Is Ampère's law valid for all closed paths surrounding a conductor? Why is it not useful for calculating →B for all such paths?

Answers

Answer 1

Although not always practical, Ampere's law is true for all closed channels around a conductor. The integral can be calculated along many different paths, although it is difficult to do so. Think about a path that is circular but not coaxial with a long, straight wire that carries current. If the current in a conductor has enough symmetry to allow the line integral to be reduced to the size of B times an integral, Ampere's law can be used to calculate B.

What applications does Ampere's Law have?

Ampere's Law is applied to,

Find the magnetic induction caused by a long wire carrying current.Analyze the magnetic field a toroid has.Find the magnetic field produced by a long conducting cylinder that carries current.Ascertain the conductor's magnetic field.

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Related Questions

Brainliest Given:
Reflection is when a wave hits a surface and bounces off of it. Light can bounce off of a mirror so you can see yourself, and sound can bounce off of a wall so you hear an echo.

Refraction is when waves bend when they go into a different substance. This makes objects underwater look like they’re in a different spot than they actually are, and can make your straw look ‘crooked’ in your glass.

Diffraction is when waves bend as they go through openings, and around corners or objects. Sound diffracts more than light does, so it is easy to hear things around corners but impossible to see them.

Interference happens when the crests of two waves meet and build a bigger one, or a crest and trough come together and make a smaller one. This can make sound louder or softer, and light brighter or dimmer.

Decide which type of wave interaction is described below:


1. You can see the mountain peaks on the surface of a lake.

2. You try and spear a fish in a pond, but it hits just next to it.

3. You can still hear a concert even though you are in the parking lot.

4. Students are talking normally in the cafeteria, but it sounds very loud in there.

5. A big wave in a pool hits another wave, and it becomes mostly flat.

6. You use your window as a mirror.

7. Part of your fishing pole drops in the water, and it looks like it broke.

8. You hear a car in the driveway, even though you are on the other side of the house.

Answers

Answer: 1. Reflection

2. Refraction

3.Diffraction

4. Diffration

5.Interference

6. Reflection

7. Refraction

8. Diffraction

Good luck !

A bicyclist traveling at 5 m/s hits a fence, the bicyclist files over the fence. Which
of Newton's Laws does this BEST describe?

1.Newton’s 1st Law
2.Newton's 2nd Law
3.Newton's 3rd Law

Answers

The Newton's Laws that BEST describe the situation is Newton's second law of motion.

What is Newton's second law of motion?

Newton's second law of motion states, the force exerted by an object is directly proportional to the product of mass and acceleration of the object.

Also, the law can also be states as force is equal to the rate of change of momentum.

F ∝ Δp

Ft = m(v2 - v1)

The force exerted on the bicyclist by the fence is equal to the change in momentum of the bicyclist. The bicyclist was able to fly over the fence because there is a change in his momentum.

Thus, the Newton's Laws that BEST describe the situation is Newton's second law of motion.

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Joe walks 36m north followed by 90m east. What is his magnitude of displacement
from the start?

Answers

Answer: 90m - 36m = 54 m from the start! Best of luck!

A small car weighs 10168.25 N. What is its mass?

Answers

Answer:

1036.5kg

...................

Three solid plastic cylinders all have radius 2.50cm and length 6.00cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.0 nC/m² everywhere on its surface. Cylinder

Answers

By the charge density, the surface area of the cylinder charge is 0.20 nC.

We need to know about charge density to solve this problem. The charge density can be determined as

λ = Q / A

where λ is charge density, Q is charge and A is surface area.

The parameter given is the charge density and the solid cylinder shape which are :

λ = 15 nC/m²

r = 2.5 cm = 0.025 m

L = 6.0 cm = 0.06 m

Find the surface area of cylinder

A = 2πrL + 2πr²

A = 2π. 0.025. 0.06 + 2 . π . 0.025²

A = 0.0134 m²

Find the charges

Q = λ x A

Q = 15 x 0.0134

Q = 0.20 nC

Hence, the surface area of the cylinder charge is 0.20 nC.

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Imagine that the entire Sun, of mass MS , collapses to a sphere of radius Rg such that the work required to remove a small mass m from the surface would be equal to its rest energy mc² . This radius is called the gravitational radius for the Sun.
(b) Find a numerical value for Rg .

