The expression for the electric field E is determined as [tex]-j(6\pi \times 10^{-4})e^{(-10z)} cos(2\pi \times 10^{8t} - 12z) y\bar\ \ (V/m)[/tex]
What is the expression for the electric field?The electric field E and the magnetic field H of a plane wave are related by the following equations;
E = -jωμH / k
H = jωεE / k
where;
ω is the angular frequencyμ is the permeabilityε is the permittivityk is the wave vector j is the imaginary unitThe magnetic field is given by;
[tex]H = \bar y 60e^{(-10z)} cos(2\pi \times 10^{8t} - 12z) \ (mA/m)[/tex]
To obtain the corresponding expression for the electric field, we will use the first equation;
E = -jωμH / k
where;
ω = 2πfThe wave vector k is given by;
k = ω √(με)
k = ω / c √ε
where;
c is the speed of light in vacuumIn a nonmagnetic medium, μ = μ0, so k = ω / c √ε.
E = -jωμ0H / (ω / c √ε)
= -jμ0c√εH
[tex]= -j(4\pi × 10^{-7})(3 \times 10^8)\sqrt{ (8.85 \times 10^{-12})}y\bar 60e^{(-10z)} cos(2\pi \times 10^{8t} - 12z) \ (V/m)\\\\= -j(6\pi \times 10^{-4})e^{(-10z)} cos(2\pi \times 10^{8t} - 12z) y\bar\ \ (V/m)[/tex]
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Calculate the amount of charge necessary to exert a force of 35 N in an electric field of 300 N/C.
Question 6 options:
A. 0.117 C
B. 1.17 C
C. 2.12 N/C
D. 0.21 N/C
Answer:
The amount of charge is "0.117 C" i.e., option A.
Explanation:
The given values are:
Force,
[tex]\vec{F}[/tex] = 35 N
Electric field,
[tex]\vec{E}[/tex] = 300 N/C
Charge,
q = ?
As we know,
⇒ [tex]\vec{F}=q\vec{E}[/tex]
On substituting the given values in the above formula, we get
⇒ [tex]35=q\times 300[/tex]
⇒ [tex]q=\frac{35}{300}[/tex]
⇒ [tex]q=0.117 \ C[/tex]
All living things are closely related to their _______________________. Any change in one part of an environment causes a __________________________________________________
All living things are closely related to their environment. Any change in one part of an environment causes a stimulus.
What is an Environment?All living or non-living objects that occur naturally, or in this example, without the use of artificial means, are included in the natural surroundings or natural world. The phrase is most frequently used with reference to Earth or certain regions of it.
An environment encompasses all that surrounds us, including both living and dead objects like water, soil, plants, and animals that can adapt to their environment. The gift of nature is what sustains life on Earth.
Environment can be summed up as the effects of every one of the living or non-living things that have an impact on human life. Non-living or abiotic elements include water, land, sunshine, rocks, and air, whereas all live or biotic components are animals, plants, forests, fisheries, and birds.
Thus, all living things are closely related to their environment. Any change in one part of an environment causes a stimulus.
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pls help i’ll give brainliest if you give a correct answer!!
Answer:
D
Explanation:
The bowling ball has a greater mass, so there's more stuff for gravity to act on. In that sense, gravity is pulling on it more. But it still doesn't fall any faster
Answer:
D: The acceleration of the gold ball will be greater than that of the bowling ball.
Hopefully this is right
Explanation:
The ball is lighter and bowling ball is heavy
Describe each part of the scentific method explain why it is important to follwo this structure when conducting a scietifc investigation
Answer:
Asking a question
Research existing sources
Define an hypothesis
Design and conduct a study
Draw conclusion
Report result.
Explanation:
Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;
Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.
The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.
To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.
Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.
Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.
A line with a negative slope on a distance-time graph means the object is?
Answer:negative slope or gradient I think
Explanation:
I REALLY NEED HELP THIS IS DUE IN AN HOUR
A person records a bird call as an analog wave. The sound is then stored on a computer as a digital signal. When a person wants to listen to the bird call, it needs to be converted back into an analog wave. What is an advantage of storing the bird call as a digital?
Answer:
In analog technology, a wave is recorded or used in its original form. In digital technology, the analog wave is sampled at some interval, and then turned into numbers that are stored in the digital device. On a CD, the sampling rate is 44,000 samples per second. An analog recording is considered unlimited. Therefore, it can move to a higher and higher resolution without losing its original quality.
Alli was in the park playing on the equipment. she noticed that on the highest slide she slides down
Explanation:
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Alli was in the park playing on the equipment. She noticed that on the highest slide, she slides down with the greatest speed. The correct option is C.
