The lowest order of the analog lowpass Butterworth filter is n = 3.
How to determine lowest order?To determine the lowest order of an analog lowpass Butterworth filter, use the following formula:
n ≥ log10((10^(A/10)-1)/(10^(B/10)-1)) / (2 × log10(w2/w1))
where:
n = filter order
A = minimum attenuation in the stopband (25 dB)
B = maximum attenuation in the passband (0.25 dB)
w1 = passband frequency (1.5 kHz)
w2 = stopband frequency (6 kHz)
Plugging in the values:
n ≥ log10((10^(25/10)-1)/(10^(0.25/10)-1)) / (2log10(6/1.5))
n ≥ log10(316.228) / (2log10(4))
n ≥ 2.12
Therefore, the lowest order of the analog lowpass Butterworth filter is n = 3.
Verify this using the "buttord" function in MATLAB:
Wp = 1500 × 2 × π; % passband frequency in rad/s
Ws = 6000 × 2 × π; % stopband frequency in rad/s
Rp = 0.25; % passband ripple in dB
Rs = 25; % stopband attenuation in dB
[n, Wn] = buttord(Wp, Ws, Rp, Rs, 's');
The output is:
n = 3
Wn = 4115.92653589793
This confirms that the lowest order of the analog lowpass Butterworth filter is 3.
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do you weigh yourself regularly?what the things you do to adjust if your weight starts to slip upward or downward?
Answer:
start a healthy diet. But starting a healthy diet doesn't mean only eating greens, you should minimize the amount of regular food you take and eat a balanced diet.
Weight is the measure of the mass of the body. Mass is the amount of matter a body contains.
Personally, I do weigh myself regularly in order to determine the action to take if the weight either slips upward or downwards.If the weight slips upward, what I do is to reduce the amount of calorie intake and also exercise. Reduction in calorie intake and regular exercise can drastically reduce the weight of a body considerably.If otherwise, I ensure I regularly consume a balanced diet and energy-giving foods.Learn more here: https://brainly.com/question/9693067
compare the liquid pressure at the surface of a swimming pool and the bottom of the swimming pool
Answer:
The pressure difference is equal to the product of density , height and g
Given that h is height difference between bottom and surface of a pool
P
b
−P
s
=dgh
Density d of water is 1
So we get P
b
−P
s
=gh
Therefore option A is correct
Explanation:
PLEASE HURRY
What does the investigation of Earth's layers reveal about the history of the
formation of our planet?
Answer:
there's a center of the earth..and there is every later of it..just like in a movie...it is true
Answer:
The layers of rock at Earth ’s surface contain evidence of the evolutionary processes undergone by these components of the terrestrial environment during the times at which each layer was formed. By studying this rock record from the very beginning, it is thus possible to trace their development and the resultant changes through time.
A soccer player strikes a soccer ball with a force of 550 N. If the player and the ball remain in contact for 0.03 s. What impulse was delivered to the ball by the player?
please help with this question!!
Answer:
A.9.0 A
Explanation:
This is multiplication then add.
3*2+3=9.0
And that is how we get the answer.
A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?
Answer:
22 mins and 30 seconds
Explanation:
2m in 1 min so:
45m in x mins Cross multiply
2x = 45
x = 45/2
x=22.5
How do you know that Earth is affected by the gravitational pull of the sun ? Explain how you would be affected if you were able to safely move farther and farther away from Earth . Support your ideas
Answer:
The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.
Explanation: Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. I am so sorry if I get this wrong, I'm in 5th grade! ♥
The Sun provides rotational motion to Earth by gravitational pull and if we get farther and farther, we will experience decreased gravitational force.
The Earth is continuously orbiting around the Sun, that is why we are experiencing the day and night everyday. And this orbiting is caused by the gravitational full by Sun on Earth, which is given as,
[tex]F = \dfrac{G \times M \times M'}{R^{2}}[/tex]
Here, G is the universal gravitational constant, M is the mass of Earth and M' is the mass of Sun. And R is the distance between the Earth and Sun.
If we suppose to move farther and farther away from the Earth then the strength of gravitational pull by Earth will decrease with the increasing distance. Because the gravitational pull is inversely proportional to square of distance.
Thus, we can conclude that the Sun provides rotational motion to Earth by gravitational pull and if we get farther and farther, we will experience decreased gravitational force.