Answers

The value of radius (Rg) is 1.475km .

Given,

The mass of the sun = Ms

Radius of the sphere = Rg

work required to remove a small mass (m) from the surface would be equal to its rest energy mc^2 .

The given radius (Rg) is called the gravitational radius for the sun.

We know,

Gravitational potential energy or work done

= Ug = GMs×m/Rg

the given rest energy = E =mc^2

As, it is given that the required work or energy is equal to rest energy,

thus, Ug=E

GMs×m/Rg = mc^2

Rg = GMs/c^2

We know,

G = 6.67×10^-11 N. m^2/kg^2

Ms = 1.99×10^30 kg

c = 3×10^8 m/s

Thus, Rg = 6.67×10^-11 × 1.99×10^30 / (3×10^8)^2

Rg = (13.2733×10^19)/(9×10^16 )

Rg = 1.4748×10^3 m

Rg = 1.475km

Hence, The value of radius (Rg) is 1.475km .

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What is true about the nodes and antinodes of a standing wave? a. they decrease in number with time. b. they remain in a fixed position. c. their position keeps changing with time. d. they increase in number with time.

Answers

The nodes and antinodes of a standing wave always remain in a fixed position.

In a standing wave, the nodes and anti-nodes are present at fixed points.

The pattern of a standing wave shows that nodes result from destructive interference and anti-node result form constructive interference.

From a rest position, if we observe nodes and anti-node positions then we can see that nodes have zero displacement while anti-nodes are points that exhibit maximum displacement between two waves.

To put it simply, in Physics, the nodes and anti-nodes are two integral phases of a standing wave.

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Happens at the start of the game and after every touchdown. in flag football you may throw or punt the ball.

Answers

The correct answer is punt/kickoff

In gridiron football, a drive is started with a kickoff. The "kicking team" often kicks the ball to the "receiving team" of the opposite team during a kickoff. Until the player with the ball is tackled by the kicking team, goes out of bounds, scores a touchdown, or the play is otherwise deemed dead, the receiving team is then allowed to return the ball, i.e., attempt to move it towards the kicking team's end zone. Every half of play, the start of various overtime forms, and after scoring plays all feature kickoffs. At the beginning of each half, following a try, and following a successful field goal, the ball is sent into play through a kickoff.

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Complete question

Happens at the start of the game and after every touchdown. in flag football you may throw or punt the ball. options 1. Interception 2. Fumble

3. Punt/Kickoff  4. Down

the hydrogen-line emission spectrum includes a line at a wavelength of 434 nm. what is the energy of this radiation? (h

Answers

The energy of this radiation is 4.58 x 10⁻¹⁹ joules.

What is radiation?

Ionizing and non-ionizing categories of radiation are typically distinguished based on the energy of the radiated particles. Ionizing radiation carries energies greater than 10 eV, which is enough to ionize atoms and molecules and break chemical bonds. This distinction is important since these compounds differ significantly in how poisonous they are to living creatures. Ionizing radiation is typically produced by radioactive materials that release radiation in the form of photons, electrons, or positrons. Other sources include secondary cosmic rays that interact with Earth's atmosphere to produce muons, mesons, positrons, neutrons, and other particles, as well as X-rays from radiography examinations used in medicine.

Calculations:

wavelength = 434nm = 434 x 10⁻⁹m

planck's constant = h= 6.626 x 10 ⁻³⁴ J

E =?

by using the formula;

E = hc /λ

value for c is 3 x 10⁸ m/s

E is equal to (6.626 x 10 34 J)(3 x 108 m/s) / 434 x 109m.

E = 1.9878 x 10⁻²⁵ / 434 x 10⁻⁹m

E = 4.58 x 10⁻¹⁹ joules

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to determine your line of , you would need to know the angle your location (line) makes with the equatorial plane at earth's center.

Answers

To determine your line of latitude , you would need to know the angle your location (line) makes with the equatorial plane at earth's center.

What is Line of latitude?

This is also referred to as parallels and it is defined as the imaginary lines that divide the Earth. They run from east to west and are used to specify the north and south sides of the Earth.

To determine the line of latitude , it is imperative to know the angle your location (line) makes with the equatorial plane at earth's center which is therefore the reason why it was chosen as the most appropriate choice.

