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Question 3 (15 points) Synchronous Motors Three 1 kV AC motors are used to drive pumps in a TUT Arcadia Campus and connected to the feeder network. The three motors are supplied by a three-phase line with an impedance of $0.9 + j5 \Omega$ per phase. The voltage on the motors is 90% of the nominal voltage. Motor 1 is an induction motor consuming 10 kW at 0.85 PF lagging and Motor 2 is an induction motor consuming 5 kW at 0.8 PF lagging. Motor 3 is a synchronous motor whose real power consumption is 10 kW and at p.f. 0.9 leading. Determine: 3.1 the total power reactive power absorbed/supplied by the 3 motors. (7) 3.2 the total real power of the 3 motors. (1) 3.3 the power factor of the system. (2) 3.4 the total current supplied to the 3 motors. (1) 3.5 the losses over the supplying line if the load is to be reduced by half. (2) 3.6 the reactive power consumed by the Motor 2 based on condition 3.5 above. (2)

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What is the Fermi energy in a solid? a. The energy of the conduction band b. The energy at which the density of states is zero c. The maximum energy of electrons at absolute zero temperature d. The energy at which all electron states are filled

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Loose connective and adipose are examples of Select one: O Cells O Fibres O Muscles O Tissues

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A chemistry student weighs out 0.103g of acetic acid HCH3CO2 into a 250.mL volumetric flask and dilutes to the mark with distilled water. He plans to titrate the acid with 0.1100M NaOH solution. Calculate the volume of NaOH solution the student will need to add to reach the equivalence point. Be sure your answer has the correct number of significant digits.

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A phospholipid is a molecule made of two components: a phosphate group that is bonded to 2 fatty acid chains. Describe the nature of those 2 components. The phosphate group is hydrophobic, and the fatty acids are hydrophilic The phosphate group is hydrophilic, and the fatty acids are hydrophobic Both the phosphate group and the fatty acids are hydrophobic Both the phosphate group and the fatty acids are hydrophilic

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Find y^(') if y=(-14)/(sqrt(x)) 14 Find y' if y WX

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What is the Medicare and Medicaid incentive program? Question 26 Select one: a. The Union Act b. Cash incentives to providers for adopting electronic health record (EHR) technology c. The Patient Development Act d. Obama Care

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Find all the antiderivatives of the following function. \(f(x) = 5x^4\) The antiderivatives of \(f(x) = 5x^4\) are \(F(x) =\)

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Instructions: I. Phase 1: • Select a function such as $f(x) = x^2$ and graph it on a piece of a paper OR using graphing software. • Explore how the function changes when certain transformations are applied. (Horizontal and vertical transformations) Page 1 • Graph the transformed functions and analyze the changes when a certain transformation is applied.

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20\frac{kg}{h} of water vapour at 150°C is mixed with some pure cold water at 20°C and the resultant mixture leaves the mixer at 50°C in liquid form. Given the following information, determine the required mass flow rate of the inlet cold water in \frac{kg}{h} to 2 decimal places. - Specific heat capacity of water is 4.2 \frac{kJ}{kg.K} and it does not change with temperature. - Specific heat capacity of water vapour is 2.0 \frac{kJ}{kg.K} and it does not change with temperature. - The latent heat of vaporisation of water is 2258 \frac{kJ}{kg}. - If required, use 0°C as the reference temperature for your calculations. - The mixer is adiabatic, i.e. it does not lose any heat to the surrounding. - The mixer is atmospheric, i.e. it works at constant 1 atm. At this pressure, the boiling point of water is 100°C. \(m_{cold\ water} =\)

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