A circular coil of 185 turns and radius 4.50 cm is placed inside and coaxial to a solenoid with 350 turns/m. If the current in the solenoid is represented by the equation I = a(1 − e−bt) where a = 12.5 A and b = 2.10 s−1, determine the magnitude of the induced emf in the coil when t = 1.50 s.

Answers

Answer 1

Answer:

Magnitude of the induced emf is 11.62 V

Explanation:

Given:

No. of turns of the circular coil, N=185

Radius, R=4.50 cm=0.045 m

No. of turns of solenoid per meter(m), n=350

a=12.5 A

b=2.10 [tex]s^{-1}[/tex]

Now,

To determine the emf induced in the coil at t = 1.50 s:

The given equation is:

[tex]I=a(1-e^{-bt})[/tex]

Now,

[tex]B=\mu_{o}nI=\mu_{o}na(1-e^{-bt})[/tex]

[tex]\frac{dB}{dt}=\mu_{o}nabe^{-bt}[/tex]

Now, substituting the respective values:

[tex]\frac{dB}{dt}=-4\pi\times 10^{-7}\times 350\times 12.5\times 2.10e^{-2.10\times 1.50}[/tex]

[tex]\frac{dB}{dt}=0.988\ T/s[/tex]

Now,

[tex]emf=NA\frac{dB}{dt}[/tex]

where,

A=Area=[tex]\pi R^{2}[/tex]

Thus,

[tex]emf=185\times \pi\times (4.50\times 10^{-2})^{2}\times 11.545e^{-3.15}[/tex]

[tex]emf=11.62 V[/tex]


Related Questions

If the light ray moves from inside the glass toward the glass–air interface at an angle of 30.0° to the normal, determine the angle of refraction.

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete, however, the relationship to between the angle of incidence and angle of refraction is best explained by snell's law with the equation below

ni sinθi = nr sinθr

where ni is the refractive index of the incident medium (assuming it's plate glass then 1.52)

nr is the refractive index of the refractive medium (1.33)

θi is the angle of incidence (30°)

θr is the angle of refraction (X)

If we substitute the values, we have

1.52 × sin 30 = 1.33 × sin X

1.52 × 0.5 = 1.33 × sin X

0.75 = 1.33 × sin X

sin X = 0.75/1.33

sin X = 0.571

X = sin⁻¹ 0.571

X = 34.82°

Thus, the angle of refraction will be 34.82°

Which dwarf planet has a moon nearly as large as itself?

Answers

Answer:

The answer is the Pluto.

does water not have anomalous expansion?​

Answers

Explanation:

The anomalous expansion of water is an abnormal property of water whereby it expands instead of contracting when the temperature goes from 4o C to 0o C, and it becomes less dense. ... The density becomes less and less as it freezes because molecules of water normally form open crystal structures when in solid form.

No. Water does not have anomalous expansion

what are fundamental quantities ​

Answers

Answer: length,  luminous intensity,mass, time, temperature, electric current, amount of a substance.

Explanation:

An object has density rho.

a. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the material of which the object is made. Will the density change? If so, by what factor? Explain.
b. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the object's mass. Will the density change? If so, by what factor? Explain.

Answers

Answer:

a. the density will not change

b. D' = 0.125 D

So, the density will change by a factor of 0.125

Explanation:

a.

Density is the material property and the value of density is constant for all solid materials. So, when the dimensions of the a solid are increased, while the material is same, then the material must be added to the object for increasing its dimensions. So, with the increase in the volume, the mass of the object also increases. And as a result the density of the object remains constant.

Since, here the material remains the same.

Therefore, the density will not change

b.

Density = mass/Volume

D = m/V   ------------ equation (1)

Now,

V = LWH   ----------- equation (2)

Now, if each dimension increases by a factor of 2, the volume becomes:

V' = (2L)(2W)(2H)

V' = 8 LWH

using equation (2)

V' = 8 V

So, for constant mass, density becomes:

D' = m/V'

D' = m/8V

using equation (1)

D' = D/8

D' = 0.125 D

So, the density will change by a factor of 0.125

(a) The density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.