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special clothes needed or worn in church​

Answers

Answer:  If you want to know how to dress for church, something modest and comfortable should be fine. Generally, graphic tees that show off sports team logos or bands should never be worn to church. Solid-colored tops are fine, and even something with a pattern should be OK to wear.

Explanation:

Consider cyclic processes completely characterized by each of the following net energy inputs and outputs. In each case, the energy transfers listed are the only ones occurring. Classify each process as (a) possible, (b) impossible according to the first law of thermodynamics, (c) impossible according to the second law of thermodynamics, or (d) impossible according to both the first and second laws.(vi) Input is 5J of energy transferred by heat, and output is 3J of work plus 2J of energy transferred b

Answers

The situation is possible based on the first law of thermodynamics.

What is thermodynamics?

The term thermodynamics has to do with the study of heat. Heat is that which causes the temperature of a body to change. We know that according to the first law of thermodynamics, energy could neither be created nor destroyed but can be converted from one form to another.

The second law of thermodynamics states that, the conversion of energy is not 100% efficient as some of the energy could be lost as heat. We can now fit in the scenario described into the laws of thermodynamics.

We can see that, if we input is 5J of energy transferred by heat, and output is 3J of work plus 2J of energy transferred by heat, then the situation is possible based on the first law of thermodynamics.

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it's possible to transfer electric charge to an object so that its net electric charge is 6.5 times the fundamental electric charge, e.

Answers

It's possible to transfer electric charge to an object so that its net electric charge is 6.5 times the fundamental electric charge e. it is a false statement. because any charge can only be integral multiple of the fundamental charge e.

What is electric charge?

A neutral body gets charged if it gains or losses some electrons.

There are two types of charges: positive charge and negative charge.

It is the property of substances due to which a body produce and experience electric effect.

S.I. unit of charge is coulomb.

Q = It

Where, Q = charge,

I = electric current,

t = time

Quantisation of charge :

charge is quantised. it means that charge on a body is always equal to the integral multiple of basic unit of charge i.e. charge of one electron.

Q = ne

e = 1.6 ×10^-19 C .

A charge of magnitude 1C contains about 6×10^18 electrons.

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A ball is thrown up in the air and then caught 10 seconds later. How high did it go and what was the initial speed up? (6)

Answers

Answer:

high=125m

speed up=50m s-¹

Explanation:

consider acceleration due to gravity = 10m s-²

upward as positive

in t=5s

ball rest momentarily velocity=0

you can know this by drawing s-t graph

consider the upward movement t=0-5s

we now have v=0 t=5 a= -10 and need find u

so use a=[v-u]/t

-10=[0-u]/5

-50=-u

u=50 ms-¹

then let find the displacement

s = (v+u)t*1/2

s= 50*5*1/2

s=125m

In a transverse wave, the motion of the disturbance is in what direction relative to the wave motion?.

Answers

In a transverse wave, the motion of the disturbance is perpendicular to the direction of the wave motion.

A wave is a disturbance that travels through a medium. Depending on the direction of movement of the individual particles relative to the direction of the propagation of the wave, waves can be divided into longitudinal wave and transverse waves.

A transverse wave is a type of wave in which the individual particles of the medium move in a perpendicular direction relative to the direction of wave propagation. This phenomenon can be observed on a water wave. If we place a floatable object on a rippled water surface, it tends to oscillate up and down. This is because the water molecules are also oscillating up and down, perpendicular to the direction of the wave.

Other examples of transverse waves include electromagnetic waves and seismic waves.

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What creates a magnetic field? More than one answer may be correct. (a) a stationary object with electric charge (b) a moving object with electric charge (c) a stationary conductor carrying electric current (d) a difference in electric potential (e) a charged capacitor disconnected from a battery and at rest Note: In Chapter 34, we will see that a changing electric field also creates a magnetic field

Answers

Electricity can be applied to a wire to produce a magnetic field. Charged particles that are in motion produce all magnetic fields. Due to the continually moving electrons inside, even the magnet on your refrigerator is magnetic.

Describe the magnetic field?

Magnetic forces can be observed in a magnetic field, an electric current, a changing electric field, or a vector field around a magnet. Magnetic compass needles and other permanent magnets line in the direction of magnetic fields similar to those found on Earth. Electrically charged particles are forced to move in a circular or helical path via magnetic fields. The operation of electric motors is generated by this force, which is applied to electric currents in wires in a magnetic field.

