A circular loop of wire 75 mm in radius carries a current of 113 A. Find the (a) magnetic field strength and (b) energy density at the center of the loop.

Answers

Answer 1

The magnetic field strength is 9.47 ×10⁻⁴ T

The energy density at the center of the loop is 0.36 J/m³

Calculating Magnetic field strength & Energy density

From the question, we are to find the magnetic field strength

The magnetic field strength of a loop can be calculated by using the formula,

[tex]B = \frac{\mu_{0} I}{2R}[/tex]

Where  B is the magnetic field strength

[tex]\mu_{0}[/tex] is the permeability of free space [tex](\mu_{0}=4\pi \times 10^{-7} \ N/A^{2})[/tex]

[tex]I[/tex] is the current

and R is the radius

From the give information,

[tex]R = 75 \ mm= 75 \times 10^{-3} \ m[/tex]

and [tex]I = 113 \ A[/tex]

Putting the parameters into the formula, we get

[tex]B = \frac{4\pi \times 10^{-7} \times 113}{2 \times 75 \times 10^{-3} }[/tex]

[tex]B = 9.47 \times 10^{-4} \ T[/tex]

Hence, the magnetic field strength is 9.47 ×10⁻⁴ T

Now, for the energy density

Energy density can be calculated by using the formula,

[tex]u_{B} = \frac{B^{2} }{2\mu_{0} }[/tex]

Where [tex]u_{B}[/tex] is the energy density

Then,

[tex]u_{B}= \frac{(9.47\times 10^{-4} )^{2} }{2 \times 4\pi \times 10^{-7} }[/tex]

[tex]u_{B} = 0.36 \ J/m^{3}[/tex]

Hence, the energy density at the center of the loop is 0.36 J/m³

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Related Questions

You wish to design an anti-reflection coating optimized for a particular wavelength of light. For that wavelength, you want thin-film interference that is

Answers

Answer:

destructive i.e. colour of light wont reflect from  film

Explanation:

An anti-reflection (AR) coating needs to have zero reflectance in air for light with a wavelength equal to four times the coating thickness.

What is meant by anti-reflection coating ?

Lens surfaces, other optical components, and photovoltaic cells can all benefit from an anti-reflection (AR) coating, which is a form of optical coating used to reduce the reflection.

Here,

Anti-reflective coatings are utilised in a wide range of applications where it is desirable to have low loss or low reflection of light as it travels through an optical surface.

The simplest interference anti-reflective coating consists of a single, extremely thin layer of transparent material with a refractive index equal to the square root of the substrate's refractive index. A coating of this type should theoretically have zero reflectance in air for light with a wavelength (inside the coating) equal to four times the coating thickness. For wavelengths in a wide band around the centre, reflection is similarly reduced. A "quarter-wave layer" is a layer that has a thickness equal to one-fourth of a design wavelength.

Hence,

An anti-reflection (AR) coating needs to have zero reflectance in air for light with a wavelength equal to four times the coating thickness.

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Iron man crashes into a parked car with a force of 8,000 newtons, resulting in a acceleration of 1.14 m/s. if the car has a mass of 1000 kg what is the coefficient of kinetic friction between the car tires and the road?

Answers

Answer:

0.8

Explanation:

F=uR

F=8,000N

R= 1000*10=10000

u=F/R

u= 8000/10000

u=0.8

An electron initially at rest recoils after a head-on collision with a 6.2-keV photon. Determine the kinetic energy acquired by the electron.

Answers

The kinetic energy of the electron after the head collision with the photon will be 9.93 x 10⁻¹⁶ J.

Kinetic energy of the electron

The kinetic energy of the electron is calculated as follows;

K.E = qV

where;

q is charge of electronV is potential energy of the electron1 eV = 1.602 x 10⁻¹⁹ J

K.E = 6.2 x (10³) x 1.602 x 10⁻¹⁹ J

K.E = 9.93 x 10⁻¹⁶ J

Thus, based on the principle of conservation of energy, the kinetic energy of the electron after the head collision with the photon will be 9.93 x 10⁻¹⁶ J.

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Explain Kepler's Third Law of Planetary Motion

Answers

Answer:

The squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of their orbits. Kepler's Third Law implies that the period for a planet to orbit the Sun increases rapidly with the radius of its orbit.

Explanation:

In the first direct detection of gravitational waves by ligo in 2015, the waves came from.

Answers

In the first direct detection of gravitational waves by LIGO, the waves came from the merger of two black holes.

What is a Wave?

This is defined as propagation of disturbances from place to place in an organized manner.

