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Q: Where does the 9.81 m/s come from?
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Q: Find the work done value Force 22.66 N displacement-7 m
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- Assume that electrons in a 2- dimensional system has a linear dispersion relation: E = ~vFk, where vF is theFermi velocity. Obtain the density of states (DOS) for these electrons.!) given a line charge distribution of (102 C/m) on z axis, find VAB where A(3, 1/2,1) and B(4, z, 6).The flux of F out of a small sphere of radius 0.05 centered at (4, 3, 4), is 0.015. Estimate: (a) div F at (4, 3, 4): div F 2 (b) The flux of F out of a sphere of radius 0.1 centered at (4, 3, 4). flux 2
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- (a) Find the mass density of a proton, modeling it as a solid sphere of radius 1.00 x 10-15 m. (b) What If? Consider a classical model of an electron as a uniform solid sphere with the same density as the proton. Find its radius. (c) Imagine that this electron possesses spin angular momentum Iω = h/2 because of classical rotation about the z axis. Determine the speed of a point on the equator of the electron. (d) State how this speed compares with the speed of light.In the normal operating region, the characteristic of a certain triode may be written as, Ip = 10-5(160V, + 2.22V,) Determine analytically the values of u, r, and Im.Show that the hydrogen wave functionsφ 200 and φ21-1 are normalized. If the integrals required are not in Appendix 3, consult a table of integrals or use computer integration.
- IV. Given that: 3 mv? 2 v?e 2RT т f6) = 4r () (2TRT. and there is an identity showing that: 1 x2e-ax dx =. 4α να Prove the equation below using Maxwell distribution function: f(v)dv = 1475 cm /volt-s, and E, = 1.1 eV, 6? Given these data for Si: 4, = 1350 cm/volt-s, H calculate the following. a) The lifetimes for the electron and for the hole. b) The intrinsic conductivity a at room temperature. c) The temperature dependence of o, assuming that electron collision is dominated by phonon scattering, and plot log o versus 1/T. %3D 7. Repeat Problem 6 for Ge, using Tables 6 L and 6 ?Check Your Understanding Can the magnitude of Lzever be equal to L?