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Gauss s law

In Eq. (14.16), the sign of the right hand side equals that of the applied bias. The total charge in the semiconductor, Qt, is related to the electric field at the insula-tor-semiconductor interface, F according to Gauss s law ... [Pg.559]

Furthermore, to the extent that the entire solid electrolyte cell under consideration is overall neutral, i.e. carries no net charge, one can show using Gauss s law of electrostatics, that the constant C in Eq. (5.27) is zero, i.e. that ... [Pg.216]

Since Bis via Gauss s Law of electrodynamics proportional to the local excess free charge it follows that the term fjeV VGj is proportional to the net charge stored in the metal in region G. This net charge, however, was shown above to be zero, due to the electroneutrality of the backspillover-formed effective double layer at the metal/gas interface and thus Dfje w.Gj must also vanish. Consequently Eq. (5.47) takes the same form with Eq. (5.19) where, now, O stands for the average surface work function. The same holds for Eq. (5.18). [Pg.222]

Gaussian probability, linear thermodynamics quadratic expansion, 12-13 regression theorem, 17-20 Gaussian-type orbitals (GTOs), 257-258 Gauss s law, diatomic molecules, internal electric field computations, 249-250... [Pg.280]

An electric field is generated in the depletion region due to ionized donors and a gradient in electron concentration. From Gauss s law we find... [Pg.138]

Two important quantities that it would be interesting to know are the total diffuse charge in the solution, qd, and how the potential varies with distance. According to Gauss s law from electrostatics, the charge contained within a closed volume (Gaussian box) is equal to ee0 times the area of the closed surface (taken here as unit ) times the component of the field normal to the surface of the enclosed volume... [Pg.162]

Gauss s law states that if an imaginary enclosed surface of area S is drawn around a uniform density of charge, the component of the electric field at the surface, which is perpendicular to the surface, is proportional to the total charge enclosed. Hence, Gauss s law is expressed as... [Pg.112]

Let d be the thickness of a monolayer and n the total number of layers (that is, the thickness of the film divided by d). The layers are numbered starting from the insulator-semiconductor interface. To estimate the density n (per unit area) of charge-carriers in the ith layer we apply Gauss s law to a cylinder of unit cross section limited by the boundaries between the ith layer and each of its neighboring layers. For a long channel device, the electric field F is perpendicular to the film, and we have ... [Pg.13]

This is incompatible with Maxwell s equations, as shown below by using Gauss s law, Eq. (2.7.16), and the Lorentz force, Eq. (2.7.24). Assume that the two systems S and S move at velocities v and v and relative velocity V= v — v. If we use the Galileian transformation and assume that the charge q and the electric displacement D is the same in the two systems ... [Pg.71]

Tli e assiunp tion of a constant elec trie field in th e membrane is a ctuall y no t essential for ob taining Equation 3.20 we could invoke Gauss s law and perform a more difficult integration. See Goldman (1943) for a consideration of the constant field situation in a general case. [Pg.125]

Gauss s law of electrostatics states that the field exerted at a point external to a spherical charge distribution is equal to that which would be obtained if... [Pg.319]

Under the assumption that there are no surface states or specific adsorption of charged species, the space charge hi a semiconductor in contact with an electrolyte is balanced by the charge in the diffuse part of the double layer thus, (]sc = cfd- Gauss s law can therefore be used to provide a boimdary condition for the electric field at the surface of the semiconductor as... [Pg.227]

At the surface where Vs. the factor e.x -eVJkT) is negligible for a reasonable value of Vs. From Gauss s law we have... [Pg.11]

Equations (2) and (12) may be combined and re-expressed, using Gauss s law, as a partial differential equation, the Poisson Equation... [Pg.214]

This theorem is reminiscent of Gauss s law in electrostatics, namely that the electric flux through a surface is proportional to the total charge enclosed. See Exercise 6.8.12 for a further exploration of this analogy between index and charge. [Pg.180]


See other pages where Gauss s law is mentioned: [Pg.826]    [Pg.132]    [Pg.110]    [Pg.180]    [Pg.591]    [Pg.21]    [Pg.28]    [Pg.112]    [Pg.115]    [Pg.161]    [Pg.53]    [Pg.72]    [Pg.141]    [Pg.53]    [Pg.54]    [Pg.58]    [Pg.300]    [Pg.110]    [Pg.598]    [Pg.344]    [Pg.344]    [Pg.109]    [Pg.112]    [Pg.441]    [Pg.318]    [Pg.319]    [Pg.213]    [Pg.54]   
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