What is the relation between height and speed?Height is the measurement of someone or something from head to foot or from base to top.
The curved slide is the fastest, despite being longer than the other circuits. This is due to the fact that it is steeper at first, leading the ball to be more affected by gravity and accelerate more quickly before reaching its top speed.
When two items rub against one another, as a slide and a person's bottom, friction is created. A slide would accelerate the rider too quickly without friction, possibly injuring them. Various substances known as lubricants can lessen the impact of friction.
Therefore, the correct option is C) With the greatest speed.
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The question is incomplete. Your most probably complete question is given below:
A) Without friction
B) with the slowest speed
C) With the greatest speed
D) with the same speed as the shortest slide
When the comet passes close to the sun, it has a visible tail. Typically, the comet is only visible for a matter of days while it may be invisible for years. Why does the comet spend so little time close to the sun?
Answer:
The comet is locked in the Sun's gravity. as it falls deeper in the gravity we'll, its velocity increases. As is travels closer to the Sun, it is trying to break away, but cannot. This transforms into a sideways movement that produces a tight turn. It races further out of the gravity well, and sheds velocity.
How many electrons would be needed to give a cobalt atom (that has 27 protons and 28 neutrons) a net charge of zero?
Answer:
The answer would be 123
Plzzz help. Will give branliest.
Why should experiments be replicable?
A. So that the materials used can be validated.
B. So that scientists can gain popularity in the community.
C. So that fewer errors will be made and the data appear to be more correct.
D. So that others can repeat experiment and obtain similar results.
D. So the scientists can repeat the same experiment and get the same or similar results.
Answer:
C
Explanation:
What’s the answer please?
Answer:
C
Explanation:
Hope this helps!
Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.
Answer:
El peso es de 882 newton.
Explicación:
El helicóptero se detiene a la altura en la que volaba para dejar caer una caja de 90 kg al suelo, el peso de la caja llega hasta los 882 Newton porque el peso es una fuerza dirigida hacia el centro de la tierra y depende de la gravedad. La fórmula del peso es multiplicar la masa por la gravedad, de modo que cuando se multiplican 90 kg de masa por 9,8 metros / seg2, obtenemos el peso del objeto que es 882 newton.
The greater the mass of an object.
Answer:
Mass is the measure of an object's matter (what it's made up of). The greater an object's mass, the greater its gravitational force. The earth has a strong attracting force for objects with smaller mass (including the moon), and the sun has an attracting force on the earth and other planets in our solar system.
A bus negotiates a curve of radius 487 m. What force will be exerted on an 80 kg passenger by the outside wall of the bus when it is traveling at 60 km/h?
Answer:
Centrifugal Force = 45.65N
Explanation:
Given the following data;
Mass, m = 80kg
Radius = 487m
Velocity = 60km/h to m/s = 60*1000/3600 = 16.67m/s
To find the centrifugal force;
Centrifugal Force = mv²/r
Substituting into the equation, we have;
Centrifugal Force = 80*16.67²/487
Centrifugal Force = 80*277.89/487
Centrifugal Force = 2223.12/487
Centrifugal Force = 45.65N
disordered eating is often __________.
A.
an eating disorder that affects numerous teens
B.
caused by eating irregularly over short periods
C.
a precursor for developing a disorder, but not a disorder on its own
Answer:
B) caused by eating irregularly over short periods
Explanation:
Disordered eating refers to a range of irregular and unhealthy eating behaviors and attitudes toward food. Disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own
Disordered eating refers to a range of irregular eating behaviors and attitudes towards food that may not meet the full diagnostic criteria for an eating disorder but still involve disturbances in eating patterns, body image, and weight. It can include behaviors such as restrictive eating, binge eating, purging, or excessive exercise.
While disordered eating shares similarities with eating disorders, it is considered a precursor or warning sign that someone may be at risk of developing a diagnosable eating disorder, such as anorexia nervosa, bulimia nervosa, or binge eating disorder. Disordered eating patterns can often progress and become more severe if left untreated, potentially leading to the development of an eating disorder.
Thereofre, disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own.
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Which planet has the least gravitational pull?
Answer:
Mercury
Explanation:
3.Minsoo is training for cross-country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west. Draw and label the vectors that show each segment of his trip and the resultant displacement vector. Find his resultant displacement. (10 points)
Answer:
...............................
Round off to the nearest one (units place):
(a) 57.326 57.000
(b) 8.808
(c) 290.752
(d) 1394.301
(e) 434.28
Answer:
a
Explanation:
Answer:
(a) 57
(b) 9
(c) 291
(d) 1394
(e) 434
What is the name of the relationship between period and frequency?