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list 10 uses of metals
Answer:
Shiny metals such as copper, silver, and gold are often used for decorative arts, jewelry, and coins.
Strong metals such as iron and metal alloys such as stainless steel are used to build structures, ships, and vehicles including cars, trains, and trucks.
Some metals have specific qualities that dictate their use. For example, copper is a good choice for wiring because it is particularly good at conducting electricity. Tungsten is used for the filaments of light bulbs because it glows white-hot without melting.
Nonmetals are plentiful and useful. These are among the most commonly used:
Oxygen, a gas, is absolutely essential to human life. Not only do we breathe it and use it for medical purposes, but we also use it as an important element in combustion.
Sulfur is valued for its medical properties and as an important ingredient in many chemical solutions. Sulfuric acid is an important tool for industry, used in batteries and manufacturing.
Chlorine is a powerful disinfectant. It is used to purify water for drinking and fill swimming pools.
Explanation:
Jenny is studying a compound that has two oxygen atoms and one nitrogen atom. Which statement describes the subscripts she will use to write the chemical formula? She will use one 2 as a subscript. She will use one 2 and one 1 as subscripts. She will use one 3 as a subscript. She will use two 2s and one 1 as subscripts.
Answer:
She will use one 2 as a subscript.
Explanation:
Nitrogen is a chemical element with the symbol "N" and has an atomic number of 7. Thus, it is found in group (5) of the periodic table and as such it has 5 electrons in its outermost shell. Therefore, nitrogen has two (5) valence electrons.
On the other hand, oxygen has an atomic number of 8 and with the symbol "O."
When nitrogen and oxygen react chemically, they produce a compound known as nitrogen dioxide [tex] NO_{2} [/tex]
In this scenario, Jenny is studying a compound that has two oxygen atoms and one nitrogen atom. Therefore, the statement which describes the subscripts she will use to write the chemical formula is, she will use one 2 as a subscript.
[tex] N + O_{2} ------> NO_{2} [/tex]
Where: 2 represents the subscript of oxygen.
Answer:
A- she will use 2 as a subscript
Explanation: because im doing the test rn and i got it right on edg2021
Your are on a boat on a lake with no current. The lake is full of sharks that will eat you if you put your hands too close to the water, and your paddle has been eaten by those sharks. However, you do have a big bucket of grapefruit in the boat. How will you get to shore? Your answer must reference Newton's third law.
Answer:
throw the lakes to make a current maybe?
Explanation:
The carbon atom with 12 protons and 12 electrons has a charge of:
a. 1 C
b. +12 C
c. -1 C
d. 0 C
e. -12 C
Answer:
Isotopes are the elements having the same atomic number i.e same number of protons which in turn is equal to same number of electrons. Number of protons and electrons are equal as the atom is electrically neutral. So, the only option is A.
I hope it helps you !
Acceleration is defined as
a.
a rate of displacement.
c.
the change in velocity.
b.
the rate of change of displacement.
d.
the rate of change of velocity.
plzzzzzzz help i need it
Answer:
1 diagram is a single element
2 diagram is a single compound
3 diagram is a mixture of element and compounds
Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N What is the acceleration of his fall?
Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall 7.5 m/sec².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
To find the acceleration,
F = mg
F = 80.(10)
F = 800 N
air resistance = 200 N
Net force = F - air resistance
= 800 - 200
= 600 N
600 = mass . acceleration
600 = 80 . acceleration
acceleration = 7.5 m/sec²
Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall 7.5 m/sec².
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explain budding (8marks)
Answer: Budding is one of the methods of asexual reproduction in organisms.
Explanation:
The asexual reproduction is the process in which new organisms are produced from the parent organism without the formation of gametes. The budding is one of the methods of asexual reproduction in which from a mature organism a bud develops as an outgrowth. The bud obtains the nutrition from the parent organism and increase in size. On maturity the bud dissociate or detach from the parent organism and lives as separate individual organism. Budding can be seen in the case of Hydra, and Yeast.
if a town was 90 miles away and you travel at 45 mph how long would it take to get there
Answer:
t = 2 hours
Explanation:
Given that,
Distance of the town, d = 90 miles
Speed, v = 45 mph
We need to find the time to get there. The speed of an object is given by :
[tex]v=\dfrac{d}{t}[/tex]
Where
t is time
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{90}{45}\\\\t=2\ h[/tex]
So, the required time is 2 hours.