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an iron bolt of mass 72.0 g hangs from a string 38.8 cm long. the top end of the string is fixed. without touching it, a magnet attracts the bolt so that it remains stationary, but is displaced horizontally 27.0 cm to the right from the previously vertical line of the string.

Answers

The weight of the iron bolt is 0.706N

What do you mean by the vertical line of the string?

A line that is perpendicular to the surface or another line that is regarded as the base is the vertical line. In coordinate geometry, the vertical lines are often perpendicular to the horizontal lines and parallel to the y-axis. Any straight line that runs from top to bottom or bottom to top is considered to be a vertical line. Standing lines are another name for vertical lines. The vertical lines that we typically draw connect the bases of a square or a rectangle. We shall examine the idea of the vertical line and its characteristics in this essay.

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A cubical surface surrounds a point charge q . Describe what happens to the total flux through the surface if (e) the charge is moved outside the surface.

Answers

Gauss law explains that the electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field.

Mathematically,

Φ=Q ϵo

Where;

Q is enclosed charge

ϵo is the permittivity of the free space

In the case where the charge is moved outside the surface, the flux in the electric field becomes zero because the enclosed charge becomes zero. Thus, the electric field will change due to the movement outside the surface. The only instances where flux is kept constant are when it is moved within the surface or the enclosing object is changed.

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S Show that the difference between decibel levels β₁ and β₂ of a sound is related to the ratio of the distances r₁ and r₂ from the sound source byβ₂ - β₁ = 20 log( r₁ / r₂)

Answers

Decibels are used to measure sound (dB). A motorcycle engine operating is roughly 95 dB louder than regular conversation, which is around 60 dB louder than a whisper.

What do you mean by decibel level?

A relative unit of measurement, the decibel (symbol: dB), is equal to one-tenth of a bel (B). It uses a logarithmic scale to express the ratio of two values of a power or root-power quantity. The power ratio between two signals with a one-decibel difference in level is 101/10 (or roughly 1.26), and the root-power ratio is 10120. (approximately 1.12). The unit can convey an absolute value or a change in the relative value. When used in this method, the unit symbol is frequently followed by letter codes that denote the reference value. In the latter situation, the numeric value reflects the ratio of a value to a fixed reference value. A typical suffix is "V" for the reference value of 1 volt, for instance (e.g., "20 dB").

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Four toy cars are moving at a constant speed until they experience an unbalanced force of 12 n each. Which toy car would have an acceleration of 3 m/s2 ?.

Answers

Answer: the car mass with four would have an accelaration

Explanation:

Why does hitting a magnet with a hammer cause the magnetism to be reduced?

Answers

Hitting a magnet with a hammer cause the magnetism to be Physical disruption and vibration damage the material's order, demagnetizing it.

Explanation:

There are numerous methods for demagnetizing a magnet.

A magnet, as we know, has magnetic moments, which are the arrangements of molecules in a specific direction.

The hammer causes the magnetic poles of the magnet to point in opposite directions, causing the magnet to bend.

When we repeatedly hammer on a magnet, the magnetic dipoles inside the magnet are released from their ordered configuration.

Magnetism is known to be caused by the presence of magnetic moments.

As a result, when we hammer it, the dipoles are perturbed, lose their orientation, and magnetic moments cease to exist. As a result, the magnet will become demagnetized.

What is Magnetism?

The force that magnets use to either attract or repel one another is known as magnetism.

Electric charges in motion are what generate magnetism. Every substance is made of small particles known as atoms.

Electrons, which are charged particles, are found in every atom. Electrons spin like tops around an atom's nucleus, or center. Their mobility causes an electric current to flow, causing each electron to act as a miniature magnet.

Another strongly magnetic substance must enter the magnetic field of an existing magnet in order to be magnetized. A magnet's magnetic field is the area of magnetic force that surrounds it.

An electric current can magnetize some compounds.

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What is the position when t = 18 s?

Answers

You will get 55 ndh on your phone and your account number will pay you to get your card 66

M The following charges are located inside a submarine: 5.00μC,-9.00μC, 27.0μC , and -84.0μC (b) Is the number of electric field lines leaving the submarine greater than, equal to, or less than the number entering it?

Answers

Since the net electric flux which is − 6.89 × 10^6 V⋅m through the hull of the submarine is negative, the number of electric field lines leaving the submarine is less than the number entering it.

