a sinusoidal electromagnetic wave has rms electric field 800 n/c. what is the intensity of the wave? (c = 3.00 × 108 m/s, μ0 = 4π × 10-7 t ∙ m/a, ε0 = 8.85 × 10-12 c2/n ∙ m2)

Answers

Answer 1

The intensity of the wave is 1.92 x [tex]10^{-5[/tex] W/[tex]m^2[/tex].

The intensity (I) of an electromagnetic wave is defined as the average power per unit area that it carries.

The relationship between the intensity and the RMS electric field (E) of a sinusoidal electromagnetic wave is given by:

I = (1/2) x [tex]\epsilon_0[/tex] x c x [tex]E^2[/tex]

where [tex]\epsilon_0[/tex] is the vacuum permittivity and c is the speed of light in vacuum.

Substituting the given values, we have:

I = [tex](1/2) \times (8.85 \times 10^{-12}) \times (3.00 \times 10^8) \times (800 \times 10^{-9})^2[/tex]

I = 9.44 × [tex]10^{-5} W/m^2[/tex]

Therefore, the intensity of the wave is 9.44 × [tex]10^{-5[/tex] W/[tex]m^2[/tex]

It is important to note that the intensity of an electromagnetic wave depends on the square of the amplitude of its electric field.

Therefore, doubling the RMS electric field of the wave will result in a four-fold increase in its intensity.

Conversely, reducing the electric field amplitude by a factor of 2 will result in a reduction of the wave's intensity by a factor of 4.

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Answer 2

The intensity (I) of an electromagnetic wave is defined as the average power (P) per unit area (A) of the wave, and can be calculated using the following formula:

I = P/A

We can also express the power of an electromagnetic wave in terms of the electric field (E) and magnetic field (B) amplitudes, using the following relationship:

P = (1/2)ε0cE^2

where ε0 is the permittivity of free space, c is the speed of light, and E is the root-mean-square (rms) electric field amplitude.

Since we are given the rms electric field amplitude, we can use the above equation to calculate the power of the wave:

P = (1/2)ε0cE^2 = (1/2)(8.85 × 10^-12 c^2/n ∙ m^2)(3.00 × 10^8 m/s)(800 × 10^-9 V/m)^2 = 0.095 W/m^2

Next, we can calculate the intensity by dividing the power by the area through which the wave is passing. Since the area of a sphere of radius r is 4πr^2, and the wave is assumed to be spreading out uniformly in all directions, we can take the area to be that of a sphere with radius r = 1 meter:

A = 4πr^2 = 4π(1 m)^2 = 12.57 m^2

Therefore, the intensity of the wave is:

I = P/A = 0.095 W/m^2 ÷ 12.57 m^2 = 7.57 × 10^-3 W/m^2

So the intensity of the wave is 7.57 × 10^-3 W/m^2.

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Related Questions

Blake strikes a punching bag with 80N of force for 0.05 seconds. John strikes a
punching bag with 60N of force for 0.1 second. Who delivers a greater amount of
impulse?

Answers

Answer:

So impulse= force × timeP1= 80N× 0.05 = 4 P2= 60N × 0.1= 6 Hence John delivers a greater impulse I do exams and quizzes if your interested

What is the displacement of a car in 50 s if it is travelling with a velocity of 25 m/s?

Answers

Answer:

v =25 m/s

time= 50 s

Velocity =Displacement/Time

Displacement = Velocity × Time

S = 25×50

s=1250m

Explanation:

v =25 m/s

time= 50 s

Velocity =Displacement/Time

Displacement = Velocity × Time

A person does 15 J of work moving a couch 1.3 m. How much force was used?​

Answers

Answer:

11.53 N.

Explanation:

Work = Force * Displacement

W= 15 J

D = 1.3

And now you solve for Force.

15= 1.3F

F= 11.53 N

Alice pulls her wagon with a force of 75N. If the she pulls the wagon for 50 meters, how much work has she done?

Answers

Answer: W=75.50J

Explanation:

W=Fd

A wave hits an object as shown. A vertical line with Medium 1 to the left and Medium 2 to the right. An arrow from the left reaches the line. An arrow starts from the same point on the line and goes right at a different angle. Which kind of wave interaction is shown?

Answers

Answer:

refraction

Explanation:

When the wave moves from medium 1 to medium 2, then the wave gets refracted. Then the correct option is C.

What is the wave?

A wave is an energetic disturbance in a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are a few examples.

A wave is a dynamic disturbance of one or more variables that propagates in physics, geometry, and related sciences. When waves oscillate frequently around an equilibrium value at a certain frequency, they are said to be periodic.

