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1. Extend the theory of Section 9.1 to include the difference in dielectric constant between GaAs and AlGaAs, by matching Dz at the heterojunctions rather than Ez. Is the difference likely to be significant in practice?
2. The composition of the structure used in Figure 9.1 was given in Section 9.1. Estimate analytically its threshold voltage and, using equation (9.14), the density of electrons at equilibrium and with VG= +0.2 V, which can be compared with 3.0 x 1015m-2 from the numerical simulation. What fraction of the electrons from the donors goes to the 2DEG, and what density of surface states is needed to keep the Fermi level pinned? What would happen if the doping were in error by ±20%? (This is only too common!)
A hollow spherical shell (radius R) carries a surface potential V(r=R, teta, Phil) = kcos(Squared) teta, sine teta. Find the potential inside and outside of the cylinder, explicitly evaluating the first four nonzero coefficients in each case.
A conducting sphere of radius R1 is given a free charge Q. Find the electric field everywhere in space
A box of ant aunts m1 = 1.65kg and a box of ant uncles m2 = 3.30kg, slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of the incline is zeta = 30 degree. The cefficient of the kinetic friction between the ..
Rotates a 1.00 kg discus along a circular path of radius 1.04 m. The maximum speed of the discus is 17.0 m/s. Find out the magnitude of the maximum radial acceleration of the discus.
A farsighted woman breaks her current eyeglasses and is using an old pair whose refractive power is 1.990 diopters. How far is her near point from her eyes
The point of the needle of a sewing machine moves in SHM along the x-axis with a frequency of 2.5 Hz. Find the acceleration component of the needle at t=0
Under an outdoor area "yellow" (Na lamp) light, a fiber is placed between but at the edger of two 3 cm glass slides. how thick is the fiber
How fast should the platform move, v_p, for the person to detect a beat frequency of 7.00 Hz ? Take the speed of sound to be 344 m/s. Express your answer numerically in meters per second.
Four point charges are located at the corners of a square with each side of length (l) = 5.0 cm, as shown in the figure from the last problem. Charge q1 = q2 = +2.0 μC and charge q3 = q4 = +1.0 μC. Assume that a charge q5 = -2.0 μC is placed at poi..
A light beam has a wavelength of 300 nm in a material of refractive index 1.5. In a material of refractive index 3.0, find its wavelength
In the Bohr model of hydrogen, the electron moves in a circular orbit around the nucleus. Determine the angular speed of the electron
a 13-kg ball moving at 24 ms collides elastically and head-on with a second 5-kg ball moving in the opposite direction
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