For the following unbalanced 3Φ voltages V_a = 240/15° V, V_b = 340/-65° V, V_c = 400/105°V calculate:   

1. the positive sequence component V_a1

[Insert answer here]

2. the negative sequence component V_a2

[Insert answer here]

3. the zero sequence component V_a0

[Insert answer here]

4. show V_a1 + V_a2 +V_a0 = V_a

[Insert answer here]

4.11)The equivalent circuit parameters of a 150 kVA, 2400 V/ 240 V, 60 Hz transformer are as follows:

RHV = 0.21Ω, RLV = 2mΩ, XlHV = 0.45Ω, XlLV = 4.6mΩ, XmHV = 1.6kΩ, and RcHV = 12kΩ.

The transformer delivers to a load, rated current at a power factor of 0.85 lagging at rated voltage. Determine the input voltage, current, apparent power and power factor, (a) using the approximate equivalent circuit, and (b) not using the approximate equivalent circuit.

Problem 4.12 For the transformer in problem (4.11), determine the efficiency when operating with, 1. rated current, rated voltage and lagging power factor of 0.8, 2. 80% of rated current, rated voltage, and unity power factor. Problem

4.13 Calculate the voltage regulation of the transformer in problem (4.11) when delivering,

1. rated current at 0.9 lagging power factor,

2. rated current at unity power factor, and

Ed's utility from vacations (V) and meals (M) is given by the function U(V,M) = V2M. Last year, the price of vacations was $200 and the price of meals was $50. This year, the price of meals rose to $75, the price of vacations remained the same. In both years, Ed had an income of $1500. Calculate the ΔCS, CV, and EV from the change in meal prices.

(1) Run Prim's algorithm and Kruskal's algorithm for the following graph:

G(V, E)
where V = {A, B, C, D, E}
E = { {A,B}, {B,C}, {C, A}. {B, D}, {B, E}, {D, E}}
use edge weights: w({A, B} = 1), w({B, C}) = 2, w({C, A}) = 3, w({B, D}) = 4, w({B, E}) = 5, w({D, E}) = 6.

(2) Can the maximum weight edge be in every minimum spanning tree of a graph?

Ed's utility from vacations (V) and meals (M) is given by the function U(V,M) = V²M. Last year, the price of vacations was $200 and the price of meals was $50. This year, the price of meals rose to $75, the price of vacations remained the same. Both years, Ed had an income of $1,500. Include a budget line and indifference curve diagram in your response to this question.

1. What is Ed’s optimal consumption of vacations and meals before and after the price change?
2. Calculate the substitution and income effects arising from the change in meal price. Are meals a normal good, and inferior good, or neither? Explain.

Let G(V, E,w) be a weighted undirected graph, where V is the set of vertices, E is the set of edges, and w : E → R + is the weight of the edges (R + is the set of real positive numbers). Suppose T(G) is the set of all minimum spanning trees of G and is non-empty. If we know that the weight function w is a injection, i.e., no two edges in G have the same weight, then:

a) How many elements would T(G) has? Please support your answer to the above question with a proof.

A group of students, performing the same Uniformly Accelerated Motion experiment that you did in lab, dropped a picket fence through a photogate and obtained the following data from the computer.

The band spacing is 0.06 m.

(a) Use Excel to do the following. (You will not submit this spreadsheet. However, the results will be needed later in this problem.)

(i) Calculate the accelerations.

(ii) Calculate the average of the accelerations.

(iii) Create a graph of velocity versus time.

(iv) Use the trendline option to determine the slope.

(v) Report your results below.

(b) What is the average acceleration? (Give your answer to four significant digits.)
a_avg =

(c) What is the average acceleration a_average as determined from the slope? (Give your answer to four significant digits.)
a_avg =

(d) What is the percent difference between the values of the acceleration you obtained in (b) and (c) above?
%

I am struggling as to why I keep getting the wrong answer.

A concentration cell based on the following half reaction at 309 K Ag+ + e- → Ag SRP = 0.80 V has initial concentrations of 1.37 M Ag+, 0.269 M Ag+, and a potential of 0.04334 V at these conditions. After 9.3 hours, the new potential of the cell is found to be 0.01406 V. What is the concentration of Ag+ at the cathode at this new potential?