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1. What is a boundary condition? How do boundary conditions arise and how are they derived?
2. Summarize the boundary conditions for the general case of a boundary between two arbitrary media, indicating correspondingly the Maxwell's equations in integral form from which they are derived.
If it takes 1 sec to rotate 45 degrees after starting from rest, how long in seconds would it take to instead rotate 81 degrees after starting from rest under the same constant angular acceleration.
If you are having trouble arriving at a closed-form stability condition, make plots of the amplification matrix eigenvalues with variations in ?t and ?x until you arrive at a stability condition semi-empirically.
Find the magnetic field from a uniform current density J in a cylindrical conductor withits axis along the z-axis, and express it in cartesian coordinates
i. Find the refractive index of the dielectric medium. ii. At what angle of incidence will the incident TM wave be totally refracted into air. iii. For a TE wave incident at the angle of incidence found in part (ii) above.
Design and implement a Rectangle class. Make your class inherit from the Point class given in the lecture (notice that a rectangle can be described through the upper-left vertex, the height, and the width).
A trough is 8 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^{8} from x=-1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty
The air feels humid. No air is coming from the registers. The air handler is in the attic. An examination of the condensing unit shows that the suction line has ice all the way back to the compressor. The compressoris still running.
Design a power system for a facility, which requires both three phase and single phase supplies. Following conditions must be applied in the design: 1) The facility is at least 60 km far from a distribution substation.
An electron is released from rest at the negative plate of a parallel plate capacitor. If the distance between the plates is 5 mm and the potential difference across the plates is 5 V, with what velocity does the electron hit the positive plate
A certain nonmagnetic material has the material constantsεr = 2 andε′′/e′=4 × 10^-4 at ω =1.5Grad/s. Find the distance auniform plane wave can propagate through the material before a. it is attenuated by 1 Np;
A control system is needed to control a small shopping center parking lot lighting system and the exterior lighting for the building. The design specifications require that the parking lot lighting and the exterior lighting turn on at dusk automat..
An LTI system has an impulse response h(t) = e^(t) u(-t),where u(t) is the unit step signal. (a) Give a differential equation description for the system. (b)Suppose that an input signal is given as x(t) = e^(-t) u(t). Determine the output response.
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