Find the power factor?

An overexcited 2300-V, 3-phase, wye-connected synchronous motor runs at a power angle of 21 degrees. The per-phase synchronous impedance is 0.1 + J2 ohm. If the motor takes a line current of 350 A.

  1. Find the power factor
  2. If the internal induced voltage is the same as the line voltage at the power angle 20 degrees, find the power factor and the line current of the motor
  3. In part b) find the developed power of this motor

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Electrical Machines 1 Answer Anonymous(s) Post

Find scalar and vector potentials for this function.

  1. Let \(F_1=x^2ẑ\) and \(F_2=x\:x̂+y\:ŷ+z\:ẑ\). Calculate the divergence and curl of \(F_1\) and \(F_2\). Which one can be written as the gradient of a scalar? Find a scalar potential that does the job. Which one can be written as the curl of a vector? Find a suitable vector potential.

    In physics, the word field denotes generically any function of position \(\left(x,\:y,\:z\right)\) and time \((t)\). But in electrodynamics two particular fields \(\left(E\:and\:B\right)\) are of such paramount importance as to preempt the term. Thus technically the potentials are also “fields,” but we never call them that.
  2. Show that \(F_3=yz\:x̂+zx\:ŷ+xy\:ẑ\) can be written both as the gradient of a scalar and as the curl of a vector. Find scalar and vector potentials for this function.

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Electromagnetic Theory 1 Answer Anonymous(s) Post

Estimate the weight of the body, in newtons.

Air at 20°C and 1 atm enters the bottom of an 85° conical flowmeter duct at a mass flow of 0.3 kg/s, as shown in Fig. P3.79. It is able to support a centered conical body by steady annular flow around the cone, as shown. The air velocity at the upper edge of the body equals the entering velocity. Estimate the weight of the body, in newtons.

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Fluid Mechanics 1 Answer Anonymous(s) Post

Identify any constraints that correspond to mutually exclusive alternatives or contingent decisions.

An increasing number of Americans are moving to a warmer climate when they retire. To take advantage of this trend, Sunny Skies Unlimited is undertaking a major real estate development project. The project is to develop a completely new retirement community (to be called Pilgrim Haven) that will cover several square miles. One of the decisions to be made is where to locate the two fire stations that have been allocated to the community. For planning purposes, Pilgrim Haven has been divided into five tracts, with no more than one fire station to be located in any given tract. Each station is to respond to all the fires that occur in the tract in which it is located as well as in the other tracts that are assigned to this station. Thus, the decisions to be made consist of

(1) the tracts to receive a fire station and
(2) the assignment of each of the other tracts to one of the fire stations. The objective is to minimize the overall average of the response times to fires.

The following table gives the average response time to a fire in each tract (the columns) if that tract is served by a station in a given tract (the rows). The bottom row gives the forecasted average number of fires that will occur in each of the tracts per day.



Formulate a BIP model for this problem. Identify any constraints that correspond to mutually exclusive alternatives or contingent decisions.

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Theory of probability 1 Answer Anonymous(s) Post

Use Armstrong’s axioms to prove the derivation functional dependencies.

Use Armstrong’s axioms to prove the derivation functional dependencies
In each step of the proof, Armstrong’s axiom must be specified.

  1. Consider a relation R=(A,B,C,D,E, F, G) that satisfies the following four FDs: A→B, A→C, CD→EF, F →G
    Using the Armstrong Axioms, find the minimal key for relation R.
  2. Consider a relation R=(L, M, N, O, P, Q) that satisfies the following four FDs: L→ M, N→ LO, LQ→ P.Does NQ→PM hold?
    If so, show a formal proof.

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Design and Analysis of Algorithms 1 Answer Anonymous(s) Post