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Consider a potential problem in the half-space defined by z > 0, with Dirchlet boundary conditions on the plane z = 0 (and at infinity).
(a) Write down the appropriate Green function G(x, x')
(b) If the potential on the plane z = 0 is specific to be phi = V inside a circle of a radius a centered at the origin, and phi = 0 outside that circle, find an integral expression for the potential at the point P specified in terms of cylindrical coordinates (p, phi, z).
(c) Show that, along the axis of the circle (p = 0), the potential is given by:
(d) Show that at rage distances (p^2 + z^2 >> a^2) the potential can be expanded in a power series in (p^2 + z^2)^-1, and that the leading terms are:
A 25KVA transformer supplies a load with the following schedule: 8hrs-full load with 0.8 lagging power factor. 4hrs-75% full load at unity power factor. 12hrs-No load. The transformer is energised 24hrs per day and has iron losses of350w.
A current of 4 A flows through a wire forming a "loop" circle of radius r. If the magnetic field in the center of the "loop" is 10 A, what is the radius along the "loop": a) if the loop consists of a loop of wire, b) if the "loop" consists of 20 t..
How does this cost compare with the current cost of new coal figured generation at 3.5¢/kWh? Write a brief (400 words or less) argument on why Colorado should or should not shut down its coal power plants and replace them with wind farms?
A 10 kW laser beam pointing at the ship is turned on at t=0. What speed the ship will attain in 1 day assuming that the surface of the ship is perfectly reflective and perpendicular tot the beam.
(a) Write f as a minterm list (that is, in the form fm(*)). (b) Write f as a canonical sum-of-products. (c) Simplify the expression from part (b). (d) Write f as a maxterm list (that is, in the form fM(*)). (e) Write f as a canonical product-of-sums...
A 3-bit binary counter counts for 0 (000) to 7 (111). The counter moves to the next state with an input of x = 0 and stays in the same state with an input of x = 1. a. Draw the State Table and State Diagram for this 3-bit binary counter.
When this combination is connected across a battery, the current delivered by the battery is 0.330 A. When the 43.0 W resistor is disconnected, the current from the battery drops to 0.190 A. Determine the emf of the battery.
Write an instruction sequence to subtract the 4-byte number stored in memory locations 0x10-0x13 from the 4-byte number stored in memory locations 0x00-0x03 and store the difference in memory locations 0x20-0x2
Write down the principle of energy conversion and give an example for single and double excited system.
a) Determine the self inductance of coil 1, L11 b) Determine the self inductance of coil 2 L22 c) Determine the mutual inductance between the two coils, L12 or L21
a. The mass of an electric car is 900 kg including the passengers. A single motor mounted on the front wheels drives the car, and the radius of the wheel is 0.3 m. The car is going downhill at a speed of 50 km/hr, and the slope of the hill is 30 d..
Describe very briefly the function and essential features of each block - Identify all inputs and outputs by the use of I/O designation charts.
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