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Elementary Charge

Published: 2014/05/19

Channel: Bozeman Science

Physics 12.2.2a - Elementary Charge

Published: 2009/04/05

Channel: Derek Owens

Know Your Constant: Elementary Charge

Published: 2014/12/26

Channel: Because We Can- The Channel

AP Physics 1 & 2: Static Electricity 3: Elementary Charge and Coulomb's Law

Published: 2013/01/12

Channel: Yau-Jong Twu

Millikan's oil drop experiment to determine charge of an electron - Chemistry

Published: 2012/11/26

Channel: Elearnin

Elementary charge

Published: 2014/10/17

Channel: Audiopedia

Charge of an Electron: Millikan's Oil Drop Experiment

Published: 2012/12/05

Channel: Tyler DeWitt

Elementary charge

Published: 2016/01/22

Channel: WikiAudio

Elementary Charge

Published: 2017/03/29

Channel: Simplex Sensus - Topic

Quantisation of electric charge | Basic properties of electric charge

Published: 2016/04/22

Channel: VIS

AP Physics 2:Modern 2: Elementary Charge Measured: Millikan's Oil-Drop Experiment

Published: 2013/03/23

Channel: Yau-Jong Twu

Atomic Charges, Element Charges & Complete Chemical Symbol

Published: 2012/10/04

Channel: sciencepost

Physics 12.2.2a - Elementary Charge.mp4

Published: 2011/05/11

Channel: Khoja Farhad

Electric Charge: Crash Course Physics #25

Published: 2016/09/29

Channel: CrashCourse

Millikan's Oil Drop Experiment: the Charge of an Electron

Published: 2011/05/18

Channel: Ben's Chem Videos

Millikan Oil Drop Chemistry Experiment - Determining the Electron Charge

Published: 2015/05/06

Channel: Historia - Bel99TV

Elementary charge

Published: 2017/07/16

Channel: Physics Channel

Charge Quantization

Published: 2012/01/24

Channel: Hchs Physics

What is ELECTRIC CHARGE? What does ELECTRIC CHARGE mean? ELECTRIC CHARGE meaning & explanation

Published: 2016/07/19

Channel: The Audiopedia

Elementary School Kid PhoneTap Food Charge. Z100 Elvis Duran

Published: 2015/10/16

Channel: MadouS Pranks

akRa.TV – Odd City #7 – Elementary Charge

Published: 2017/07/23

Channel: PMProom

Elementary Charge, an original song made on an iPad using MusicStudio Lite and an acoustic guitar

Published: 2013/02/17

Channel: Kc Sharp

52 E Charge Mode v2

Published: 2015/05/18

Channel: Porsche iManual

Physics Regents June2012 #04 - The Elementary Charge

Published: 2012/08/21

Channel: Dan Molloy

Electric Charge | video in HINDI | EduPoint

Published: 2017/03/14

Channel: EduPoint

Counting Electrical Charges in Motion 1961 PSSC; James Strickland

Published: 2017/07/19

Channel: Jeff Quitney

Shoreview Elementary 2015 Habit 1 BE PROACTIVE You're in Charge

Published: 2015/09/28

Channel: Stephanie Boka

18-5: Coulomb vs Charge of an Electron

Published: 2016/03/01

Channel: Richard Wong

Charge on an Electron by Millikan's Method

Published: 2016/11/21

Channel: Sabaq. Pk

Robert Millikan's Oil Drop Experiment - The Charge of an Electron

Published: 2012/11/05

Channel: Ben's Chem Videos

AP Physics 1: Electrostatics Review

Published: 2015/04/13

Channel: Flipping Physics

More on Charge on an Electron by Millikan's Method

Published: 2016/11/21

Channel: Sabaq. Pk

Charge Quantization And Conservation part -1/1

Published: 2017/02/04

Channel: VIKRAM SINGH PHYSICS

Charge Quantization And Conservation part -2/1

Published: 2017/02/04

Channel: VIKRAM SINGH PHYSICS

Physics Notes : Electric Charge and its Properties | HINDI

Published: 2017/05/04

Channel: EduPoint

Charge on an Electron by Millikan's Oil Drop Method explained in Urdu

Published: 2016/10/06

Channel: Sabaq Foundation

Finding the Charge of an Electron - #breakthroughjuniorchallenge 2016

Published: 2016/10/06

Channel: Rayyan Khan

Elementary Penguins - Dancing On Your Rooftop (Official Video)

