A long straight wire is parallel to one edge and is in the plane of a single-turn rectangular loop as shown. If the loop is moving in the plane shown so that the distance x changes at a constant rate of 20 cm/s, what is the magnitude of the emf induced in the loop at the instant x = 5.0 cm? Let / = 50 A, a = 50 cm, b = 6.0 cm.

Answers

Answer 1

Answer:

The magnitude of the emf induced in the loop is 2.4 × 10⁻⁵ V

Explanation:

The magnitude of the induced emf of a loop moving relative to a wire is given as follows;

The given parameters are;

I = 50 A, a = 50 cm, and b = 6.0 cm

The constant rate of change of x, v = 20 cm/s

Motional emf formula

The magnetic field due to the straight wire, B = μ₀·i/(2·π·x)

The flux given by the rectangular loop, Ф = BA =  μ₀·i/(2·π·x) × a × b

Therefore, we get;

[tex]e = \dfrac{-d\phi}{dt} = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \dfrac{d}{dt} \left (\dfrac{1}{x} \right ) = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \left (\dfrac{1}{x^2} \right ) \dfrac{dx}{dt}[/tex]

[tex]\because \dfrac{dx}{dt} = v[/tex]

Therefore;

[tex]e = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \left (\dfrac{1}{x^2} \right ) \dfrac{dx}{dt} = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \left (\dfrac{1}{x^2} \right ) \times v \left(\because \dfrac{dx}{dt} = v \right)[/tex]

μ₀ = 4·π × 10⁻⁷ H/m

We get;

[tex]e = \dfrac{4\cdot \pi \times 10^{-7} \, H/m\times50 \, A \times 0.5 \, m\times 0.06 \, m}{2 \cdot \pi} \times \left (\dfrac{1}{(0.05 \, m)^2} \right ) \times 0.2 \ m/s = 2.4 \times 10^{-5} \, V[/tex]

The induced emf, e = 2.4 × 10⁻⁵ V


Related Questions

Which of the following are
matter?
Chair, air, love, smell, hate,almonds, thought, cold, cold-drink, smell of perfume.​

Answers

Answer:

everything except smell,hate,love,cold

Answer:

chair, air, almonds, cold-drink, smell of perfume

Explanation:

Anything that occupies space and has mass is called matter. Matter can exist in three physical states which are the:

Solid state

Liquid state

Gaseous state

therefore:

Solids: chair and almonds

Liquids: cold-drink

Gas: air and smell of perfume

•Love, smell, hate, thought, and cold are not in the category of matter/are not considered matter

•The sense of smell is not considered a form of matter. However, the smell or odour of a substance is classified as matter.

-The smell of any substance (say, perfume) is the gaseous form of that substance our olfactory system can detect (even at deficient concentrations).

Hence, the smell of some substances is considered matter.

one of the rectangular components of the velocity 40ms^1 is 20 ms^1. find the other components ​

Answers

Answer:

The other component is 17.32m/s.

For more information

lemme so you how to solve it!

given velocity v = 20 m/s

let the given rectangular component is

cos somponent, so 10 = v cos x

so, other component will be sin component

i.e., v sin x

or, 10 = 20 cos x

or, cos x = 1/2 

and as sin^2 x + cos^2 x = 1

or, 1 - cos^2 x = sin^2 x

or, 1 - (1/2)^2 = sin^2 x

so, sin x = sqrt( 1 - 1/4)

or, sin x = sqrt(3/4)

so, rectangular component is 

20 sin x = 20 sqrt(3/4)

= 10 sqrt3

= 17.32 m/s

Explanation:

hope to help you (:

why are circuit breakers used in parts of national grid ?

Answers

Answer:

To protect control circuits or small devices with insufficient cutting power

Explanation:

mechanical energy that has been "lost" to friction has actually been destroyed.

Answers

Answer:

Yes

Explanation:

The friction is bigger than the mechanical energy so it kind off takes over the mechanical energy. but if the friction decreases mechanical energy can work on the object again

a baseball player hits a ball with 400 n of force.how much does the ball exert on the bat

Answers

Answer:

The ball exerts a force of 400 N on the bat.

Explanation:

Given that,

A baseball player hits a ball with 400 N of force.

We need to find the force the ball exert on the bat.

We know that,

According to Newton's third law, when object 1 exerts a force on an object 2, then object 2 will exert a force on object 1 but in opposite direction.

So, the ball exerts a force of 400 N on the bat.