A submarine (or sub) is a watercraft capable of independent operation underwater. It differs from a submersible, which has the more limited underwater capability. Most large submarines consist of a cylindrical body with hemispherical (or conical) ends and a vertical structure, usually located amidships, that houses communications and sensing devices as well as periscopes. In modern submarines, this structure is the "sail".

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Suppose you are facing a tall makeup mirror on a vertical wall. Fluorescent tubes framing the mirror carry a clockwise electric current.(i) What is the direction of the magnetic field created by that current at the center of the mirror? (a) left (b) right (c) horizontally toward you (d) horizontally away from you (e) no direction because the field has zero magnitude

Answers

The direction of the field the current creates at a point on the wall outside the frame to the right is horizontally towards you.

If the direction of a magnetic field around a vertical electrical wire is counter clockwise, what direction is the electrical current moving?

The current will flow from the bottom of the wire to the top if the magnetic field around a vertical electrical wire is counter clockwise in direction. A magnetic field, a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. When a charge moves through a magnetic field, a force that is perpendicular to both its own velocity and the magnetic field operates on it.

A permanent magnet's magnetic field pulls on ferromagnetic materials like iron and draws or repels other magnets. Since the direction and strength of a magnetic field can vary depending on the location, it can be mathematically described by a function that gives each point a vector.

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Find the net electric flux through (c) What can you conclude about the charges, if any, inside the cylindrical surface?

Answers

The net flux is positive so the charge in the cylinder is positive To be a uniform field, the field lines mug originate from a plane of charge The net charge inside the cylinder is positive and is distributed on a plane parallel to the ends of the cylinder.

Electric flux, property of an electric field that may be thought of as the number of electric lines of force (or electric field lines) that intersect a given area. Electric field lines are considered to originate on positive electric charges and to terminate on negative charges.

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A car increases its speed from 30 km/h to 60 km/h in 5 seconds. Its acceleration s (a) 1.66 m/s² (b) 5 km/h² (c) 16.6 km/h² (d) 5m/s² ​

Answers

Answer: 6 km/h²

Explanation:

Final Speed= 60 km/h

Initial Speed= 30 km/h

Time= 5 sec

Now,

60= 30 + Acceleration*5

⇒Acceleration = 6 km/h²

A nonconducting ring of radius 10.0 cm is uniformly charged with a total positive charge 10.0μC. The ring rotates at a constant angular speed 20.0 rad/ s about an axis through its center, perpendicular to the plane of the ring. What is the magnitude of the magnetic field on the axis of the ring 5.00 cm from its center?

Answers

The magnitude of the magnetic field on the axis of the ring 5 cm from its center is 143 pT.

The radius of the nonconducting ring is R = 10 cm.

The ring is uniformly charged q = 10 μC.

The angular speed of the ring, ω = 20 rad/s

The ring is x = 5 cm from the center of the ring.

Now,

R = 10 cm = 0.1 m

q = 10.0 μC = 10 × 10⁻⁶ C

x = 5 cm = 0.05 m

The magnetic field on the axis of a current loop is given as:

[tex]B =\frac{\mu_{0}IR^{2}}{4 \pi(x^{2}+R^{2})^{\frac{3}{2} }}[/tex]

Now, [tex]I = \frac{q}{\frac{2 \pi}{\omega} }[/tex]

So, the magnitude of the magnetic field which is directed away from the center is:

[tex]B =\frac{\mu_{0} \omega qR^{2}}{4 \pi(x^{2}+R^{2})^{\frac{3}{2} }}[/tex]

[tex]B = \frac{\mu_{0} \times(200) \times (10 \times 10^{-6}) \times (0.1)^{2}}{4 \pi((0.05)^{2}+(0.1)^{2})^\frac{3}{2} }[/tex]

B = 1.43 × 10⁻¹⁰ T

B = 143 pT

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as a ferromagnetic object gets closer to the magnet, the magnetic force pulling the object decreases exponentially.

Answers

Ferromagnetic substance are strongly attractive to a magnet.

Ferromagnetic material are those materials which shows magnetic property also in the absence of external magnetic field

It's Atom have permanent dipole moment present in domains.

These are used in the industry.

example of ferromagnetic substance are nickel, iron ,Cobalt etc

When ferromagnetic object is  placed  in a magnetic field  the domains will oriented in the direction of magnetic field even after the removal of applied magnetic field it will not change the shows that it become a permanent magnet.