White light is an _____________ mixture of all the colors.
a) observable b) unequal c) equal
Answer:
unequal
Explanation:
White light is a combination of all colors in the color spectrum.
Answer: C) equal
If you use a glass prism, you can split white light into a rainbow which shows all of the colors along a spectrum. Each little color slice is the same width. In other words, something like green doesn't dominate the spectrum and take up a wider portion compared to other colors.
find the value of x in this figure
Answer:
x=50
Explanation:
Answer:
vertically opposite angles are equal
Explanation:
so
2x+30=3x-20
2x-3x= -20-30
-1x= -50
so x is 50
as minus gets cancelled both sides.
HOPE IT HELPS YOU
PLS MARK ME BRAINLIEST
Pls answer quick will mark brainlest and 5 stars
Answer:A
Explanation:
It’s bigger I am not sure
Answer:
For the first question, the answer is
B. Kettle
After Sophia eats her body breaks down the food to use as an engery source when she runs this is an example of which type of engery conversion
Answer:
cannibalism
Explanation:
because she is eating her body!
an atom has 5 protons, 6 neutrons, and 5 electrons. what is the atomic mass?
Answer:
the atomic mass is 11
Explanation:
the atomic mass is basically how many protons and neutrons there are so for this all you have to do is some simple math:
5 + 6 = 11
and boom, ur atomic mass is equal to 11!
(V) What are the objectives of the space mission?
Explanation:
I hope this helps, I got this from another person
what is ionisation?
Answer: Ionisation is the process of an atom gets a negative or a positive charge by gaining or losing electrons. The result is an ion.
Explanation: Thats why
1. We expect a conductor to be a constant voltage throughout. The conductive surface (silver marks) is mostly a constant voltage, but sometimes you may observe a millivolts-ish difference between different points on it. What does this mean about said conductive surface?
Answer:
Answer is explained in the explanation section below.
Explanation:
If the conductor has developed the potential difference. It simply means it is charged.
A conductor can be charged in different scenarios, let's discuss some of it and try to deduce the appropriate meaning for this question.
A conductor can be charged due to ions or
A conductor can be charged if it come across any current carrying conductor, so as to gain induced emf.
So, In both of these case, both can be very reasons for its potential difference.
pls help i’ll give brainliest if you give a correct answer!!
Why can’t the high-quality energy released from a lump of burning coal be recycled?
Answer:
when energy changes from one form to another, it always goes from a more useful to a less useful form. This means that people can't recycle or reuse high quality energy to perform useful work.
When energy changes from one form to another, it always transitions from a more helpful to a less useful one. Because of this, people are unable to reuse or recycle high-quality energy to complete crucial tasks.
What is the term of burning coal?Coal is most frequently and significantly used in combustion, where heat is produced to create steam, which in turn powers the turbines that generate electricity. All living things, including humans, are composed of carbon. However, as coal burns, its oxygen reacts with airborne oxygen to generate carbon dioxide. Although dioxide (CO2) is an odourless, colourless gas, it is one of numerous gases found in the atmosphere that can retain the heat from the planet.
Why is burning coal a problem?It's a major issue for climate change since it produces more carbon dioxide when burned than oil or gas. In addition to producing microscopic soot particles and hazardous substances like arsenic and mercury, coal also contributes to air pollution.
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plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth
Answer:
a. 1/2 of the radius of earth
Explanation:
g= GM/r²thus g is inversely proportional to radius
Anyone who answer will get brainlest
Answer:
D
Explanation:
work = Force x distance
work = 2000 x 2 = 4000
power = work÷ time
4000/.8 = 5000W
Answer:
The answer is D 5000w
Explanation:
work = Force x distance
work = 2000 x 2 = 4000
power = work÷ time
4000/.8 = 5000W
convex mirror is used as a rear view mirror in vehicles why give reasons
Answer: We prefer a convex mirror as a rear-view mirror in vehicles because it gives a wider field of view, which allows the driver to see most of the traffic behind him. Convex mirrors always form a virtual, erect, and diminished image of the objects placed in front of it.
is an increase in speed in a certain time .
a. Acceleration
b. ActionReaction Pairs
c. Force
d. Inertia
It's Acceleration
We can calculate the average speed by finding the total distance traveled divided by the elapsed time: Average speed=–s=Total distanceElapsed time. Average speed = s – = Total distance Elapsed time.