Electromagnetic theory 2

(a) Obtain the expressions for Ex and Ey for the transverse electric case and show that they satisfy the condition Ell *= 0 on the boundary.

(b) A rectangular metallic waveguide has dimensions, a = 3.0 cm and b = 4.0 cm. Find out the modes (TE and TM) in which a free space wavelength of 4.5 cm could propagate through it.

(c) A waveguide has an inside dimension of 6cm x 1cm. Find the first 3 modes and its cut-off frequencies. In the situation where you would want to have only one mode of propagation, what will be the proposed frequency range?

EII= E parallel

A coal particle burns in air at 1145 K and atmospheric pressure. The process is limited by diffusion of the oxygen counterflow to the CO₂ and CO that are formed at the particle surface. Twice as much CO is formed as CO₂. Assume that the coal is pure carbon with a density of 1280 kg/m³ and that the particle is spherical with an initial diameter of 0.015 cm. Under the conditions of the combustion process, the diffusivity of oxygen in the gas mixture may be assumed to be 10^-4 m²/s. If the combustion is instantaneous:

Find an algebraic equation for the combustion rate of oxygen, W_A. State all assumption and boundary conditions.

Determine the time that is necessary to reduce the diameter to 0.005 cm.

mass transfer course

1.What is a 'technology dead end’? Why are technology dead ends important for economic growth? Illustrate with an example. Hint: Easterly (2002) talks about all this in ch. 9.

2.In your opinion, does intellectual property (i.e. temporary ownership of ideas) incentivize the creation of more new ideas or does it lower the rate of subsequent innovation and creative expression? Explain briefly how or why. Gilbert (2011) may help you think about this.

A taxicab company maintained accurate records of the expenses for one of its automobiles from January 1, 1996 through January 1, 2002. It is found from the records, the annual operating expense is $4,000.   The maintenance and repair costs are $500 for 1996, $1,000 for year 1997, $1,500 for year 1998, and so on.   What is the net present cost of owning and operating the automobile, if its initial price was $30,000 and the interest rate is 5%?

A. $72,171B. $23,838C. $49,387D. $58,826

The annual profits for a company are given in the following table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest ten-thousandth. Using this equation, estimate the year in which the profits would reach 413 thousand dollars.

Year (x)                Profits (y)

(in thousands of dollars)

1999 112

2000 160

2001 160

2002 173

2003 226

Can you please show step by step solution thanks.

7. Use the substitution & method of INSERT command to populate EMP_PROJ table. INSERT INTO EMP_PROJ VALUES (‘&empNo’, ‘&projNo’, &hoursWorked); NOTE: enclose &empNo in ‘ ‘ if the datatype is a string – VARCHAR2 or CHAR If empNo is NUMBER datatype then do not enclose &empNo in ‘ ‘!

YOU MUST read the "UNITED STATES' BRIEF IN SUPPORT OF ITS PROPOSED FINDINGS OF FACT AND CONCLUSIONS OF LAW" case, a pursuant to the antitrust prosecution of Dentsply International, Incorporated. The Antitrust Division of the Justice Department, in a complaint filed in 1999, alleged that Dentsply violated §1 and §2 of the Sherman Act and §3 of the Clayton Act. Read the Brief filed by the DOJ in 2002 and answer the following questions:

6. How did Denstply violate §3 of the Clayton Act, according to the government?

5(a)What is the probability that out of 200 pieces of randomly selected glass, more than fifty-five of them are defective. [5 marks]

A sample of 12 of bags of Calbie Chips were weighed (to the nearest gram), and listed here as follows.

219, 226, 217, 224, 223, 216, 221, 228, 215, 229, 225, 229 Find a 95% confidence interval for the mean mass of bags of Calbie Chips.

[9 marks]

(b) Professor GeniusAtCalculus has two lecture sections (A and B) of the same 4th year Advanced Calculus (AMA 4301) course in Semester 2. She wants to investigate whether section A students maybe ”smarter” than section B students by comparing their perfor- mances in the midterm test. A random sample of 12 students were taken from section A, with mean midterm test score of 78.8 and standard deviation 8.5; and a random sample of 9 students were taken from section B, with mean midterm test score of 86 and standard deviation 9.3. Assume the population standard deviations of midterm test scores for both sections are the same. Construct the 90% confidence interval for the difference in midterm test scores of the two sections. Based on the sample midterm test scores from the two sections, can Professor GeniusAtCalculus conclude that there is any evidence that one section of students are ”smarter” than the other section? Justify your conclusions.

[8 marks]

(c) The COVID-19 (coronavirus) mortality rate of a country is defined as the ratio of the number of deaths due to COVID-19 divided by the number of (confirmed) cases of COVID-19 in that country. Suppose we want to investigate if there is any difference between the COVID-19 mortality rate in the US and the UK. On April 18, 2020, out of a sample of 671,493 cases of COVID-19 in the US, there was 33,288 deaths; and out of a sample of 109,754 cases of COVID-19 in the UK, there was 14,606 deaths. What is the 92% confidence interval in the true difference in the mortality rates between the two countries? What can you conclude about the difference in the mortality rates between the US and the UK? Justify your conclusions. [8 marks]