In 2015,  Laser Interferometer Gravitational-Wave Observatory(LIGO) observed gravitational waves which was a result of merger of two black holes and lasted fraction of a second.

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Jack pulls a car up a hill. Jack does 405J of work on the car. If Jack walks 15m up the hill,
how large of a force must he exert.

Answers

Answer:

27N

Explanation: workdone = force * distance

         Hence Force= workdone/distance

                               = 405/15

                               = 27N

How should xander describe the reflection? the reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle. the reflection of the candle in the convex mirror formed an upside-down real image that is smaller than the candle. the reflection of the candle in the concave mirror formed an upside-down virtual image that is smaller than the candle. the reflection of the candle in the convex mirror formed an upside-down virtual image that is smaller than the candle.

Answers

The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.

The characteristics of images formed in a mirror

The mirror is an optic device that can either be plane or curved that produces an image through the law of reflection.

There are three main types of mirror which includes:

Plain mirrors,

concave mirrors and

convex mirrors.

The characteristics of the image formed by the concave mirror depends on the distance of the object from the mirror and it include the following:

It can produce both real and virtual images;

they can be upright (if virtual) or inverted (if real);

they can be behind the mirror (if virtual) or in front of the mirror (if real);

they can also be enlarged, reduced, or the same size as object.

Therefore, the reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.

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Answer:

A: The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.

Explanation:

quick and simple

What is the energy of a photon with a frequency of 3. 6 × 1015 hz? planck’s constant is 6. 63 × 10–34 j•s.

Answers

Answer:

2.029×10^-18 J

Explanation:

E=hv

so

E=(3.06×10^15)*(6.63×10^-34)

E=2.029×10^-18 J

A box is pushed 7 m to the left in 3 s. What is the block's average speed to the

nearest tenth?


2. 33 m/s

0. 43 m/s

2. 3 m/s

0. 4 m/s

Answers

Answer:

2.3 m/s

Explanation:

Speed is  measured in m/s

7 m / 3 s =   2.3 m/s   ( to the nearest tenth)

The average speed of block is 2.33 m/s.

What is the relation between Speed, Distance and Time?Speed is distance travelled by time.Therefore Speed = Distance / TimeS = D / T

How to calculate the average speed of the box?The distance travelled by a box is 7 m.A box is travelling 7 m for 3 second.

So, from the formula,

                       ∴  S = D / T

                       ∴  S = 7  / 3

                       ∴  S = 2.333 m/s

To the nearest tenth, S = 2.3 m/s.

Thus, The average speed of block is 2.33 m/s.

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26) An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is A) towards the north. B) towards the south. C) towards the west. D) upward. E) downward.

Answers

Answer: A

Explanation:

There is one important fact about magnetic fields. Magnetic fields are always perpendicular to the velocity of the particle, and the force acting on the particle. This is evident in the Lorentz force equation for magnetic fields, which states:

[tex]F=q(v x B)[/tex]

The cross product between between the velocity and the magentic field forms a force vector that is perpendicular to both the velocity and the field. In our example, the electron is traveling to the left, and the force it feels is upwards. One thing to keep in mind now, is that the Lorentz force equation is for positively charged particles. Therefore, whatever result we obtain for the field, it is actually the opposite since our particle is negatively charged.

Point your thumb in the direction of the velocity, and point your palm in the direction of the force. Your fingers should be pointing towards yourself (the south). This would be correct for positive charges, but it is the opposite for negative charges. The magnetic field points away from your body, which is the north.

If bamboo, which can grow 88 cm in a day, is grown for five days and then used to make a simple pendulum, what will be the pendulum’s period?

Answers

Answer: 3.766 seconds

Explanation:

[tex]$$ Total length of bamboo $=4 \times 88 \mathrm{~cm}=352 \mathrm{~cm}=3.52 \mathrm{~m}$\\Pendulum's period $=2 \pi \sqrt{\frac{L}{g}}\\ $=2\pi \sqrt{\frac{3.52}{9.8}} \\=3.766 \mathrm{sec}$$[/tex]

a 3 m long ladder leans against a frictionless wall at an angle of 60 degrees what is the minimum value of the coefficinet of static friction twith the ground that prevents the ladder from slipping

Answers

For a 3 m long ladder leaning against a frictionless wall, the minimum value of the coefficient of static friction is mathematically given as

mu=0.2886

What is the minimum value of the coefficient of static friction with the ground that prevents the ladder from slipping?

