a second wire with 300 turns is wrapped around a toroid with a rectangular cross section. the inner radius of the toroid is 0.3 m, the outer radius is 0.5 m, and the height is 0.2 m. the number of turns of the primary wire is 500. find the mutual inductance.
Answers
A rectangular-shaped toroid is encircled by a second wire with 300 turns. The toroid's height is 0.2 m, inner radius is 0.3 m, and outer radius is 0.5 m. Therefore, the mutual inductance between the primary wire and the secondary wire wrapped around the toroid is approximately 0.377 T·m².
To find the mutual inductance between the primary wire and the secondary wire wrapped around the toroid, we can use the formula:
Mutual inductance (M) = (μ₀ × N₁ × N₂ × A) / L
Where:
μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A)
N₁ is the number of turns in the primary wire
N₂ is the number of turns in the secondary wire
A is the cross-sectional area of the toroid
L is the mean length of the toroid's magnetic path
First, let's calculate the cross-sectional area (A) of the toroid:
A = π × (r₂² - r₁²)
A = π × ((0.5 m)² - (0.3 m)²)
A = π × (0.25 m² - 0.09 m²)
A = π × 0.16 m²
A = 0.5027 m²
Next, let's calculate the mean length (L) of the toroid's magnetic path:
L = 2π × (r₁ + r₂) + 2 × h
L = 2π × (0.3 m + 0.5 m) + 2 × 0.2 m
L = 2π × 0.8 m + 0.4 m
L = 5.027 m
Now, we can calculate the mutual inductance (M):
M = (μ₀ × N₁ × N₂ × A) / L
M = (4π × 10⁻⁷ T·m/A) × (500 turns) × (300 turns) × (0.5027 m²) / 5.027 m
M = 0.377 T·m²
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Related Questions
If one 9V battery is used in a circuit with a total resistance of 39Ω, what is the current in the circuit?
Answers
Answer:
Using V= IR
I= 0.2307 Ampere
PLEASE HELP
As a new Psychologist, you believe that watching cooking shows on television increases a person's cooking ability. Design the research method that would be used to test your theory. Be sure to include each of the following:
(a) Identify which research method you should use.
(b) Correctly identify the independent and dependent variables.
(c) List one potential confounding variable.
Answers
Answer:
(a) The research method that would be used to test this theory is an experimental method.
(b) The independent variable would be the amount of time participants spend watching cooking shows on television, and the dependent variable would be their cooking ability. Cooking ability can be measured by objective measures such as speed and accuracy in preparing dishes, as well as subjective measures such as taste and presentation.
(c) One potential confounding variable could be prior cooking experience. Participants with prior cooking experience may have a higher cooking ability regardless of the amount of time they spend watching cooking shows, whereas those without prior cooking experience may have a lower cooking ability regardless of the amount of time they spend watching cooking shows. To control for this variable, participants could be randomly assigned to groups based on their prior cooking experience, or prior cooking experience could be measured and included as a covariate in the analysis.
Explanation:
which type of mater conduct heat?
Answers
Answer:
Copper is the best conductor
Which additional information would be required to determine the velocity of the train?
a: the total distance covered by the train
b: the mass of the train
c: the time the train is traveling
d: the direction of the train
Answers
To determine this same train's velocity, you would require to understand it's own direction.
What is the response to velocity?The pace at which a material's position changes in relation to a frame of reference is known as its velocity, and it depends on time. The definition of velocities is the determination of a moving object's rate and direction (for example, 60 km/h to the north).
Why is velocity employed?Velocity is a unit of measurement for motion that begins in one location and moves to another. There are countless practical uses for velocity, one of the more frequent ones is figuring out how quick you (or something that is motion) will get somewhere from somewhere.
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If a car with an initial velocity of 10 m/s accelerates at a rate of 50 m/s^2
for 3 s. What will be the final velocity? *
Answers
Given:
Initial velocity (u) = 10 m/s
Acceleration (a) = 50 m/s²
Time taken (t) = 3 s
To Find:
Final velocity (v)
Answer:
By using equation of motion, we get:
\( \bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow v = 10 + 50 \times 3 \\ \\ \rm \longrightarrow v = 10 + 150 \\ \\ \rm \longrightarrow v = 160 \: m {s}^{ - 1} \)
\( \therefore \) Final velocity (v) = 160 m/s
You would use _____ to determine the level of solar heating and nighttime radiational cooling in a temperature forecast.