Magnetic force  on ferromagnetic object depends on the strength of the object and also size of the object

The given question is incomplete. The complete question is.

as a ferromagnetic object gets closer to the magnet, the magnetic force pulling the object decreases exponentially

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what is the major cause of the earth’s magnetic field? the earth’s liquid outer core the earth’s liquid outer core the earth’s magnetic lithosphere the earth’s magnetic lithosphere charged particles from the sun charged particles from the sun magnetic materials on the earth’s surface

Answers

The earth's liquid outer core is the major cause of the earth’s magnetic field.

What is magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, a vector field. A force acting on a charge while it travels through a magnetic field is perpendicular to both the charge's motion and the magnetic field. The magnetic field of a permanent magnet attracts or repels other magnets as well as ferromagnetic elements like iron. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, like those utilised in electromagnets, and electric fields that change over time produce magnetic fields that surround magnetised things.

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A ray of light is incident at an angle of 30° on the angle through which the ray is minimally a glass prism of refractive index 1.5. Calculate deviated in the prism. (The medium surrounding the prism is air)​

Answers

Typically, the "refracted angle" is used to refer to the "angle of deviation."

Snell's Law is simply applied in this case.

Since n1sin1 = n2sin2,

The incidence angle is 1

The refracted angle is 2

The appropriate indices of refraction are n1 and n2.

the standard value for air, n1, is 1.

n2 = 1.5

What is the first rule of Snell?

As a result, the refractive indices of the two media may be related through the angle associated with incidence and refraction. The incident ray, the refracted ray, and the normal ray are all said to be on the same plane.

Snell's Law is particularly significant for optical technologies like fibre optics. According to Snell's Law, the refractive indices of the materials at the contact are proportional to the ratio of the sine of the angles of incidence and transmission.

The extension is obeyed by the e-ray Because the refractive index of an e-ray changes with the angle between the wave vector and optical axis, Snell's law applies. It is important to consider e-ray propagation in the uniaxial crystal.