Generally, the equation for the Force  is mathematically given as[tex]-\mu N_{1}+N_{2}=0[/tex]

Therefore

[tex]\mu=\frac{1}{2}tan\theta[/tex]

[tex]\mu=\frac{1}{2}tan30^{0}[/tex]

mu=0.2886

In conclusion, the minimum value of the coefficient of static friction

mu=0.2886

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If a bug with a mass of 5 grams flies into the windshield of a moving 1000 kg bus, which will have the most force?

A. The bug on the bus
B. The bus on the bug

Answers

Both will have equal forces because the force exerted on the bus will be equal to the force experienced by the bug.

Newton's third law of motion

Newton's third law of motion states that action and reaction are equal and opposite.

This implies that, the force exerted on an object is equal to the reaction experienced by the object.

Fa = -Fb

The force exerted on the bus will be equal to the force experienced by the bug.

Thus, both will have equal forces.

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Read solar basics and use the information to answer the question. what factors affect the amount of solar energy that reaches the earth’s surface?

Answers

Explanation: The amount of solar energy available varies by location on earth, the time of the day at that location, the season and weather conditions. Rain, fog, and clouds will lower the amount of solar power available to gather and there are fewer hours of sun available in different seasons (winter for North America). To gather solar power, you also need a large area. This can be lessened by conditions such as snow, so that even on a sunny day, covered panels will collect less energy.

Answer:

.

Explanation:

The quantity of solar energy accessible varies by location on the planet, time of day, season, and weather conditions. Rain, fog, and clouds reduce the quantity of solar power available for collection, and various seasons have less hours of sunlight accessible (winter for North America). A big region is also required to collect solar electricity. Conditions such as snow can reduce this, such that even on a sunny day, covered panels will absorb less energy.

Suppose that a spaceship is launched in the year 2120 on a round-trip journey to a star that is 100 light-years away, and it makes the entire trip at a speed of 99.99% of the speed of light. Approximately what year would it be on Earth when the ship returns to Earth

Answers

After completion of the trip described in the question, it would be the year 2320 on Earth.

Why would it be the year 2320?

This has to do with the way light-years are described. A light-year is in fact not a measurement of time, but of distance. It is how far you would travel in one year if traveling at the speed of light. So since the star is 100 light-years away, it would take 100 Earth years to get there and then 100 more to get back, making the current Earth year 2320.

Therefore, we can confirm that after completion of the trip described in the question, it would be the year 2320 on Earth.

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Two speakers, A and B, produce identical sound waves. A listener is 3.20 m from speaker A. The listener finds the lowest frequency that creates constructive interference at his location is 72.4 Hz. How far away is he from speaker B? WILL MARK BRAINLIEST

Answers

Answer:    7.94

7.94

Explanation: i got u

Two speakers, A and B, produce identical sound waves. A listener is 3.20 m from speaker A. The listener is  2.367 meters away from speaker B.

The distance between a listener and a speaker for constructive interference is given by:

Distance = (m × λ) ÷ 2

The speed of the sound is given by:

v = f × λ

Where:

v is the speed of sound

f is the frequency (72.4 Hz)

The wavelength obtained is:

λ = v ÷ f

λ = 343 ÷ 72.4

λ = 4.734 m

Since the listener is experiencing constructive interference, the order of interference (m) is likely 1:

Distance = (m × λ) ÷ 2

Distance = (1 × 4.734) ÷ 2

Distance = 2.367 m

Therefore, the listener is  2.367 meters away from speaker B.

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1. What type of wave is sound? Does sound need a medium (substance) to travel through?
2. What are the properties of sound waves?

Answers

Answer:

1. What type of wave is sound?

2.Does sound need a medium to travel through?

3. What are the properties of sound waves?

Explanation:

1. The type of waves sound are is mechanical waves.


2. Sound needs a solid, liquid or gas (material medium) to travel through.


3. I believe they are wavelength, amplitude, frequency, time period and velocity. 


I apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

why dull objects heat up faster than shiny objects......answer should not be from gooooggglee​

Answers

Answer:

Shiny objects don't absorb heat as well as dull objects. Shiny objects reflect heat or they reflect more heat then absorb it. So the heat thats being hit on a shiny object is being reflected instead of being absorbed. Dull objects are better at aborbing heat. So that makes dull objects heat up faster than shiny objects, since shiny reflects more and dull doesn't as much.

Explanation:

I hope it helps! Have a great day!

pan~

A swimmer swims the 400 meter freestyle in 5 minutes,
What is his speed?
A. 80 m/min
B. 0.01 m/min
C. 2000 m/min

Answers

Answer:

A

Explanation:

SPEED = DISTANCE/TIME

Therefore:-

Speed = 400 m /5 min

Speed = 80m/min

So 80 + 80 + 80 + 80 + 80 = 400 you can multiply to 5x80 = 400

Describe the composition of humus and why it is an effective organic fertilizer



Its actually science but that’s not an option

Answers

Answer:

soil additive

Explanation:

Soil Additive

The three main components of humus are fulvic acid, humic acid and humin. The spongy nature of humus helps it to trap and hold water, this particular property also helps to aerate the soil as humus expands and contracts with available water.