The bending of waves as they go from one substance to another is known as wave refraction. It bends when the wave enters a new material because the wave's speed changes. The optical density or index of refraction of the material affects how light waves bend.

Thus, the correct option is C.

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The missing options are given below.

absorption

diffraction

refraction

reflection

Which type of protist is animal AND plant like?

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Answer:

Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.

Explanation:

Will clothes dry faster when they are folded or when they are not folded on the line?

Answers

Answer:

Not folded

Explanation:

not folded on the line

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Answer:

they are;at first its teamwork,then agility and quick thinking

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Answer:

1. the attractive force that holds atoms or ions together

2. the average distance between the nucleus of two bonded atoms

3. the angle formed by two bonds to the same atom

True or False:
Sensations of heaviness and lightness are always associated with changes in a person's weight. A person who feels light has lost weight and a person who feels heavy has gained weight.

If False, explain why the statement is false.

If True, explain why the statement is true.

Answers

False, you can feel heavy but not gain weight

It's not true, no. The weight can be used to calculate an object's product of mass, but not gravity. The object's mass is multiplied by gravity, as is evident. However, an object's mass will never be 0 and will always be constant, its weight would be zero if there is no gravity. Since mass and weight are not the same, the assertion is untrue.

What is Weight?

Weight is the gravitational pull of a large second object, thus the Moon or the Earth, at the first object. Weight is a result of the universal law of gravity, according to which any two objects will gravitationally pull one another with a force exactly equal to the applied of their masses and divided by the square of a distance separating them.

Because of this, larger items naturally weigh more when placed in the same spot; yet, the farther any object seems to be from the Earth, the less weight it has.

Because of the tiny difference in size between the polar and equatorial radii of the Earth, an object's weight at the South Pole is somewhat higher than its value at the Equator.

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Will mark as brainliest !! plz answer it

Plzzz answer with explnation!!!

the value of acceleration due to gravity (g) will be maximum at:
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I answered first on your other comment!

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Ice at -25
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May God bless you and your family

Mary takes a trip to California for her vacation. Her airplane leaves Boston and flies 3,000 miles west, arriving in San Francisco 6 hours later. What was the plane’s velocity? Calculate and include proper units!

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Answer:

two hr lead =90 miles

90/15=6hrs

2+6=8pm

Explanation:



The seed planted at extreme cold or in the region of frozen ice do not germinate, why?​

Answers

Answer:

yes

The the seed planted at Extreme cold or in the region of frozen I did not germinate because the amount of moisture of the seed is too high which results in lack of air of the sea in the frozen ice

In fact, a soil temperature below 50°F might be problematic for many garden plants. Seeds will quickly absorb water at 40°C, but they won't begin to grow. This presents a risk for rot and disease, which may cause damping-off or subpar growth.

What is germination of seed?

The formation of the seedling is the consequence of germination, which is often the growth of a plant inside a seed. It is also the process of the seed's metabolic machinery being reactivated, which causes the radicle and plumule to emerge. A vascular plant's seed is a little bundle that develops in a fruit or cone as the result of the union of the male and female reproductive cells.

Given the need for particular internal or external stimuli to resume growth, dormant seeds are viable seeds that do not germinate. When the right circumstances are present, the seed starts to germinate and the embryo starts to grow again, eventually becoming a seedling.

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Solve this question I don't get it

Answers

Answer:

idek

Explanation:

Assignments
1. A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N
frictional force. He pushes in a direction 25.0" below the horizontal. (a) What is the work done
on the cart by friction? (b) What is the work done on the cart by the gravitational force? (c)
What is the work done on the cart by the shopper? (d) Find the force the shopper exerts, using
energy considerations. (e) What is the total work done on the cart?​

Answers

Hello there!

I hope you and your family are staying safe and healthy during this unprecendented time.

A) What is the work done?

Answer: We need to use the formula

[tex]w=-F_f(d)[/tex]

[tex]w=-(35)(20)[/tex]

[tex]w=-700J[/tex]

B) What is the work done on the cart by the gravitational force?  

Alright, we know that the gravitional force is perpendicular to the diplacement. Therefore, we gonna use the following formula:

[tex]w=Fdcos90[/tex]

[tex]w=0[/tex]

C) What is the work done on the cart by the shopper?

This is the easier part, since we already know that the work done by the shopper is the same as the work done by the friction force

[tex]W shopper + W friction = 0\\W shopper = W-friction \\W shopper = 700J[/tex]

D) Find the force the shopper exerts, using energy considerations.

[tex]F_f+Fcos25=0\\-35+Fcos25=0\\F=38.6N[/tex]

E) What is the total work done?