Answer:
Periodic motion is a repetitious oscillation.
Explanation:
The time for one oscillation is the period T. The number of oscillations per unit time is the frequency f. These quantities are related by f=1T f = 1 T .
Question 29 of 43
Which is true of infrared waves?
They have shorter wavelengths than X-rays.
They give off more energy than gamma rays.
Ο Ο Ο Ο
o They have longer wavelengths than ultraviolet waves.
They have higher frequencies than visible light waves
Infrared wave basically have shorter wavelengths than X-rays. The correct option is A.
What is infrared wave?A section of the electromagnetic radiation spectrum with wavelengths ranging from roughly 700 nanometers (nm) to one millimetre is known as infrared radiation (IR), or simply infrared (mm).
While shorter than radio waves, infrared waves are longer than visible light waves.
Infrared radiation has the ability to ease muscle tension and encourage local blood circulation.
Infrared radiation has been used in conventional medicine to treat conditions including autoimmune diseases and issues with wound healing in addition to relieving muscle pain and tension.
Infrared waves are shorter than radio waves but longer than visible light waves.
Thus, the correct option is A.
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difference between the fertility rate and mortality rate of developed and least development countries
3/3 points.
Answer:
The replacement fertility rate is indeed only slightly above 2.0 births per woman for most industrialized countries (2.075 in the UK, for example), but ranges from 2.5 to 3.3 in developing countries because of higher mortality rates, especially child mortality. pls give brainlest
1. Choose the statement that does not accurately describe observations
Answer:What are the statements?
Explanation:
Answer:
obtuse, oblique, unaware, over stimulate, distracted, undrewhelmed...
mineral salt compounds (calcium chloride, table salt)
Answer:
Chloride and Salt
Explanation:
that make up table salt, a.k.a. sodium chloride (NaCl). ... As sodium chloride (NaCl) or calcium chloride (CaCl2) dissolve in water, ... the compound formed when a positive ion combines with a negative ion out of solution, but ... waters may have more if there is weathering or leaching from nearby mineral-rich soils and rocks.
What is the kinetic energy of the ball as it is half way through the fall?
An 12 kg object accelerating from 9 m/s to 14 m/s. What is the change in momentum of the object?
Answer:
Change in momentum = 60kgm/s.
Explanation:
Given the following data;
Mass, m = 12kg
Initial velocity, u = 9m/s
Final velocity, v = 14m/s
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
[tex] Momentum = mass * velocity [/tex]
To find the change in momentum;
Mathematically, change in momentum is given by the formula
[tex] Change \; in \; momentum = m(v - u) [/tex]
Substituting into the equation, we have;
[tex] Change \; in \; momentum = 12(14 - 9) [/tex]
[tex] Change \; in \; momentum = 12*5[/tex]
Change in momentum = 60kgm/s.
Why is it that a car traveling in the opposite direction as the car in which you are riding on the freeway often looks like it is moving faster than the speed limit?
a golf club is swung and strikes a golf ball with a force of 12.2 N. The golf ball accelerates at 265.2 m/s2. Calculate the mass of the golf ball. Show your work and include the correct unit.
Answer:
[tex]0.046\ kg[/tex]
Explanation:
[tex]We\ are\ given\ that,\\Acceleration\ produced\ on\ the\ golf\ ball\ due\ to\ Force\ exerted=265.2\ m/s^2\\Magnitude\ of\ the\ Force\ exerted\ over\ the\ Golf-Ball=12.2\ N\\We\ know\ that,\\'The\ force\ acting\ on\ an\ object\ is\ equivalent\ to\ the\ product\ of\ it's\ mass\\ and\ the\ acceleration\ produced'.\\Or,\\F=ma\\Let\ the\ mass\ of\ the\ golf\ ball\ be\ m,\\Hence,\\12.2=265.2\ m\\m=\frac{12.2}{265.2}=0.046\ kg[/tex]
What is the current in a circuit that has a resistance of 75Ω and a voltage drop of 120V across the cell? (I'll give brainliest!)
Resistance = (voltage) divided by (current)
= (120 V) / (0.5 Amp)
= 240 ohms .
The structure of an atom consists of
A. a proton surrounded by neutrons
B. a nucleus surrounded by electrons
C. a nucleus containing protons and electrons
D. a "cloud" of protons, electrons, and neutrons
Answer:
the correct answer is C
Explanation:
a nucleus of atom is contain protons and electrons
How much mass can be lifted by a weight lifter on the surface of the moon if he can lift 100 kg on the Earth?
Answer:
if u have to find mass then it always constant everywhere that is 100kg but if u have to find weight then it 1/6 of earth .
Explanation:
16.6666