Albert bandura emphasized the idea of __________, which is the belief one has in one’s own ability to succeed. a. operant conditioning b. determinism c. self-efficacy d. self-worth please select the best answer from the choices provided a b c d

Answers

Albert bandura emphasized the idea of self-efficacy which is the belief one has in one’s own ability to succeed

What is self-efficacy?

Self-efficacy is a person’s belief in their ability to succeed in a particular situation. Psychologist Albert Bandura described these beliefs as determinants of how people think, behave, and feel.

Self-efficacy can play a role in not only how you feel about yourself, but whether or not you successfully achieve your goals in life. The concept of self-efficacy is central to Albert Bandura’s social cognitive theory,

which emphasizes the role of observational learning, social experience, and reciprocal determinism in developing a personality.

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An object is placed 25 cm in front of a convex lens. If the focal length of the lens is
15 cm, what are the general properties of the image seen compared to the object?
O
upright, real, smaller
O
upright, real, larger
O
inverted, real, larger
O
inverted, virtual, smaller

Answers

From our knowledge of the lense formula, the image formed is upright, real, smaller.

What is a lens?

A lens refers to any refracting surface. Now we are told that the object distnce is 25 cm and the focal length is 15 cm.

Using the lens formula;

1/f = 1/v + 1/u

1/v = 1/f - 1/u

1/v = 1/15 - 1/25

1/v = 25 +  15 /375

v = 375/40

v = 9 cm

Hence, the image formed is upright, real, smaller.

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THE RESPIRATORY SYSTEM - 1/3

1. Astyanax wants to study oxygen exchange that occurs in the capillaries. Which form of oxygen would he study?

diffusion
bulk exchange
aspiration
ventilation

2. Which system works in collaboration with the respiratory system to transport oxygen to the cells that require it?

nervous
integumentary
lymphatic and immune
circulatory

3. Delilah is having a sneezing fit, expelling large quantities of mucous. What did the mucous drain from before it was expelled by the sneeze?

sinuses
trachea
epiglottis
hyoid

4. Maria wants to become a doctor who works with asthma patients. What specialty could she pursue to achieve this?

cardiology
pulmonology
phlebotomy
radiology

5. Which lymphatic system component lies in the fold between the pharynx and soft palate

tonsils
uvula
epiglottis
larynx

Answers

Answer:

1. diffusion

2. circulatory

3. trachea

5. larynx

4. i don't know

“Active listening” means to _______________. a. be quiet when someone is speaking b. check your understanding of what someone said c. ask questions about what someone said and meant d. all of the above Please select the best answer from the choices provided A B C D

Answers

Answer:

All of the above is the correct answer!!!

Explanation:

mark me brainliest

Why does the moon appear to move across the sky during the night?.

Answers

Usually it appears that the moon is moving because of the clouds! if there's no clouds then it's just kinda an illusion you get in the car lol because the car moves but the moon stays in the same place, and because it's so big you can see it anywhere!

Nerdy answer: Because Earth rotates on its axis from west to east :I

Usually it appears that the moon is moving because of the clouds! if there's no clouds then it's just kinda an illusion you get in the car lol because the car moves but the moon stays in the same place, and because it's so big you can see it anywhere! Nerdy answer: Because Earth rotates on its axis from west to east :I

What conclusion can be made about the relationship between the wavelength of light and the angle of refraction?

Answers

From the data in the given table, it can. be concluded that the angle of refraction decreases with increasing wavelength.

What is wavelength of light wave?

The wavelength of a wave is the distance between two successive points on the wave.

The wavelength of a wave is usually measured in metres.

The angle of refraction is the angle to which a wave is bent from the normal.

The color of light that has the shortest wavelength is Red while violet has the longest wavelength.

From the table provided, it can be seen that the angle of refraction decreases with increasing wavelength.

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If both masses are doubled, then the force
of gravity between them is quadrupled.
(True/False)

Answers

Answer:

True?

Explanation:Im sure of it?