(b)  With constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.

What is density of object?

The degree measure of the compactness of an object is known as the density of an object. Mathematically, it is expressed as the ratio of the mass of the object to its volume.

(a)

Let us consider an object of dimension 'a'. As per the above definition, the density of an object is,

[tex]\rho = \dfrac{m}{V}[/tex]

Here,

m is the mass of the object.

V is the volume of the object. And its value is, [tex]V = a^{3}[/tex].

So the density becomes,

[tex]\rho = \dfrac{m}{a^{3}}[/tex]  ..............................................................(1)

Now, if the dimensions of the object is increased by a factor of 2. Then, new density becomes,

[tex]\rho' =\dfrac{m}{(2a) \times (2a) \times (2a)}\\\\\\ \rho' =\dfrac{m}{8a^{3}}\\\\[/tex]

Substitute the value of equation (1) in the above expression as,

[tex]\rho' =\dfrac{1}{8} \times \dfrac{m}{a^{3}}\\\\\rho' =\dfrac{1}{8} \times \rho[/tex]

Thus, we can conclude that the density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.

(b)

The density of the material is equal to the ratio of the mass of the object (m) and the volume of the object (V). So, if the mass remains unchanged and the dimensions increased by the factor of 2, then the result will remain same as the above part.

Thus, we can conclude that with constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.

Learn more about the density here:

https://brainly.com/question/952755

Gravity pushes against all objects, trying to crush it. What pushes against gravity in: a main sequence star, a white dwarf, a neutron star, and a black hole?

Answers

Answer:

heat pressure, neutron degeneracy, electron degeneracy,nothing.

Explanation:

In main sequence star, gravity's inward pull is greatly balanced by the heat pressure. In the white dwarf, gravity is mainly balanced by the electron degeneracy pressure that arises from the fact that the electrons are fermions and they obey the Pauli's exclusion principle.  So there is no two electrons that have the same the four quantum numbers.

While in neutron star, the neutron degeneracy pressure obeys the Pauli's exclusion principle that gives rise to the degeneracy pressure and noting pushes against the gravity in the black hole. Therefore the correct option is the heat pressure, neutron degeneracy, electron degeneracy and nothing.

When a satellite is in orbit around the Earth, the force of the gravity on the satellite is...

Answers

Answer:

Is always towards the center of the Earth

Explanation:

Two men, Joel and Jerry, push against a wall. Jerry stops after 10 min, while Joel is able 1) to push for 5.0 min longer. Compare the work they do. A) Both men do positive work, but Joel does 25% more work than Jerry. B) Both men do positive work, but Joel does 75% more work than Jerry. C) Both men do positive work, but Jerry does 50% more work than Joel. D) Both men do positive work, but Joel does 50% more work than Jerry E) Neither of them does any work.

Answers

Answer:

the correct answer is E

Explanation:

Work is defined by the expression

        W = F. d

Where the bold indicates vectors, we can make the dot product explicit

         W = F d cos θ

We can see that this definition of work the two men apply a force, but the wall does not move, so if there is no displacement the work is zero.

When checking the correct answer is E

A student puts a besker of warm water next to a besker of cold water so that they fough which two statements are true? DA Thermal energy will move from the warm water to the cold water Thermal energy will move from the air to the cold water. Thermal energy utill move from the air to the warm water Thermal energy till move from the cold water to the warm water ​

Answers

Explanation:

so sorry

don't know but please mark me as brainliest please

The density for gold is 19.3 g/cm3. What would be the mass of a 45 cm3 piece of gold?

Answers

Answer:

868.5 g

Explanation:

Mass= Density x Volume

Mass= 19.3 x 45

=868.5

Answer:

675.5g

Explanation:

The formula for density is: D = m/V.

To solve this problem, we need to rearrange this formula to solve for mass:

m = D x V.