Answers
You would use the extent of cloud cover to determine the level of solar heating and nighttime radiational cooling in a temperature forecast.
Clouds as a weather phenomenon are tiny liquid water vapor particles, frozen water crystals, and other particles suspended in the air. Clouds form in the sky because the air is saturated with moisture when it cools down to the dew point, or when a lot of water evaporates from the earth's surface and forms water vapor.
Cloud cover is the part of the sky that is covered by clouds relative to an observer (weather station) at a given point on land or sea. In other words, the number of clouds in the sky or the degree of cloud cover. This is one of the most important weather parameters, it is also called clouds.
In current meteorology, it is mainly given as a percentage. For example, if the sky is 100% covered with clouds, then it is a completely cloudy day. When the cloud cover is 25%, the day will be sunny, not cloudy. Cloudiness 0% means a sunny day without clouds. Therefore, it is also called
the percentage of cloud cover in the sky.
However, it is important to note that in the past people used special "octa" markers to indicate cloud cover on paper weather maps indicating the same. The shield looks like a circle divided into eight parts.
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_____________ acceleration is used to maintain slow forward motion or allow speed to increase gradually with minimum weight shift.
Answers
Light acceleration is used to maintain slow forward motion or allow speed to increase gradually with minimum weight shift.
What is Acceleration?This is referred to the rate of change of velocity with time and is regarded as a vector quantity.
It is also characterized by a positive forward motion and light acceleration on the other hand maintains slow forward motion or allow speed to increase gradually with minimum weight shift.
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Why is it important to know the location of active and inactive faults in our country?
Answers
Answer:
I hope this helps.
Explanation:
It's important to know the location of an active fault in order to determine the magnitude of the expected earthquake. There is a chance than an inactive fault can become active again. It's important that we take the locations into account in order to be prepared and ready for if it occurs.
if space has a hyperbolic geometry (unbounded universe), what will happen to two initially parallel flashlight beams as they traverse billions of light years of space?
Answers
In a hyperbolic geometry or unbounded universe, two initially parallel flashlight beams will gradually diverge from each other as they traverse billions of light years of space.
In a hyperbolic geometry or unbounded universe, the spatial curvature is negative. This means that the geometry of space is such that parallel lines will gradually diverge from each other as they extend further.
When two flashlight beams are initially parallel and they traverse billions of light years of space in a hyperbolic geometry, the negative curvature of space causes the beams to gradually separate from each other. This divergence occurs because the geometry of space itself causes the paths of the beams to curve away from each other.
As the flashlight beams travel through space, the negative curvature causes the paths of the beams to follow hyperbolic trajectories, resulting in an increasing separation between the beams. The exact rate of divergence will depend on the specific curvature of space and the distance traveled.
Therefore, in a hyperbolic geometry or unbounded universe, two initially parallel flashlight beams will gradually diverge from each other as they traverse billions of light years of space due to the negative curvature of space.
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What is the main difference between physical and chemical changes? ____ a. Chemical changes require a change in composition and physical does not b. Chemical changes do not require a change in composition but physical they do. c. Chemical changes are reversible d. None of the above
Answers
Answer:
a. Chemical changes require a change in composition and physical does not
Explanation:
The main difference between physical and chemical changes is that chemical changes require a change in composition and physical does not.
A chemical change is the change in composition of a substance which is irreversible and a permanent change.
On the other hand, physical change is a temporary change in a substance and can be easily reversible. The composition of a substance do not change in physical composition.
The mass of earth 6*10^24kg and radius is 400kg Now find the value of acceleration due to gravity when a object is 3600km from the earth surface
Answers
Two men, Joel and Jerry, each pushes an object that are identical on a horizontal frictionless floor starting from rest. Joel and Jerry are using the same force F. Jerry stops after 10 min, while Joel is able to push for 5.0 min longer. Compare the work they do.
Answers
Answer:
The work done by Joel is greater than the work done by Jerry.
Explanation:
Let suppose that forces are parallel or antiparallel to the direction of motion. Given that Joel and Jerry exert constant forces on the object, the definition of work can be simplified as:
\(W = F\cdot \Delta s\)
Where:
\(W\) - Work, measured in joules.
\(F\) - Force exerted on the object, measured in newtons.
\(\Delta s\) - Travelled distance by the object, measured in meters.