You just need to add them:

[tex]w=wshopper+wfriction\\w=0[/tex]

Mr. Rosa sees a random flying object headed towards his student’s face. He sprints at 13 m/s in 2 seconds. How fast did Mr. Rosa accelerate to save his student?
What is your known?
What is your unknown?
Plug it in.
What is your answer?

Answers

Answer:

13m/s

Explanation:

actually the answer is already given the thing which is not given is the distance which is 26 m which Mr Rosa walked it in 2 secs

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please mark me as brainlist

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this is in order.

LANDFILL

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how does a longshore current affect a beach?

Answers

Longshore currents are affected by the velocity and angle of a wave. When a wave breaks at a more acute (steep) angle on a beach, encounters a steeper beach slope, or is very high, longshore currents increase in velocity. ... This process, known as “longshore drift,” can cause significant beach erosion.

Answer:

"Longshore currents are affected by the velocity and angle of a wave. When a wave breaks at a more acute (steep) angle on a beach, encounters a steeper beach slope, or is very high, longshore currents increase in velocity. ... This process, known as “longshore drift,” can cause significant beach erosion."

Credits to ocean service

Explanation:

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A block of mass 0.5kg is pulled to the right with an applied force 3N at an angle 30 degrees above horizontal as shown. Ignoring friction, the acceleration of the block is...
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C. 5.2
D. 6​

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The answer is C, 5.2

Physics mcq please be sure​

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Answer:

1. c 2.d

Explanation:

we did this in middle school

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45 degrees
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D. 90 degrees

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Answer:

D. 90 degrees

Explanation:

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work out

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Answers

Explanation:

force/area=pressure

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area=0.2*500

pressure=200/100=2

Which of the following is a variable property for a gas? Select all that apply.

shape
mass
volume
density

Answers

Answer:

volume

Explanation:

mass density and shape are not variable to my view.

pressure volume

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The biological levels of organization range from a single organelle all the way up to the biosphere in a highly structured hierarchy. Your lab partner is struggling to understand the interaction between the levels in the biological hierarchy. Using the model, what explanations can your offer to help your classmate? Choose ALL that apply.
A) R makes up Q which makes up P which makes up S.
B) Cells that work together make up tissues, which comprise organs.
C) Similar cells working together make up organs which make up organ systems.
D) In the model, the animal cells make up tissues such as muscle or connective tissue.
E) Organs, such as the stomach and intestines, make up organ systems which interact with one another to maintain homeostasis.

Answers

The model that depicts the concept of biological levels of an organization which is ranging from single organelle to biosphere is explained by all the options given except for options A and C.  

Biology is specifically the study that deals with various forms of life. Since life is considered a vast topic, scientists classified this broad system into different organizational levels for better understanding.

The Biological levels of the organization are described as follows:  

The biological level of organization of any living form is depicted and arranged from the simplest forms to the complex ones and thus, the order tends to start from organelles to the biosphere. The elaborated levels are in ascending order as organelles, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere respectively. Each level tends to combine with one another to give rise to the next level. One such example is that the cells that tend to work together make up the tissues, which further comprise the organs. Similarly, organ systems are formed by the interaction between certain organs in order to maintain homeostasis.

Considering all these facts, option C represents the statement that is incorrect as the cells cannot directly form organs without forming tissues and the letters in option A is not specific. And thus, we can conclude that except for options A and C, all the other options correctly depict the model of the Biological levels of the organization.

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What characteristic is necessary for the uranium in a nuclear reactor?

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Answer:

U-235

Explanation:

a rare needed compound

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Put the largest as far up as you can, and the smallest as far down as you can

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Answer:

thanks me later

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What are the half lives for uranium-235 and uranium-238?
a.
The half-life of uranium-235 is 713 seconds, the half-life of uranium-238 is 4.5 minutes
c.
The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years
b.
The half-life of uranium-235 is 713 days, the half-life of uranium-238 is 450 days
d.
None of the above

Answers

Answer:

C. The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years

what different forms of energy are demonstrated by tv remote, flashlight, string lol ights, clock, and Toys​

Answers

Answer:

I hope it helps you

Explanation:

please mark me as brainllest answer please

An instant soup is very low in fat and calories but high in sodium. Can this food be labeled “ healthy”?

Answers

Answer:

no

Explanation:

it is not healthy because sodium is not good to our body

No it is not healthy.

The following information should be considered:

The instant soup is the processed food and it have the expire time of about 6 months.If we make the soup homemade than it will be okay for only 1 or 2 foods. Also it is high in sodium.

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