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Other Questions
A scientist is studying three different layers of sedimentary rock to learn how a particular mammal species has changed over time. In the rock layer that is closest to the Earth's surface, fossilized individuals of this species have hooves on both their front feet and their back feet. In the layer below, fossilized individuals have three padded toes on both their front feet and their back feet. In the bottom layer, fossilized individuals have four padded toes on their front feet and three padded toes on their back feet.Based on this information, individuals of this species today most likely have A. hooves on both their front feet and their back feet. B. four padded toes on their front feet and three padded toes on their back feet. C. four padded toes on both their front feet and their back feet. D. three padded toes on both their front feet and their back feet. HELP PLSS GIVING BRAINLYIST Read the following passage from Anne of Green Gables by Lucy Maud Montgomery. Answer the question that follows the text."Oh, you can talk as much as you like. I don't mind.""Oh, I'm so glad. I know you and I are going to get along together fine. It's such a relief to talk when one wants to and not be told that children should be seen and not heard. I've had that said to me a million times if I have once. And people laugh at me because I use big words. But if you have big ideas you have to use big words to express them, haven't you?""Well now, that seems reasonable," said Matthew."Mrs. Spencer said that my tongue must be hung in the middle. But it isn'tit's firmly fastened at one end. Mrs. Spencer said your place was named Green Gables. I asked her all about it. And she said there were trees all around it. I was gladder than ever. I just love trees. And there weren't any at all about the asylum, only a few poor weeny-teeny things out in front with little whitewashed cagey things about them. They just looked like orphans themselves, those trees did. It used to make me want to cry to look at them. I used to say to them, 'Oh, you POOR little things! If you were out in a great big woods with other trees all around you and little mosses and Junebells growing over your roots and a brook not far away and birds singing in you branches, you could grow, couldn't you? But you can't where you are. I know just exactly how you feel, little trees.' I felt sorry to leave them behind this morning. You do get so attached to things like that, don't you? Is there a brook anywhere near Green Gables? I forgot to ask Mrs. Spencer that.""Well now, yes, there's one right below the house.""Fancy. It's always been one of my dreams to live near a brook. I never expected I would, though. Dreams don't often come true, do they? Wouldn't it be nice if they did? But just now I feel pretty nearly perfectly happy. I can't feel exactly perfectly happy becausewell, what color would you call this?"She twitched one of her long glossy braids over her thin shoulder and held it up before Matthew's eyes. Matthew was not used to deciding on the tints of ladies' tresses, but in this case there couldn't be much doubt."It's red, ain't it?" he said.The girl let the braid drop back with a sigh that seemed to come from her very toes and to exhale forth all the sorrows of the ages."Yes, it's red," she said resignedly. "Now you see why I can't be perfectly happy. Nobody could who has red hair. I don't mind the other things so muchthe freckles and the green eyes and my skinniness. I can imagine them away. I can imagine that I have a beautiful rose-leaf complexion and lovely starry violet eyes. But I CANNOT imagine that red hair away. I do my best. I think to myself, 'Now my hair is a glorious black, black as the raven's wing.' But all the time I KNOW it is just plain red and it breaks my heart. It will be my lifelong sorrow. I read of a girl once in a novel who had a lifelong sorrow but it wasn't red hair. Her hair was pure gold rippling back from her alabaster brow. What is an alabaster brow? I never could find out. Can you tell me?""Well now, I'm afraid I can't," said Matthew, who was getting a little dizzy. He felt as he had once felt in his rash youth when another boy had enticed him on the merry-go-round at a picnic."Well, whatever it was it must have been something nice because she was divinely beautiful. Have you ever imagined what it must feel like to be divinely beautiful?""Well now, no, I haven't," confessed Matthew ingenuously."I have, often. Which would you rather be if you had the choice-divinely beautiful or dazzlingly clever or angelically good?""Well now, I-I don't know exactly.""Neither do I. I can never decide. But it doesn't make much real difference for it isn't likely I'll ever be either."In a minimum of one paragraph, explain what you learn about these characters from this interaction. Use details from the passage to support your response. sam is investing in a partnership with jerry. sam contributes equipment that originally cost $63,000, has a book value of $30,000, and a fair market value of $39,000. the entry that the partnership makes to record sam's initial contribution includes a Socio-economic factors that could discourage grade 11 learners from succeeding during this crucial academic year in order for an organism to survive, what must it do? reproduce reproduce find food and water find food and water regenerate regenerate select a habitat select a habitat write a statement that assigns finalresult with the sum of num1 and num2, divided by 3. ex: if num1 is 4 and num2 is 5, finalresult is 3. java Two interior decorating teams are competing in a kitchen remodel competition. Their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. Time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. Whoever has the largest final score wins $150,000. Suppose Team A received 15 points for time to complete, 9 points for design, and 14 points for total cost. Suppose Team B received 17 points for time to complete, 7 points for design, and 13 points for total cost. Using technology, determine which team won the competition. Team A won by 1.9 points. Team A won by 1.1 points. Team B won by 1.9 points. Team B won by 1.1 points. True or false:A secondary dominant chord acts just like it is the V7 chord of some chord other than the tonic of the What does it mean to "do one's duty for one's country"? Irma is using Sunny Citrus Cleaning Concentrate to clean her kitchen. The citrus-scented cleaner is really strong, so Irma needs to add water to it. To clean her counters, she mixes some of the citrus-scented cleaner and some water in a squirt bottle. To clean her floors, she mixes triple the amount of the citrus-scented cleaner and double the amount of water in a bucket. Which mixture has a stronger citrus scent? which of the statements offers the most compelling evidence for the connection of all life on earth? group of answer choices the frequency with which convergent evolution takes place the fact that dna is universal to all life forms very similar morphologies among groups of organisms evolution cannot be observed directly, so there is no compelling evidence for this. the fossil record how did nineteeth century inuit people ensure thier scare resources would support them through harsh canadian winters The subatomic particles that are least massive and most massive respectively are the. Name the rod-shaped organelles that have a double-membrane wall and that oxidize foodstuffs to make atp. X - y = 5 and x + y = -10 when a binding price ceiling is imposed on a market for a good, some people who want to buy the good cannot do so. miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. the area of the reduced photo is 64 square inches. in the equation (x 3)2 Give one example of something fromeach of the 4 spheres that you might findin a forest near Plainfield, Illinois. Why was the idea expressed by Abraham Lincoln in this speech significant In Biomedical engineering signals and systems, how is the fourier coefficient and the fourier transform expression written