Next, we plug the given values in for density, D, and volume, V:

m = 19.3 g/cm3 x 35 cm3

So, m = 675.5 g

A machinist with normal vision has a near point at 25 cm. This machinist wears +4.25-diopter eyeglasses in order to do very close work. With these eyeglasses, what is the near point of the machinist?

a. 12 cm
b. 10 cm
c. 7 cm
d. 15 cm
e. 17 cm

Answers

Answer: 12cm.

Explanation:

First we need to calculate the focal length which will be:

= 100 / 4.25

= 23.529

The near point of the machinist will be solved using the equation:

1/u + 1/v = 1/f

where,

v = -25

f = 23.529

1/u + 1/v = 1/f

1/u - 1/25 = 1/23.529

1/u = 1/23.529 + 1/25

u = 12.12cm

u = 12cm approximately

Therefore, the near point of the machinist is 12cm

Only 35 % of the intensity of a polarized light wave passes through a polarizing filter. What is the angle between the electric field and the axis of the filter

Answers

Answer:

The angle between the electric field and the axis of the filter is 54⁰

Explanation:

Apply the equation for intensity of light through a polarizer.

[tex]I = I_oCos^2 \theta[/tex]

where;

I is the intensity of the transmitted light

I₀ is the intensity of the incident light

θ is the incident angle

If only 35 % of the intensity of a polarized light wave passes through a polarizing filter, then the ratio of the intensity of the transmitted light to that of the intensity of the incident light is given by;

[tex]\frac{I}{I_o} = Cos^2 \theta\\\\\frac{35}{100} = Cos^2 \theta\\\\Cos^2 \theta = 0.35\\\\Cos\theta = \sqrt{0.35} \\\\Cos\theta = 0.5916\\\\\theta = Cos^{-1}(0.5916)\\\\\theta = 54 ^0[/tex]

Therefore, the angle between the electric field and the axis of the filter is 54⁰

The angle between the electric field and the axis of the filter for the polarized light wave which passes through a polarizing filter is 54°.

What is electric field?

The electric field is the field, which is surrounded by the electric charged. The electric field is the electric force per unit charge.

From the Malus's law, the intensity of the polarized beam can be calculated with the following formula.

[tex]I=I_o\cos^2\theta[/tex]

Here, (I₀) is the intensity of the polarized beam incident on the observer θ is the angle of incident.

It is given that only 35 % of the intensity of a polarized light wave passes through a polarizing filter.

The angle between the electric field and the axis of the filter can be found out using the above formula as,

[tex]35\%=(100\%)\cos^2\theta\\\theta=\cos^{-1}\sqrt{\left(\dfrac{35}{100}\right)}\\\theta=54^o[/tex]

Hence, the angle between the electric field and the axis of the filter for the polarized light wave which passes through a polarizing filter is 54°.

Learn more about electric field here;

https://brainly.com/question/14372859

Under what conditions the reaction rate of an enzymolysis that follows Michaelis-Menten kinetics is a quarter of its maximum value?

a. [S]=KM
b. [S]=KM/3
c. [S]=2KM
d. [S]=KM+3
e. [S]= (KM)^1/3

Answers

Solution :

Michaelis-Menten kinetics in the field of biochemistry is considered as one of the well known models for enzyme kinetics. The model represents an equation that describes the enzymatic reactions's rate by relating the reaction rate to the substrate's concentration. The equation is named after the two famous scientists,  Leonor Michaelis and Maud Menten.

