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Stability of the discretized wave equation. Analyze the stability of the algorithm presented in Problem 3.4 using the von Neumann method. (This will require some steps similar to the leapfrog algorithm.) Does the stability criterion derived here agree with the results of Problem 3.4? 5.6. Stability in the FDTD method. Write a 1D FDTD simulation 400 grid cells long for a wavelength of 1 m, with ?x = λ0/20. Launch a Gaussian pulse from the left end of the space with the same parameters as Problem 5.4 above. Now, increase ?t very slightly to excite an instability, similar to Figure 5.4. Can you measure the growth rate of this instability? Does this growth rate agree with q from Equation (5.14)? 5.7. Stability in the 2D FDTD method. Write a 2D TM mode FDTD simulation that is 100 grid cells in the y-dimension and 500 cells in the x-dimension. Use PEC at the far right boundary; at the top and bottom boundaries, set .,
replace the unknown fields with their counterparts on the opposite boundary. This is called a periodic boundary condition, which we will study in Chapter 12. Launch a plane wave from the leftmost boundary at a frequency suitable to the grid cell size. Now, investigate the stability of this problem by varying ?t; how large can you make ?t before the simulation goes unstable? Can you surpass the CFL condition? Why or why not?
An ideal synchronous machine delivers 250 kW of average power to a3.8 kV line-line, 60 Hz power system at a leading power factor of0.8. The machine has 8 poles. a) What is the magnitude of the current supplied to the power system
Write an assembly-language program to add $40 to each element of list1 and store it to the corresponding element of list2. Use a loop. ORG $2000 LIST1 DC.W $21, $442, 3, 4, 5
Sketch the per-phase, per-unit equivalent circuit of the power system in Figure. (Treat each load on the systems as a resistance in series with a reactance.) Note that you do not have enough information to actually calculate the values of compon..
A 100-KVA, 2500/125-V, 50-Hz, step-down transformer has the following parameters: RH= 1.5 ohm ,XH= 2.8 ohm , RL=15 m omh XL = 2.m ohm, ,RcH=3 k ohm, XmH = 5k ohm. The transformer delivers 85% of the rated load at a terminal voltage of 110V
Add an activehigh overflow indicator and the required detection circuitry. Thecircuit should have inputs a7 through a0, inputs b7 through b0, sumoutputs s7 through s0, and output overflow. For all inputs/outputsuse index 7 as the MSB and index 0 a..
A 60-Hz source supplies power to an industrial load through a transmission line of impedance (0.2+ j0.1) ohms. The load consumes 130 kW of power at line voltage VL= 440
Determine the magnitude of the velocity and acceleration of the car when it reaches point B. Also, how much time is required for it to travel from A to B?
An op-amp circuit operating from ±10 V supplies has L+ and L- of +8 V and -8.5 V respectively, and a closed-loop gain of -10 VN. What is the peak-to-peak value of the largest possible input sine wave having zero average, for which the output is no..
Include the signal source and load and derive an expression for the overall gain
Discuss what is meant by line spectra and what information can be gathered from a line spectrum plot. Discuss the similarities and differences between the Fourier Transform and the Laplace Transform.
A 2-V-peak sine wave signal is converted to digital form by a 12-bit ADC that has been designed to accept signals ranging from -5V to +5 V. (In other words, code words are assigned for equal increments of amplitude for amplitudes between -5V and ..
Describe the microscopic structure of semiconductor materials. What are the three most commonly used semiconductor materials?
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