder of this law. "Franklin's law of conservation of charge" indicates that in any insulation system, the total charge is constant. [2]

concept

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The law of conservation of charge is physical Fundamental law one of. It points out that for an isolated system, the algebraic sum of all charges in it will remain unchanged no matter what happens. The law of charge conservation shows that if the charge in a certain area increases or decreases, then there must be an equal amount of charge entering or leaving the area; If a certain charge is generated or disappeared in a physical process, there must be an equal amount of different sign charges generated or disappeared at the same time.
The amount of charge is called the quantity of charge, often referred to as the quantity of electricity, so the law of conservation of charge is also called the law of conservation of electricity. stay International System of Units The unit of electric charge is coulomb, which is represented by the letter Q, and the unit is C. Generally, the amount of positive charge is expressed as a positive number, while the amount of negative charge is expressed as a negative number.

principle

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The law of conservation is based on a fundamental principle, namely charge Can not be generated and annihilated alone. If the positively charged particle contacts the negatively charged particle, and the two particles have the same electric quantity, then because of this contact action, the two particles will become neutral, and this physical behavior is reasonable and allowed. One neutron , can also generate positively charged proton , negatively charged Electronics Neutral Antineutrino However, any particle cannot change the amount of charge alone. Physics explicitly prohibits such physical behavior. More specifically, subatomic particles such as electrons and protons will carry electric charges, and these subatomic particles can be generated or annihilated. In particle physics, the conservation of charge means that the total charge will not change before and after the reaction, although there will be positively charged particles or negatively charged particles in the reactions of basic particles generating charged particles; Similarly, in those elementary particle reactions that annihilate charged particles, although there will be annihilation of positively charged particles or negatively charged particles, the total charge will never change before and after the reaction.

Electromagnetism

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Flow into a volume
Net current of
Among them,
Is the current,
Is the current density,
Is the surrounding volume
Closed surface of,
Is a micro face vector element, perpendicular to
Point out from the inside out of the volume.
application Divergence theorem , write this equation as
Total charge
And volume
Charge density inside
The relationship of is
Charge conservation requirements, inflow volume
Net current, equal to volume
Variation rate of total internal charge Q:
So,
For any volume
All the above equations are true. Therefore, the integrand can be extracted:
The charge conservation equation is also called the charge continuity equation.
In the mid-19th century, James Clerk Maxwell find Ampere's law (Original form) cannot meet the requirements of charge conservation. Therefore, he revised the equation of Ampere's law to Maxwell Ampere equation. Because of this action, Maxwell found that Maxwell's equations , can be used to describe electromagnetic wave And derive electromagnetic waves to light speed Spread on free space Therefore, he correctly concluded that light wave It is an electromagnetic wave. For more details, see the entry Maxwell's equations
Indeed, Maxwell's equations have summarized the charge conservation equation. Consider Maxwell Ampere equation,
Where B is magnetic field
yes Magnetic constant
Is the electrical constant, E is electric field
Take the divergence
application Gauss law
Therefore, the conservation of charge holds,

attribute

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To make the object charged, use Friction electrification Contact electrification Electrostatic induction 、( Induction electrification )、 photoelectric effect Etc. Whether the object is charged, usually available Electroscope To test. The electrification of objects is actually the result of gaining or losing electrons. This means that the charge cannot leave the electron proton But exists. The charge is an electron, a proton, etc microcosmic An attribute of a particle.
A large number of experimental facts from friction electrification and other electrification processes show that all electrification processes are actually the process of separating or transferring positive and negative charges on objects. In this process, charges can neither be eliminated nor created, but can only redistribute the original charges. From this, we can conclude the law of charge conservation: the total charge of an isolated system (that is, the algebraic sum of all positive and negative charges in the system) remains unchanged in any physical process. The so-called isolated system refers to a system that has no interaction with the outside world and is an ideal state. The law of conservation of charge is also a basic law of conservation in nature microcosmic It is generally applicable in the field.
Modern physics experiments have found that charged particles can be generated and annihilated under certain conditions. For example, a High-energy photon Under certain conditions, it can produce a positive electron and a negative electron; A pair of positive and negative electrons can annihilate at the same time and convert into photons. However, in these cases, charged particles are always produced and annihilated in pairs. The number of charged particles is equal but the positive and negative are opposite, while the photon is not charged, so the algebraic sum of charges remains unchanged. Therefore, in a system without charge exchange with the outside world, the algebraic sum of charges remains unchanged. It is one of the important basic laws of nature.

Electrostatics

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stay Electrostatics Li, potential It is relative, not absolute. Assume that the potential in three-dimensional space is
, now add a constant c to the potential, and change it to
, the electric field will not change, and this property is called Gauge invariance Because of this nature, the potential at a certain reference position must be set first, and the potential at other positions can have real physical significance. Therefore, each equation only involves the relative potential, not the absolute potential.
Charge conservation and Gauge invariance Closely related. You can use one Thought experiment To discuss. Suppose that some process can destroy the conservation of charge (if it cannot be destroyed permanently, it can be destroyed temporarily at least). This process will generate a potential of
Somewhere on
Generate a charge q, and then transfer this charge to a potential of
Location of
And finally annihilate the charge. It is noted that this process does not break the global charge conservation law, but only the local charge conservation law. [3]
It is specified that at any position, the energy W needs to be input to generate the charge, and the energy W will be released when the charge is annihilated. Since the position where the charge is generated or annihilated is arbitrary, W is not related to the relative potential. W is not related to the absolute potential. Then, the whole process will make the system obtain energy
However, doing so would violate the conservation of energy. In order to observe the conservation of energy, local charge conservation must be required. Therefore, due to gauge invariance, the law of conservation of charge holds.

Experimental evidence

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If the charge is not always conserved, particles may occur decay The best experimental method to test the conservation of charge is to find the decay of these particles. So far, physicists have not found any such decay. For example, for electron decay neutrino Physicians try to detect the high-energy photons generated by the reaction with photons: [4]
average life span More than 4.6 × 10 years (90% confidence level )。
However, some theories suggest that even if the charge is not always conserved, this decay reaction that generates high-energy photons will never occur. Of course, there are also experiments that try to detect the decay that does not produce high-energy photons, or some more unusual charge destruction processes, for example, electrons may spontaneously become positron , electronic migration into other dimensions. The best experimental value limit is
Any particle
The average life is more than 6.4 × 10 years (68%) confidence level
For all neutron decay events, the occurrence rate of charge nonconservative decay is less than 8 × 10 (68% confidence level