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TM-polarized plane wave is incident on a PEC cylinder of radius a aligned along the z-axis in free space. The cylinder is coated with a material layer of radius b with complex permittivity ? c(ω) and permeability µ(ω) ˜ . Apply the boundary conditions on the surface of the cylinder and across the interface between the material and free space and determine the total field both internal and external to the material layer.
What forms do the equations of motion for an idealized string take if either (a) the linear density varies with position, or (b) the string hangs vertically supported only at the upper end?
gaseous hydrogen at 10 bars and 27 degrees celsius is stored stored in a 100 mm diameter spherical tank having a steel
Suppose random variable X is normally distributed. Find the probability that X is less than 6 or X is at least 12...
a certain indutrial process requires a steady stream of saturated vapor steam at 200 kpa at the rate of 2 kgs. there
a ball rolls on the interior of a paraboloid of revolution given by x2y2cz. the angle of rotation about z axis is
You arrive home from a winter trip and turn on your baseboard (resistance coil) heater to warm the room. It remains on for 14 minutes, during which time it steadily consumes 3.5 kW of electricity. How much energy was transferred to the room in kJ?
two kilograms of zinc at 500c and 1 atmosphere is contained in a thermally insulated jacket. the system is compressed
If you disturb a tank of length L and water depth h, the surface will oscillate back and forth at frequency Ω, assumed here to depend also upon water density and the acceleration of gravity g.
Estimate the cost of a 40-kW unit of the same general design. Include the cost of the $18,000 pre compressor.
The homogeneous sphere of mass m and radius r rolls without slipping on a cylindrical surface of radius R. Calculate the frequency of small oscillations about the equilibrium position shown
Identify and explain the components of the hydraulic system given by the circuit diagram in Figure P7.55. Describe the operation of the overall system.
A small velocity probe is to be inserted through a pipe wall. If we measure from the outside of the DN 150 Schedule 80 pipe, how far (in mm) should the probe be inserted to sense the average velocity if the flow in the pipe is laminar?
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