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Consider an electron in a cubic crystal of a semiconductor material. Such an electron is free to move throughout the cubic volume of the crystal, but cannot escape outside the cube. It is trapped in a three-dimensional infinite potential well. The electron can move in three dimensions. The potential function is given by V(x,y,z)=0 for 0 < x < L, 0 < y < 1.5L, and 0 < z < 2L. V(x,y,z)=? elsewhere. Let L = 1.5Å. (Note: 1 Å = 1 x 10-10 m)(a.) Set up and solve Schrodinger's wave equation for all regions (make sure to apply postulates on ? .(b.) Find the wave solutions (?(x,y,z) ) for all regions.(c.) Is this Energy quantized or continuous? Explain why.(d.) Calculate the energies of the lowest three distinct non-degenerate states.(e.) Using Matlab, graph the normalized wave solutions (ie. |?(x,y,z)|2) for 0 < x < L and0 < y < 1.5L and 0 < z < 2L associated with the following energy states:1) E2,3,12) E1,2,23) E3,1,3
A six pole,60 Hz synchronous motor is connected to an infinit bus of 15 KV through a transmission line.The synchronous reactance of the motor is 5 ohm ,and the inductive reactive reactance of the transmission line is 2 ohm
It the resistors used are not ideal but have a ±5% manufacturing tolerance, what are the extreme output voltage and resistances that can result?
Explain how energy efficiency can be traded off for bandwidth efficiency by multilevel modulation schemes. Rank the following modulation schemes: 64-ary PSK, Binary FSK, QPSK in terms of bandwidth efficiency and energy efficiency.
A certain transmission line is 10 meters long. Measurements indicate that the total inductance of the cable is 16 uH. Standing wave measurements indicate that the voltage reflection coefficient at the load is 0.5 + j0
Design a clock that displays seconds from 0 to 30 on the FPGA 7-segment displays, with a reset button that resets the clock value at any time.
The current through a particular circuit element is given by i(t) = 10sin(200*pi*t) A. Determine the net charge that passes through the element between t=0 and t=10ms. Repeat for the interval t=0 and t=15ms.
A balanced Δ connected load of 15 + j9 Ω/phase is being fed by a Δ connected source. Each of the three lines feeding the load from the source has 0.5 + j0.3 Ω impedance. The voltage at the source is 400 VLL.
Consider a system equation s^4 + s^3 + s^2 + 2s + 10 = 0. FInd out its Routh Table. Determine if this system is stable, marginal stable or unstable. How many roots are stable and how many roots are unstable.
An injection-molding machine can be purchased and installed for $90,000. It is in the seven-year GDS property class and is expected to be kept in service for eight years. It is believed that $10,000 can be obtained when the machine is disposed of ..
Determining the o/p level from an attenuator of know i/p, An attenuator has an attenuation of 10 dB over the frequency range 10 MHz to 1.0 GHz
(b) This voltage is measured using a defective voltmeter, which always indicates a lower reading than the actual value. Suppose the voltmeter reading is 2.5*10^(-4). Calculate the probability that the error is not more than 0.5 *10^(-4).
Describe what precautions you will take in designing the analog front end of the instrument before you perform the sampling for DSProcesing. Justify your claims by using engineering arguments.
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