The formula is :

[tex]$v=\frac{V_{max}[S]}{K_M + [S]}$[/tex]

where v = velocity of reaction

           [tex]$V_{max}$[/tex] = maximum rate achieved

           [tex]$K_M$[/tex] = Michaelis constant

           [S] = concentration of the substrate, S

According to the question, by putting the velocity of reaction, v as [tex]$\frac{V_{max}}{4}$[/tex], we get the above equation as

[tex]$[S]= \frac{K_M}{3}$[/tex]

Therefore the answer is [tex]$[S]= \frac{K_M}{3}$[/tex]

A copper block rests 17.4 cm from the center of a steel turntable. The coefficient of static friction between block and surface is 0.465. The turntable starts from rest and rotates with a constant angular acceleration of 0.406 rad/s 2 . The acceleration of gravity is 9.8 m/s 2 . After what interval will the block start to slip on the turntable

Answers

Answer:

12.61 s

Explanation:

Given that

Distance from the center if the turntable, r = 17.4 cm = 0.174 m

Coefficient of static friction, μ = 0.465

Angular acceleration, α = 0.406 rad/s²

Acceleration due to gravity, g = 9.8 m/s²

We know that

F_max = μmg

Also, we know that

F = mω²r

Now, for slip to occur, both forces must be equal to one another, and thus

mω²r = μmg

ω²r = μg

ω² = μg/r

ω² = (0.465 * 9.8)/0.174

ω² = 4.557 / 0.174

ω² = 26.19

ω = √26.19

ω = 5.12 rad/s

t = ω/α

t = 5.12/0.406

t = 12.61 s.

Thus, after 12 seconds, the block will start to slip on the turntable

If an object has a mass of 47 kg and it is moved 27 meters in 60 seconds, how much power was used?

Answers

Answer: 207 W

Explanation: I assumed here that the object is moved vertically. If that is the case, the work done on the object is equal to its change in gravitational potential energy:

where

m = 47 kg is the mass of the object

g = 9.8 m/s^2 is the acceleration of gravity

is the change in height

Substituting,

Now we can calculate the power used, which is given by

Hope this helps I'm sorry if i'm wrong but I tried :(

What's the temperature 414K in degrees Celsius?

Answers

Answer:

212 I think

Explanation:

I looked it up

I need help ASAP
The water cycle functions because the matter in water changes:

a.forms
b.properties
c.minerals

Answers

Answer:

(a). forms.

Explanation:

Bro even i ain't sure.

Answer:

I think its A? Because in the water cycle it goes from a liquid to a gas?

Explanation:

While Barb was playing soccer, she was kicked in the anterior thigh by an opposing teammate. Due to this injury, what muscle function may she find difficult to perform?

Answers

Answer:

knee extension is the muscle function that will be difficult to perform.

Explanation:

Barb was kicked in the anterior thigh. Now, the thigh muscles performs a combined operation of moving the knee and leg and they reside in the following compartments.

- Anterior compartment which is composed of knee joint extension and thigh flexion.

- Lateral Compartment which is composed of the tensor fasciae latae, which is a tiny muscle that abducts and centrally will make the thigh to rotate.

-Medial compartment which involves thigh addiction which is rotating of the thigh around the hips.

- Posterior compartment which involves knee joint flexion and high extension.

Thus, from the different compartments listed above, we can see that the muscles that extend the knee and flex the thigh all lie in the anterior compartment of the upper leg.

Thus, we can conclude that knee extension is the muscle function that will be difficult to perform.

Imagine holding two identical bricks under water. Brick A is just beneath the surface of the water, while brick B is at a greater depth. What is the force needed to hold brick B in place? (Assume the density of water doesn't change with height.) a) the same as b) larger c) smaller than the force required to hold brick A in place.

Answers

Answer:

I think it's c

Explanation:

The brick's mass, helps to hold it under the water but brick A is being held up. If you dropped the brick, it would sink to the bottom. You need a stronger force to hold it up.

Hope this helps you! x

Buoyancy force is needed to hold brick B in place.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth. The brick's mass, helps to hold it under the water but brick A is being held up. If you dropped the brick, it would sink to the bottom. You need a stronger force to hold it up.

Buoyancy force is needed to hold brick B in place.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ6

A 1000 kg car and a 2000 kg car are lifted the same distance in a
mechanic's shop. Neglecting friction, raising the more massive car
requires

Answers

Answer:

Twice as much work

Explanation:

A metallic spherical shell has a charge density of 1 mC/m2 on its surface. The shell has radius of 7.5 cm. Determine the electric field magnitude (in kV/m) 10 meters away from the center of the shell.

