a) An AC mains line has frequency 50 Hz, and an amplitude of220V, to which a...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
a) An AC mains line has frequency 50 Hz, and an amplitude of220V, to which a DC voltage of -20 volts is added, so that the voltage swings between -240 to +200 V. find: average value i) ii) mean-square value iii) root-mean-square value a) Give signal interpretations for the following statistical averages i) X(t) ii) [X(t)]²2 X² (t) var{X(t)} iv) (2marks (3marks (1marks) +∞0 ¹ + X₁ (jw)X₂ (jw)df -∞ 2πT -00 Use this theorem to show that the energy spectral density for a signal x(t) is given by S(w) = |x(jw)|² (3marks) 2п c) A signal is given by: z(t) = x(t) + y(t). By considering the signal power define cross power of x(t) and y(t) (2marks) b) Parsevals theorem states: x₁ (t)x₂ (t)dt = a (1mark) (1mark) (1mark) (1mark) d) Look at the graphs shown below and for signals x and y, and describe them in terms of correlation, explaining why. (5marks) y b X y с X a) An AC mains line has frequency 50 Hz, and an amplitude of220V, to which a DC voltage of -20 volts is added, so that the voltage swings between -240 to +200 V. find: average value i) ii) mean-square value iii) root-mean-square value a) Give signal interpretations for the following statistical averages i) X(t) ii) [X(t)]²2 X² (t) var{X(t)} iv) (2marks (3marks (1marks) +∞0 ¹ + X₁ (jw)X₂ (jw)df -∞ 2πT -00 Use this theorem to show that the energy spectral density for a signal x(t) is given by S(w) = |x(jw)|² (3marks) 2п c) A signal is given by: z(t) = x(t) + y(t). By considering the signal power define cross power of x(t) and y(t) (2marks) b) Parsevals theorem states: x₁ (t)x₂ (t)dt = a (1mark) (1mark) (1mark) (1mark) d) Look at the graphs shown below and for signals x and y, and describe them in terms of correlation, explaining why. (5marks) y b X y с X
Expert Answer:
Answer rating: 100% (QA)
a i The average value of the voltage signal is obtained by finding the arithmetic mean of the signal over a full cycle Since the signal swings between ... View the full answer
Related Book For
College Physics With An Integrated Approach To Forces And Kinematics
ISBN: 978-1260547719
5th Edition
Authors: Alan Giambattista
Posted Date:
Students also viewed these electrical engineering questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
A cylindrical tank 80 cm in diameter and 2.0 m high contains water at 80C. The tank is 90 percent full, and insulation is to be added so that the water temperature will not drop more than 2C per...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Did you have imaginary friends when you were a young child? What do you remember about them and their value to you?
-
If the dot product of two vectors is positive, does this imply that the vectors must have positive rectangular components?
-
Repeat as shown below for a B-tree. Construct a B+-tree for the following set of key values: (2, 3, 5, 7, 11, 17, 19, 23, 29, 31) Assume that the tree is initially empty and values are added in...
-
What happens to the difference between the carrying amount of bonds and the principal amount of the bonds over time?
-
a. Carlys Catering provides meals for parties and special events. In Chapter 2, you wrote an application that prompts the user for the number of guests attending an event, displays the company motto...
-
Design a slider-crank mechanism so that the displacement of the slider is proportional to the square of the crank rotation in the interval 45 <0 135. Use three point Chebyshev spacing.
-
Greyon Inc. operates an active business. Financial statements for the year ended December 31, 2021 report a net income before taxes of $300,000. The following additional information is provided: 1....
-
You agree that a tenant can buy a directory sign at your cost plus a fifteen percent (15%) mark-up. The tenant is charged $ 373.75 for the sign. What was your cost? if you pay $ 225.00 for the...
-
a. Construct the market supply schedule. b. What are the minimum prices that Xavier, Yasmin, and Zack are willing to accept to supply 20 rides? Why? Price (dollars per ride) 100 90 80 70 60 50 40...
-
Most residents of Ventura County, California, pay $3.10 per 100 cubic feet of water. Agricultural water users pay $1.79 per 100 cubic feet. Water officials propose to increase these prices to $4.24...
-
In the market for corn, explain why the corn price has fallen and explain how an increased subsidy influences the price and quantity of corn. In 2016, 25 percent of an estimated $55 billion farm...
-
Calculate the slope of the relationship in Problem 4 between 3,846 and 4,071 theaters. Use the following news clip to work Problems. Kong Tops the Box Office Movie Kong: Skull Island Logan Get Out...
-
Let X U(a, b) a. Show that if \(x \leq a\) then \(P(X \leq x)=0\). b. Show that if \(x>b\) then \(P(X \leq x)=1\). c. Show that if \(a F(x) = 0 x-a b-a 1 x a a
-
What are two of the 6 factors courts consider when awarding punitive damages in IP infringement cases? What are two of the 5 types of IP for which CIPO grants or registers ownership? What are the 2...
-
Find the work done in pumping all the oil (density S = 50 pounds per cubic foot) over the edge of a cylindrical tank that stands on one of its bases. Assume that the radius of the base is 4 feet, the...
-
(a) Show that the number of electron states in a sub-shell is 4 + 2. (b) By summing the number of states in each of subshells, show that the number of states in a shell is 2n 2 . Use the fact that...
-
When both are expressed in terms of SI base units, torque has the same units as (a) Angular acceleration (b) Angular momentum (c) Force (d) Energy (e) Rotational inertia (f) Angular velocity
-
Bacteria swim using a corkscrew-like helical flagellum that rotates. For a bacterium with a flagellum that has a pitch of 1.0 m that rotates at 110 rev/s, how fast could it swim if there were no...
-
The inverting op-amp circuit in Figure 9.9 has parameters \(R_{1}=20 \mathrm{k} \Omega\), \(R_{2}=200 \mathrm{k} \Omega\), and \(A_{o d}=5 \times 10^{4}\). The output voltage is \(v_{O}=-4.80...
-
The circuit in Figure P9.28 is similar to the inverting amplifier except the resistor \(R_{3}\) has been added. (a) Derive the expression for \(v_{O}\) in terms of \(v_{I}\) and the resistors. (b)...
-
(a) Consider the op-amp circuit in Figure P9.27. The open-loop gain of the op-amp is \(A_{o d}=2.5 \times 10^{3}\). (i) Determine \(v_{O}\) when \(v_{I}=-0.80 \mathrm{~V}\). (ii) What is the percent...
Study smarter with the SolutionInn App