During the first 10 minutes, the net work exerted on the object is zero. That is:
\(W_{net} = W_{Joel} - W_{Jerry}\)
\(W_{net} = F\cdot \Delta s - F\cdot \Delta s\)
\(W_{net} = (F-F)\cdot \Delta s\)
\(W_{net} = 0\cdot \Delta s\)
\(W_{net} = 0\,J\)
In exchange, the net work in the next 5 minutes is the work done by Joel on the object:
\(W_{net} = W_{Joel}\)
\(W_{net} = F\cdot \Delta s\)
Hence, the work done by Joel is greater than the work done by Jerry.
Which image illustrates refraction?
Answers
Answer:
B illustrates refraction
When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. Affect
D. Structures
Answers
Because the structures in our body affect other systems in the body causing someone to get sick
Answer:
C. affects
Explanation:
affect means to impact or change. When the system fails it's it impacts or affects the others systems so they become sick.
In the accompanying diagram of right triangle ABC, AB= 8, BC= 15, AC= 17, and m/ABC = 90.
What is tan C?
Answers
The correct answer is tan C = 8/15.
Six trigonometric ratios, namely Sine, Cosecant, Tangent, Cosecant, and Secant, are defined for right triangles in mathematics. These trigonometric ratios are actual functions that connect a right-angled triangle's angle to the ratios of its two side lengths. Basic trigonometric functions like Sin and Cos can be used to determine how a right triangle is shaped. Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent are the six trigonometric ratios; they are sometimes known as Sin, Cos, Tan, Csc, Sec, and Cot. These can be represented in terms of the sides of a right-angled triangle given a particular angle, which is why they are known as ratios.
From the figure
\($\tan A=\frac{\text { leg opposite } \angle A}{\text { leg adjacent to } \angle A}: \tan (\angle A C B)=\frac{\overline{A B}}{\overline{B C}}$\)
Substitute \($\overline{A B}=8, \overline{B C}=15$\) into \($\tan (\angle A C B)=\frac{\overline{A B}}{\overline{B C}}: \tan (\angle A C B)=\frac{8}{15}$\)
Hence tan C = 8/15.
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Can anybody help please?
Answers
Select the correct answer.
what is the value of log3^9
Answers
The value of log3⁹ is approximately 4.2939. A mathematical function that represents the exponent to which a specified base must be raised to obtain a given number is known as logarithm. We can also say that it is the inverse operation of exponentiation and the logarithm of a number x to a specified base b is denoted as log b(x).
The value of log3⁹ can be found by using the properties of logarithms. Specifically, we'll use the power rule which states that log(a^b) = b * log(a).
The logarithm function can be defined using different bases, but the most
In this case, a = 3 and b = 9, so the expression becomes:
log(3⁹) = 9 * log(3)
The value of log(3) is approximately 0.4771, so the value of log(3⁹) is:
9 * 0.4771 ≈ 4.2939
Therefore, the value of log3⁹ is approximately 4.2939.
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9. two solid spheres, both of radius 5 cm, carry identical total charges of 2 !c. sphere a is a good conductor. sphere b is an insulator, and its charge is distributed uniformly through- out its volume. (i) how do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare?(a)ea.eb 50(b)ea.eb.0(c)ea5eb.0 (d)0,ea,eb (e)05ea,eb (ii)howdothemagnitudes of the electric fields they separately create at radius 4 cm compare? choose from the same possibilities as in part (i).
Answers
(i) The magnitudes of the electric fields they separately create at a radial distance of 6 cm is \(E_{a}\)=\(E_b}\). and (ii) The magnitudes of the electric fields they separately create at radius 4 cm is \(E_{a} =E_{b}\), so the correct option is option b.
What do you mean by conductor?A conductor refers to a material that allows an electric current to flow through it with ease. In other words, it has a low electrical resistance. Conductors are materials that have a high number of free electrons that are able to move freely through the material. Examples of conductors include copper, aluminum, gold, and silver. These materials are commonly used in the electrical industry to make wires and other electrical components that need to conduct electricity. In addition to materials, a conductor can also refer to a person or an organization that is responsible for directing or leading an orchestra or a choir. In this context, a conductor is in charge of maintaining the ensemble's rhythm and intonation, and interpreting the score in a way that brings out the music's emotional content and intended meaning.