Answers

Answer:

Explanation:

charge on the shell = 4πR²  x charge density

= 4 x 3.14 x 7.5² x 10⁻⁴ x 10⁻³ C

= 706.5 x 10⁻⁷ C  

electric field = k Q / d² , d is distance of point from centre

= 9 x 10⁹ x 706.5 x 10⁻⁷ / 10²

= 6358.5 N /C

= 6.358 kV / m

A 65-turn coil has a diameter of 14 cm. Find the magnitude of the emf induced in the coil (in V) if it is placed in a spatially uniform magnetic field of magnitude 0.65 T so that the face of the coil makes the following angles with the magnetic field, and the magnetic field is reduced to zero uniformly in 0.2 s.

Answers

Answer:

The value is [tex]\epsilon = 3.24 \ V[/tex]  

Explanation:

From the question we are told  that

    The number of turns is  n =  65

    The diameter is  [tex]d = 14 \ cm = 0.14 \ m[/tex]

    The magnetic field is  [tex]B_1 = 0.65 \ T[/tex]

    The time taken for the magnetic field to be reduced to [tex]B_2 = 0 \ T[/tex] is [tex]\Delta t = 0.2 s[/tex]

Generally the magnitude of the induced emf is mathematically represented as

        [tex]\epsilon = N * \frac{B_1 - B_2}{\Delta t } * A[/tex]

Here A is the area of the coil which is mathematically represented as

        [tex]A = \pi * \frac{d^2}{4}[/tex]

=>     [tex]A = 3.142 * \frac{0.14^2}{4}[/tex]

=>     [tex]A = 0.0154 \ m^2[/tex]

So

        [tex]\epsilon = 65 * \frac{0.65 - 0 }{0.2 } * 0.01534[/tex]  

=>    [tex]\epsilon = 3.24 \ V[/tex]  

please help im failing!!!

Answers

1- Kinetic , Mass , Speed
2- Speed
3- Speed, Mass
4- Mass, More
5- Transferred, collide
6- Kinetic, electricity
7- Transferred, Destroyed

:)

For a 99 kg person standing at the equator, what is the magnitude of the angular momentum about Earth's center due to Earth's rotation?

Answers

Answer:

L = 4.58 x 10⁴ kg.m²/s

Explanation:

The angular momentum is given by the formula:

L = mvr

but, v = rω

Therefore,

L = mr²ω

where,

L = Angular Momentum of the person = ?

m = mass of person = 99 kg

r = radius of earth = 6.37 x 10⁶ m

ω = Angular Speed of Earth's Rotation = θ/t

Since, earth completes 1 rotation in 1 day. Hence,

ω = (2π rad/1 day)(1 day/24 h)(1 h/3600 s)

ω =  7.27 x 10⁻⁵ rad/s

Therefore,

L = (99 kg)(6.37 x 10⁶ m)²(7.27 x 10⁻⁵ rad/s)

L = 4.58 x 10⁴ kg.m²/s

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV. What is the maximum kinetic energy of the photoelectrons emitted from the metal?

a. 4.52 eV
b. 3.11 ev
c. 141 eV
d. 2.82 eV
e. 1.70 eV

Answers

Answer:

Ke = 1.41 eV

Explanation:

We know that

h = 6.626 x 10⁻²⁴

c = 3 x 10⁸

λ = 4 x 10⁻⁹ x 1.6 x 10⁻¹⁹

Computation:

Ke = [hc / λ] - w

Ke = [(6.626 x 10⁻²⁴)(3 x 10⁸) / (4 x 10⁻⁹ x 1.6 x 10⁻¹⁹)] - 1.70

Ke = 1.41 eV

Someone help me please.