Published: 2017/02/10

Channel: Elementary Penguins

Introduction to Charge

Published: 2014/12/30

Channel: Justin Babcock

Playin With Fire E-Charge test

Published: 2014/07/25

Channel: Aksrockets

Electric Field on Axis of a Ring of Charge | video in HINDI | EduPoint

Published: 2017/03/21

Channel: EduPoint

What is an Electron, Charge on Electron & Dalton's Atomic Theory - Cathode Ray Discharge Tube I

Published: 2016/06/13

Channel: Avanti Gurukul

8B charge quantization

Published: 2016/03/21

Channel: Ian Freedman

Properties of Electric Charge | video in HINDI

Published: 2017/04/02

Channel: EduPoint

DISCOVERY OF PROTONS AND NEUTRONS

Published: 2016/04/11

Channel: 7activestudio

Electricity and Electronics: "Charged Bodies" 1974 US Air Force Training Film

Published: 2015/08/15

Channel: Jeff Quitney

Physics: "The Millikan Experiment" 1959 PSSC; Alfred Redfield, IBM; Francis Friedman, MIT

Published: 2017/05/28

Channel: Jeff Quitney

Police charge woman armed with toy gun near Bel-Air Elementary School

Published: 2015/05/01

Channel: KRQE

Millikan's Oil Drop Experiment| Charge of an electron| Discovery of Proton| Cathode Ray Experiment

Published: 2016/07/22

Channel: Avanti Gurukul

E Charge Commercial

Published: 2016/06/24

Channel: Christina Epps

From Wikipedia, the free encyclopedia

Elementary electric charge | |
---|---|

Definition: | Charge of a proton |

Symbol | e or sometimes q |

Value in coulombs: | 1766208(98)×10^{−19} C 1.602^{[1]} |

The **elementary charge**, usually denoted as * e* or sometimes

The magnitude of the elementary charge was first measured in Robert A. Millikan's noted oil drop experiment in 1909.^{[4]}

Elementary charge (as a unit of charge) | |
---|---|

Unit system | Atomic units |

Unit of | electric charge |

Symbol | e or q |

Unit conversions | |

1 e or q in ... |
... is equal to ... |

coulomb | 1766208(98)×10^{−19} 1.602^{[1]} |

statcoulomb | 20425(10)×10^{−10} 4.803 |

HEP: √(ℏc) | 0.30282212088 |

In some natural unit systems, such as the system of atomic units, *e* functions as the unit of electric charge, that is *e* is equal to 1 e in those unit systems. The use of elementary charge as a unit was promoted by George Johnstone Stoney in 1874 for the first system of natural units, called Stoney units.^{[5]} Later, he proposed the name *electron* for this unit. At the time, the particle we now call the electron was not yet discovered and the difference between the particle *electron* and the unit of charge *electron* was still blurred. Later, the name *electron* was assigned to the particle and the unit of charge *e* lost its name. However, the unit of energy electronvolt reminds us that the elementary charge was once called *electron*.

The maximum capacity of each pixel in a charge-coupled device image sensor, known as the *well depth*, is typically given in units of electrons,^{[6]} commonly around 10^{5}

e−

per pixel.

*Charge quantization* is the principle that the charge of any object is an integer multiple of the elementary charge. Thus, an object's charge can be exactly 0 *e*, or exactly 1 *e*, −1 *e*, 2 *e*, etc., but not, say, ^{1}⁄_{2} *e*, or −3.8 *e*, etc. (There may be exceptions to this statement, depending on how "object" is defined; see below.)

This is the reason for the terminology "elementary charge": it is meant to imply that it is an indivisible unit of charge.

There are two known sorts of exceptions to the indivisibility of the elementary charge: quarks and quasiparticles.