(i) The magnitude of the electric field created by a charged conductor is given by the formula E = \(\frac{kq}{r}\), where k is the Coulomb constant, q is the charge, and r is the distance from the center of the sphere.
For a good conductor, like sphere A, the charge will be distributed evenly on the surface of the sphere. So, the electric field at a radial distance of 6cm will be Eₐ = \(\frac{kq}{r^{2} }\) = \(k\frac{210^{-6} }{(619^{-2} )}^{2} =\frac{k}{72}\)
For an insulator, like sphere B, the charge is distributed uniformly throughout its volume. The electric field at a radial distance of 6cm will be \(E_{b}\)= \(\frac{kq}{r^{2} }=k\frac{210^{-6} }{(619^{-2} )}^{2} =\frac{k}{72}\)
As we can see, the magnitudes of the electric fields created by both spheres are equal, so the answer is (b) \(E_{a} =E_{b}\)
(ii) For the radius of 4cm, the electric field created by sphere A and sphere B will
\(E_{a} =\frac{kq}{r^{2} }=k\frac{210^{-6} }{(410^{-2} )^{2} } =\frac{k}{16}\\E_{b} =\frac{kq}{r^{2} }=k\frac{210^{-6} }{(410^{-2} )^{2} } =\frac{k}{16}\\\)
As we can see, the magnitudes of the electric fields created by both spheres are equal at a radius of 4cm, so the answer is (b) \(E_{a} =E_{b}\)
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A sportscar has a mass of 1500 kg and accelerates at 5 meters per second squared. What is the magnitude of the force acting on the sportscar?
Answers
Answer:
7500 Newtons
Explanation:
Mass of the sportscar= 1500 kg
Acceleration of the sportscar= 5m/s^2
Hence, let the Force acting on it be F
\(We\ know\ that,\\Force=Mass*Acceleration\\F=ma\\\\Here,\\F=1500*5\\=7500 kg m/s^2\ or\ 7500\ Newtons\)
body composition is?
Answers
Answer: body composition is the proportion of fat and non fat mass in your body.
Explanation:
Answer:
Body composition is the percentage of a body's weight
Explanation:
Body composition is the body's amount of fat relative to fat-free mass. Individuals with optimal body composition are typically healthier, move more easily and efficiently, and generally feel better.
1. Which of the following statements is false? A) During a reaction, electrons move from an electrophile to a nucleophile B) Homolytic bond cleavage yields neutral radicals in which each atom gains on
Answers
The false statement is B) Homolytic bond cleavage yields neutral radicals in which each atom gains one electron.
In homolytic bond cleavage, each atom retains one electron from the shared pair of electrons, resulting in the formation of two neutral radicals, where each atom retains its original number of electrons.
No atoms gain or lose electrons in this process.
In a homolytic bond cleavage, a covalent bond is broken, and the shared pair of electrons is split equally between the two atoms involved in the bond.
This results in the formation of two neutral radicals, with each atom retaining one of the electrons from the shared pair.
A radical is a chemical species characterized by the presence of an electron that is unpaired, meaning it does not have a partner electron with which it forms a complete pair. When a covalent bond is homolytically cleaved, each atom involved in the bond gains one electron, resulting in the formation of two radicals.
These radicals are highly reactive due to the presence of the unpaired electron, which makes them prone to participate in further chemical reactions.
It's important to note that in homolytic bond cleavage, there is no transfer of electrons from one atom to another.
Instead, the bond is broken in a way that allows each atom to retain one of the electrons, leading to the formation of two neutral radicals.
Therefore, statement B, which suggests that each atom gains one electron, is false.
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9.00 V is applied to a wire with aresistance of 52.0 2. At what distancefrom the wire is the imagnetic field2.22 x 10-8 T?
Answers
Answer:
1.56 m
Explanation:
First, we need to find the current in the wire, so we will use the following equation:
\(V=IR\)Where V is the voltage, R is the resistance and I is the current. Replacing the values and solving for I, we get:
\(\begin{gathered} 9V=I(52\Omega) \\ \frac{9V}{52\Omega}=I \\ 0.17A=I \end{gathered}\)So, the current is 0.17 A.