Answers

Answer:

ionic

ionic

covalent

covalent (i think)

Explanation:

ionic= donate electrons (gain/lose)... (results in ions that have +/- charge, are no longer neutral)

covalent= share electrons

A particle with charge q and mass m moving with speed v in the x direction enters a magnetic field of strength B pointing in the y direction. The magnitude of the acceleration of the particle as it travels one semicircle is

Answers

Answer:

The acceleration of the particle as it travels one semicircle is

[tex]a= \frac{\pi R}{t^2}[/tex]

Explanation:'

Kindly see attached a sketch of a semi-circle

Step one:

given data

velocity =v

let the time taken be t

The path PQM is the distance covered

so distance [tex]d= \pi R[/tex]

we know that time= distance/velocity

t= πR/v

step two:

velocity =distance/time

[tex]velocity=\frac{\pi R}{t}[/tex]

also, we know that acceleration is velocity/time

[tex]a= \frac{\pi R}{\frac{t}{t} }[/tex]

[tex]a= \frac{\pi R}{t}*\frac{1}{t}[/tex]

[tex]a= \frac{\pi R}{t^2}[/tex]

People have been able to make materials such as fiber optics cables A. using nails and screws. B. using glue and scissors. C. using rocks and stones. D. using science and technology.

Answers

Answer:

D

Explanation:

I need help with this science work

Answers

Please tell us the question and we will try to answer.

Sir what’s your question? You can write it down in the comments

At the focal point of a converging lens, the object cannot be seen. O A. True B. False​

Answers

Answer: True

Explanation: Guessed on A p E x and it was correct

Answer:

True

Explanation:

a p e x

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which acid is dangerous between vinegar,pure water,lemon juice and milk? Which racial or ethnic category has the largest number ofpoor families?Select one:a. whiteb. Asianc. Hispanicd. African American 1. Ebrima Kanteh works as a supervisor for an engineering company in Riyadh, Saudi Arabia. In the UK he had a reputation for speaking his mind and by doing so getting the best out of his staff. At the current project in Riyadh he supervises 12 British staff and nearly 50 Saudi staff. After a few months Ebrima has become increasingly frustrated by what he sees a less than effective Saudi team. Their lack of competence and slow work pace is worrying George. What should he do to try and bring the Saudi staff back into line? How do special interest groups have an impact on government policies? Select all that apply. In going from room temperature 25 to 35 the rate of a reaction doubles calculate the activation energy for the reaction what was the main causw of world awar 1 millitarism or alliances please please explain will mark brainliest and follow too Why did the value of paper money decrease after the Revolutionary War? 9. Select the value below that is between 0.5 and 0.65. *0.0553/46%5/9 A gold alloy contains 15 milligrams of gold for every 4 milligrams of copper. A jeweler uses 48 milligrams of copper to make the alloy. How much gold does the jeweler use to make the alloy?How many milligrams? IcticeBayWhat is a hypothesis?A. information collected from experimentsB. a widely accepted ideaC.a suggested answer to a problemD.a conclusion made based on facts a rock climber begins climbing at the altitude of 120 meters. she climbs at a rate of 25 meters per hour. which equation could be used to find the altitude of the rock climber, y, after x hours? Please help translate sentences into Spanish!!1. Where are you going to?2. Where are your parents from?3. I don't know who to go with.4. Who is this book for?5. What is this table made of?6. What does the presentation consist of?7. What do you put the sauce on?8. What was the meeting about? If you have different movie or audio file types saved to your computer and your computer can only play the OGG format instead of the MP4 video format, what should you do? HELP ME PLEASE************ Which sentence uses descriptive words the best? A. We skipped class so we could do stuff together, sometimes. B. I love to read nice long mystery books with colorful characters. C. The magazine was okay, I guess. D. He lost his things on the bus, too. What does the juxtaposition of thanksgiving and Black Friday reveal about the American identity and who we are as a society?HELPPPP PLEASEEE!!!!! 3. Which of the elements listed below would you expect to form ions with a positive one charge?ChlorineLithiumSodiumMagnesium Fill in the blanks with the correct tu commands of the verb HELP!!! this is due today and im super dumb :( pls help me the help will be very much appreciated. Name all the segments that is parallel to the given segment.