According to the universal law of gravitation, the force between 2 objects (m1 and m2) is proportional to their plenty and reciprocally proportional to the sq. of the distance (R) between them.

what is the difference between sound pitch and sound frequency waves give an example

Answers

Sound pitch is how the sound directs itself, the sound frequency waves is how long, high, and low it Carrie’s

Calculate the net force on particle q1.
In Coulomb's Law, the variable, r, is the distance
between the charges. What is r for F2?
ke
ke = 8.99 109
F1 = -14.4 N = [?] m F2 = + N
F2 = k. 19193)
=
p2
=
--
r =
+13.0 uC
+7.70 μC
-5.90 uC
+ 91
+92
43
0.25 m
0.30 m

Answers

By applying Coulomb's law between the charges, the net force on the charged particle q₁ due to particle q₂ and q₃ is -9.86 N.

Distance between q₂ and q₃

The distance between the second charge and the third charge is given as;

r = 0.3 m

Force on q₂ due to q₃

[tex]F_{2} = \frac{kq_2q_3}{r^2} \\\\F_{2}= \frac{(8.99\times10^9) (7.7 \times 10^{-6})(5.9\times 10^{-6}) }{0.3^2} \\\\F_2 = 4.54\ N[/tex]

Net force on particle q₁

The net force on particle q₁ is determined by summing the individual forces together;

F(net) = F₁ + F₂

F(net) = -14.4 + 4.54

F(net) = -9.86 N

Thus, by applying Coulomb's law between the charges, the net force on the charged particle q₁ due to particle q₂ and q₃ is -9.86 N.

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Answer:

0.25m -14.4

Explanation:

Acellus :)

What is the kinetic energy of a bicycle with a mass of 12 kg traveling at a velocity of 2 m/s?

Answers

Kinetic energy= 1/2 mv²

= 1/2 ×12×4

=24 J

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The distance around earth is 24,887 miles. How many kilometers is the distance around the earth. Bosio inc.'s perpetual preferred stock sells for $120.00 per share, and it pays an $8.50 annual dividend. if the company were to sell a new preferred issue, it would incur a flotation cost of 4.00% of the price paid by investors. what is the company's cost of preferred stock for use in calculating the wacc? Please help me with this!!!(20 points + brainliest) 2) Suppose a certain type of bacteria reproduces continuously at a rate of 25% per minute. If the initialamount of bacteria is 27.a) Write an equation for the growth of bacteria over time. b) How money bacteria will there be in 5 minutes? 1 hour?c) How long will it take for the bacteria to reach a population of 10,000? whats the new answer and its about punctuations and how did i get it wrong and why is the new answer correct What is the atomic symbol for an isotope with protons = 27 and atomic mass = 60? Preferred stock ______. Multiple select question. will never be repaid does not pay dividends pays dividends in perpetuity pays a constant dividend Which sentence below would make a good quote for a paper on butterflies?A. Butterflies are insects.B. Moths are similar to butterflies.C. Monarch butterflies migrate up to 3,000 miles.D. If youve ever seen a butterfly, you know they are beautiful. it's perfectly round , sometimes has rainbows , it could be permanent , but can also disappear please guess what it is Driving at a safe speed is particularly important because kinetic energy __________. Based on the chemical equation, use the drop-down menu to choose the coefficients that will balance the chemical equation: ()zn ()hcl ()zncl2 ()h2 PLEASE HELP! :(1. What Rev. Kaiser does when Matt does not want to go back to the Bataky may seem a bit unusual for a minister. Why might he have done this? Explain.2. How do you think Matt will continue to change? Predict and infer a few possible situations that will help demonstrate your answer and explain.3. Identify the main conflict in this story. Explain4. What is the best theme for The Goodness of Matt Kaizer? Explain.STORY: "The Goodness of Matt Kaizer" points)After glycolysis happens in the cytoplasm, where do the pyruvate molecules thatwere made from the food go for the next step in the cellular respiration process?The MitochondriaThe NucleusThey remain in the cytoplasmThe Golgi Apparatus SOMEONE PLEASE HELP!!! HURRY I WILL GIVE BRAINLEAST Refer to Inside Out and Back Again for a complete version of this text.In the story, H and Pink Boy meet face to face. When he tries to hit her, H stands up to him and he falls in pain. Instead of feeling victorious, H pities Pink Boy.How does this response develop a theme in the story?H learns that getting revenge is the only way to stop abuse from others.It demonstrates that most problems can be resolved by using force. It highlights the importance of learning self-defense at a young age.H realizes that revenge rarely feels as good as one imagines it will. Solve this for c: 2x + y = 10, 4x + 2y = c As an aqueous solution becomes more acidic the hydroxide ion concentration What quantity of parsley would you need to make a half recipe? What gas law states that volume and pressure are inversely proportional at constant temperature and moles?. write a hook for an essay about small,happy family.