Question Solved1 Answer A radio wave at 1 GHz is propagating in a transmission line with a characteristic impedance of 50 12. The electrical length of the transmission line is 90°. The transmission line is terminated with a resistor of 100 2 and a capacitor of 1 pF in series, as shown in Fig. Q3a. find the input impedance Zin and the reflection coefficient in from the input port at the generator side. You can obtain the values by either calculation or using the Smith Chart. Z = 5022 C= 1 pF Generator Tin =? Zin = ? 90° R=10022 Fig. Q3a

b) A 220 V, 1500 rpm, 11.6 A separately excited motor is controlled by a l-phase fully-controlled rectifier with an ac source voltage of 230 V, 50 Hz. Enough filter inductance is added to ensure continuous conduction for any torque greater than 25 percent of rated torque, Ra = 2 ohm i) What should be the value of the firing angle to get the rated torque at 1000 rpm? ii) Ca1culate the firing angle for the rated braking torque and - 1500 rpm. iii)Ca1culate the motor speed at the rated torque and = 160o for the regenerative braking in the second quadrant. [4+6]

Suppose that P(A) = 0.4 and P(B) = 0.1. If events A and B are independent, find these probabilities. (a) P(ANB) (b) P(AUB)

Consider the rectangle in the (𝑥,𝑦) plane with vertices (𝑎,𝑏), (𝑎+ℎ,𝑏), (𝑎,𝑏+𝑘), and (𝑎+ℎ,𝑏+𝑘), where ℎ > 0 and 𝑘 > 0. Show, by direct calculation of the line integral from the definition, that the counterclockwise integral of around the rectangle is 0 if the origin is outside the rectangle and 2𝜋 if it is inside. F= = (-y, x2 + y2

Scenario You work for a small company that exports artisan chocolate. Although you measure your products in kilograms, you often get orders in both pounds and ounces. You have decided that rather than have to look up conversions all the time, you could use Python code to take inputs to make conversions between the different units of measurement. You will write three blocks of code. The first will convert kilograms to pounds and ounces. The second will convert pounds to kilograms and ounces. The third will convert ounces to kilograms and pounds. The conversions are as follows: . 1 kilogram = 35.274 ounces • 1 kilogram = 2.20462 pounds • 1 pound = 0.453592 kilograms • 1 pound = 16 ounces • 1 ounce = 0.0283 kilograms • 1 ounce = 0.0625 pounds For the purposes of this activity the template for a function has been provided. You have not yet covered functions in the course, but they are a way of reusing code. Like a Python script, a function can have zero or more parameters. In the code window you will see three functions defined as def convert_kg(value): , def convert_pounds(value): , and def convert_ounces(value): . Each function will have a block showing you where to place your code. What you need to do Best Practices to Follow: Within the functions you will see a line telling you where to write the code. 1. Writing detailed comments and docstrings. 2. Organizing and structuring code for readability. 3. It is recommended that you use your own test cases in order to check for correctness. You can test your code inside the _main__ provided. Steps for Completion Tasks Write code for the convert_kg(value) function that converts value into pounds and ounces. The function should output the following statement "x kg converted is y pounds and z ounces.". Write code for the convert_pounds(value) function that converts value into kg and ounces. The function should output the following statement "x pounds converted is y kg and z ounces.". Write code for the convert_ounces (value) function that converts value into kg and pounds. The function should output the following statement "x ounces converted is y kg and z pounds.". Make it your own The company has extended its product range to include top-of-the-range sparkling beverages that can also be bought wholesale. Extend your code to include conversions for liquid measurements such as fluid Ounces, litres, pints, and quarts. Task This task will be manually graded by your instructor to check that the goals and the requirements for the task have been met.

Problem 2: Recall that f (y) = 2 - exp(-2y) for y > 0. Given Y = y, a discrete random variable, N, has conditional distribution fNlY (nly) .exp(-y) valid for integer n > 0. 1. Derive a conditional density, FYN (y|n) and identify it. 2. Determine conditional expectation and variance for (Y N = 9), that is: E [YN =9] and Var Y N =9]

Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet. You have the cholesterol readings of the 11 employees both before the new diet and one month after use of the diet began. (1). Given alpha = 0.01, the average of differences