Now, the magnetic field generated by a wire with current I at a distance r is equal to:
\(B=\frac{\mu I}{2\pi r}\)Where μ is 4π x 10^(-7). So, replacing the values and solving for r, we get:
\(\begin{gathered} (2.22\times10^{-8})=\frac{(4\pi\times10^{-7})(0.17)}{2\pi r} \\ (2.22\times10^{-8})r=\frac{(4\pi\times10^{-7})(0.17)}{2\pi r}\cdot r \\ (2.22\times10^{-8})r=\frac{4\pi\times10^{-7}(0.17)}{2\pi} \\ (2.22\times10^{-8})r=3.4\times10^{-8} \\ \frac{(2.22\times10^{-8})r}{2.22\times10^{-8}}=\frac{3.4\times10^{-8}}{2.22\times10^{-8}} \\ r=1.56\text{ m} \end{gathered}\)Therefore, the distance is 1.56 m
Explain why the formation of sand is a physical change.
Answers
form and energy is either given out or
taken in. Some chemical changes are
initiated by mixing
Answer:
The formation of sand is a physical change because some of the physical properties of the rocks change, but their identities do not. The particles of rock are rearranged as their sizes and shapes change, but their identities and total mass remain the same.
Which phrase best describes a bird's skeleton
Answers
Created for flight, yet durable
g Two point charges -6 C and -8 C charge are 12 cm apart. What is the magnitude of the electric field at a point half-way between the two charges
Answers
Explanation:
q1 = -6
q2 = -8
d^2 = (6/100)^2 = 0.0036
k = 1/4*(pi*E) where E js the permittivity of free space
F = (k*q1*q2)/(d^2)
Substitute your values into this equation and solve
How can the density of an object be determined?”
Answers
Answer:
First you need to know the mass (grams) of the object and its volume, then what you do is Divide the mass by the volume in order to get an object's Density.
Explanation:
hope that helped good luck :)
Answer:
m/p, aka mass/volume.
Explanation:
for example if you had an object that had a mass of 10 and volume of 5, the density of that object would be 10/5, or 2.
If the wavelength is 10 m and the frequency is 5 Hz, what is the wave speed?
Answers
V = 5 x 10
V = 50m/s
What is the momentum of A 200 kg shark swimming at 15 m/s
Answers
Answer:
3000 kg meter per sec
Explanation:
Momentum of an object refers the motion of an object. Momentum depends upon mass and velocity both.
Formula to calculate the momentum of any object is,
Momentum = Mass × Velocity
By substituting values of mass and velocity of the shark from the question,
Momentum of shark = 200 × 15
= 3000 kg meter per second
Therefore, shark weighing 200 kg has the momentum as 3000 kg meter per seconds.
Which of the following is true about sound waves?
1:they move faster than light
2:they make wind
3:the vibrate the air
4: they move slower in water than air
Answers
Answer:
They transmit by vibration through mediums such as air. So #3 is most logical answer.
Explanation:
It is in fact vibration of air (sound waves) which is transformed by the tympanic membrane in the ear of human to audible sounds.
++++++++++++++++++++++++++++++++++++++++++++++
Sound travels slower than light
Move faster in water than air.
Wind blowing through leaves and other objects creates sounds.
Answer:
(Question) Which type of wave needs a medium to travel?
(Answer) sound waves, because they travel by oscillating molecules
(Question) What do both sound and light waves transfer?
(Answer) energy
(Question) How does an increase in amplitude affect sound and light waves?
(Answer) louder sound and brighter light
(Question) What happens to the wavelength when the frequency increases?
(Answer) The wavelength decreases.
(Question) Which of the following is true about sound waves?
(Answer) Sound moves faster in the ocean than in the air.
Explanation:
i just did the quick check
suppose that two objects attract each other with a gravitational force of 32 newtons. if the distance between the two objects is doubled, what is the force of attraction betweenthem?
Answers
Taking into account the Universal Law of Gravitation, the force of attraction between the tow objects is 8 N.
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.
Mathematically it is expressed as follows:
\(F=G\frac{Mm}{d^{2} }\)
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ \(\frac{Nm^{2} }{kg^{2} }\).M and m are the masses of the bodies that interact.d is the distance that separates them.Force of attraction in this caseIn this case, two objects attract each other with a gravitational force of 32 newtons. The distance between the two objects is doubled.
Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
Then, if the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (d²= 2²= 4). The new force is then \(\frac{1}{4}\) of the original:
F=\(\frac{1}{4}\)×Foriginal
F=\(\frac{1}{4}\)×32 N
F= 8 N
Finally, the force of attraction between the tow objects is 8 N.
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