- Quarks, first posited in the 1960s, have quantized charge, but the charge is quantized into multiples of
^{1}⁄_{3}*e*. However, quarks cannot be seen as isolated particles; they exist only in groupings, and stable groupings of quarks (such as a proton, which consists of three quarks) all have charges that are integer multiples of*e*. For this reason, either 1*e*or^{1}⁄_{3}*e*can be justifiably considered to be "the quantum of charge", depending on the context. This charge commensurability, "charge quantization", has partially motivated Grand unified Theories. - Quasiparticles are not particles as such, but rather an emergent entity in a complex material system that behaves like a particle. In 1982 Robert Laughlin explained the fractional quantum Hall effect by postulating the existence of fractionally-charged quasiparticles. This theory is now widely accepted, but this is not considered to be a violation of the principle of charge quantization, since quasiparticles are not elementary particles.

All known elementary particles, including quarks, have charges that are integer multiples of ^{1}⁄_{3} *e*. Therefore, one can say that the "quantum of charge" is ^{1}⁄_{3} *e*. In this case, one says that the "elementary charge" is three times as large as the "quantum of charge".

On the other hand, all *isolatable* particles have charges that are integer multiples of *e*. (Quarks cannot be isolated: they only exist in collective states like protons that have total charges that are integer multiples of *e*.) Therefore, one can say that the "quantum of charge" is *e*, with the proviso that quarks are not to be included. In this case, "elementary charge" would be synonymous with the "quantum of charge".

In fact, both terminologies are used.^{[7]} For this reason, phrases like "the quantum of charge" or "the indivisible unit of charge" can be ambiguous, unless further specification is given. On the other hand, the term "elementary charge" is unambiguous: it universally refers to a quantity of charge equal to that of a proton.

If the Avogadro constant *N*_{A} and the Faraday constant *F* are independently known, the value of the elementary charge can be deduced, using the formula

(In other words, the charge of one mole of electrons, divided by the number of electrons in a mole, equals the charge of a single electron.)

In practice, this method is *not* how the *most accurate* values are measured today: Nevertheless, it is a legitimate and still quite accurate method, and experimental methodologies are described below:

The value of the Avogadro constant *N*_{A} was first approximated by Johann Josef Loschmidt who, in 1865, estimated the average diameter of the molecules in air by a method that is equivalent to calculating the number of particles in a given volume of gas.^{[8]} Today the value of *N*_{A} can be measured at very high accuracy by taking an extremely pure crystal (in practice, often silicon), measuring how far apart the atoms are spaced using X-ray diffraction or another method, and accurately measuring the density of the crystal. From this information, one can deduce the mass (*m*) of a single atom; and since the molar mass (*M*) is known, the number of atoms in a mole can be calculated: *N*_{A} = *M*/*m*.^{[9]}

The value of *F* can be measured directly using Faraday's laws of electrolysis. Faraday's laws of electrolysis are quantitative relationships based on the electrochemical researches published by Michael Faraday in 1834.^{[10]} In an electrolysis experiment, there is a one-to-one correspondence between the electrons passing through the anode-to-cathode wire and the ions that plate onto or off of the anode or cathode. Measuring the mass change of the anode or cathode, and the total charge passing through the wire (which can be measured as the time-integral of electric current), and also taking into account the molar mass of the ions, one can deduce *F*.^{[9]}

The limit to the precision of the method is the measurement of *F*: the best experimental value has a relative uncertainty of 1.6 ppm, about thirty times higher than other modern methods of measuring or calculating the elementary charge.^{[9]}^{[11]}

A famous method for measuring *e* is Millikan's oil-drop experiment. A small drop of oil in an electric field would move at a rate that balanced the forces of gravity, viscosity (of traveling through the air), and electric force. The forces due to gravity and viscosity could be calculated based on the size and velocity of the oil drop, so electric force could be deduced. Since electric force, in turn, is the product of the electric charge and the known electric field, the electric charge of the oil drop could be accurately computed. By measuring the charges of many different oil drops, it can be seen that the charges are all integer multiples of a single small charge, namely *e*.

The necessity of measuring the size of the oil droplets can be eliminated by using tiny plastic spheres of a uniform size. The force due to viscosity can be eliminated by adjusting the strength of the electric field so that the sphere hovers motionless.

Any electric current will be associated with noise from a variety of sources, one of which is shot noise. Shot noise exists because a current is not a smooth continual flow; instead, a current is made up of discrete electrons that pass by one at a time. By carefully analyzing the noise of a current, the charge of an electron can be calculated. This method, first proposed by Walter H. Schottky, can give only a value of *e* accurate to a few percent.^{[12]} However, it was used in the first direct observation of Laughlin quasiparticles, implicated in the fractional quantum Hall effect.^{[13]}

Another accurate method for measuring the elementary charge is by inferring it from measurements of two effects in quantum mechanics: The Josephson effect, voltage oscillations that arise in certain superconducting structures; and the quantum Hall effect, a quantum effect of electrons at low temperatures, strong magnetic fields, and confinement into two dimensions. The Josephson constant is

(where *h* is the Planck constant). It can be measured directly using the Josephson effect.

The von Klitzing constant is

It can be measured directly using the quantum Hall effect.

From these two constants, the elementary charge can be deduced:

In the most recent CODATA adjustments,^{[9]} the elementary charge is not an independently defined quantity.^{[citation needed]} Instead, a value is derived from the relation

where *h* is the Planck constant, *α* is the fine-structure constant, *μ*_{0} is the magnetic constant, *ε*_{0} is the electric constant and *c* is the speed of light. The uncertainty in the value of *e* is currently determined almost entirely by the uncertainty in the Planck constant.

The most precise values of the Planck constant come from watt balance experiments, which are used to measure the product *K*2

J*R*_{K}. The most precise values of the fine structure constant come from comparisons of the measured and calculated value of the gyromagnetic ratio of the electron.^{[9]}

- ^
^{a}^{b}^{c}"CODATA Value: elementary charge".*The NIST Reference on Constants, Units, and Uncertainty*. US National Institute of Standards and Technology. June 2015. Retrieved 2015-09-22.2014 CODATA recommended values

**^**Note that the symbol*e*has many other meanings. Somewhat confusingly, in atomic physics,*e*sometimes denotes the electron charge, i.e. the*negative*of the elementary charge.**^**This is derived from the NIST value and uncertainty, using the fact that one coulomb is*exactly*997924580 statcoulombs. (The conversion is ten times the numerical 2speed of light in meters/second.)**^**Robert Millikan: The Oil-Drop Experiment**^**G. J. Stoney (1894). "Of the "Electron," or Atom of Electricity".*Philosophical Magazine*. 5.**38**: 418–420. doi:10.1080/14786449408620653.**^**Apogee CCD University – Pixel Binning**^***Q is for Quantum*, by John R. Gribbin, Mary Gribbin, Jonathan Gribbin, page 296, Web link**^**Loschmidt, J. (1865). "Zur Grösse der Luftmoleküle".*Sitzungsberichte der kaiserlichen Akademie der Wissenschaften Wien*.**52**(2): 395–413. English translation Archived February 7, 2006, at the Wayback Machine..- ^
^{a}^{b}^{c}^{d}^{e}Mohr, Peter J.; Taylor, Barry N.; Newell, David B. (2008). "CODATA Recommended Values of the Fundamental Physical Constants: 2006".*Reviews of Modern Physics*.**80**(2): 633–730. Bibcode:2008RvMP...80..633M. arXiv:0801.0028 . doi:10.1103/RevModPhys.80.633. Direct link to value.. **^**Ehl, Rosemary Gene; Ihde, Aaron (1954). "Faraday's Electrochemical Laws and the Determination of Equivalent Weights".*Journal of Chemical Education*.**31**(May): 226–232. Bibcode:1954JChEd..31..226E. doi:10.1021/ed031p226.**^**Mohr, Peter J.; Taylor, Barry N. (1999). "CODATA recommended values of the fundamental physical constants: 1998".*Journal of Physical and Chemical Reference Data*.**28**(6): 1713–1852. doi:10.1103/RevModPhys.72.351..**^**Beenakker, Carlo; Schönenberger, Christian. "Quantum Shot Noise. Fluctuations in the flow of electrons signal the transition from particle to wave behavior". arXiv:cond-mat/0605025 ..**^**de-Picciotto, R.; Reznikov, M.; Heiblum, M.; Umansky, V.; Bunin, G.; Mahalu, D. (1997). "Direct observation of a fractional charge".*Nature*.**389**(162–164): 162. Bibcode:1997Natur.389..162D. doi:10.1038/38241..

*Fundamentals of Physics*, 7th Ed., Halliday, Robert Resnick, and Jearl Walker. Wiley, 2005

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