A constellation’s changing position in the sky, at the same time of the evening, over a period of several weeks is evidence that:

a- Earth is round b- Earth’s axis is tilted. c- Earth rotates on its axis.
d- Earth revolves around the sun.

Answers

Answer:

d- Earth revolves around the sun.

Explanation:

Earth rotation can be defined as the amount of time taken by planet earth to complete its spinning movement on its axis.

This ultimately implies that, the rotation of earth refers to the time taken by earth to rotate once on its axis. One spinning movement of the earth on its axis takes approximately 24 hours to complete with respect to the sun.

On the other hand, earth revolution can be defined as a complete trip along a path around the sun. This path is known as an orbit and it typically takes the Earth 365¼ days to complete it's journey around the Sun.

When a constellation (stars) changes its position in the sky, at the same time of the evening and over a period of several weeks; it ultimately implies or is an evidence that Earth revolves around the sun.

interconversion of states of matter

Answers

Answer:

Interconversion of matter refers to change of one State to another. it is a process by which matter changes from one State to another and back to original state, without any change in it's chemical composition. Solid can be converted into liquids by heating

Explanation:

HOPE IT HELPS!!

PLZ I NEED BRAINLIEST!!!

when baking soda is added to a solution of citric acid, the temperature of the solution drops.

Answers

Answer:

i dont know guy sorry ha babu


Two friends are working out together using weights:
-James lifts 20kg weights up at a velocity of 1.9m/s
-Kayla lifts 15kg weights up at a velocity of 2.6m/s
0
Which friend is creating more momentum?

Answers

Answer:

Kayla. You can calculate it using the formula for momentum: momentum=mass×velocity and find the bigger number between the two momentums

When do we have positive/negative and zero acceleration.Write down the terms..................pls help mee

Answers

We have negative acceleration when an object projected upwards, while positive acceleration is a free fall.

Answer:

Positive acceleration is when an object is increasing its velocity, speeding up.

Negative acceleration is when an object is decreasing its velocity, slowing down from it’s motion.

Zero acceleration is when an object is either at rest or moving without speeding up or slowing down, in a constant way.

A sled with mass 11.00 kg moves in a straight line on a frictionless horizontal surface. At one point in its path, its speed is 4.00 m/s; after it has traveled a distance 3.00 m beyond this point, its speed is 7.00 m/s. Use the work-energy theorem to find the force acting on the sled, assuming that this force is constant and that it acts in the direction of the sled's motion.

Answers

Answer:

The magnitude of the force acting on the sled is 60.5 newtons.

Explanation:

The Work-Energy Theorem states that the work done by the external force applied on the sled ([tex]W[/tex]), in joules, is equal to the change of its translational kinetic energy ([tex]\Delta K[/tex]), in joules:

[tex]W = \Delta K[/tex] (1)

By definitions of work and translational kinetic energy we expand the equation above:

[tex]F\cdot s = \frac{1}{2}\cdot m\cdot (v_{2}^{2}-v_{1}^{2})[/tex] (1b)

Where:

[tex]F[/tex] - External force applied on the sled, in newtons.

[tex]s[/tex] - Travelled distance, in meters.

[tex]v_{1}, v_{2}[/tex] - Initial and final velocities, in meters per second.

If we know that [tex]m = 11\,kg[/tex], [tex]v_{1} = 4\,\frac{m}{s}[/tex], [tex]v_{2} = 7\,\frac{m}{s}[/tex] and [tex]s = 3\,m[/tex], then the external force applied on the sled is:

[tex]F = \frac{m\cdot (v_{2}^{2}-v_{1}^{2})}{2\cdot s}[/tex]

[tex]F = \frac{(11\,kg)\cdot \left[\left(7\,\frac{m}{s} \right)^{2}-\left(4\,\frac{m}{s} \right)^{2}\right]}{2\cdot (3\,m)}[/tex]

[tex]F = 60.5\,N[/tex]

The magnitude of the force acting on the sled is 60.5 newtons.

Describe the difference between a sidereal day and a solar day.

Answers

Answer:

a sidereal day is the time it takes for the earth to rotate about it axis so that the distant star appears In the same position in the sky while a solar day is the time it takes for the earth to rotate about it axis so that the sun appears in the same position in the sky

Activity 1 MATCH IT
Directions: Match Column A to Column B. Write your answer on the space provided before the number.

COLUMN A

__1. Hiking

__2. Orienteering

__3. Zumba

__4. Volleyball
__5.badminton

COLUMN B

A. It is an outdoor navigational recreational activity using specially drawn and detailed maps.

B. Created through on-the –spot aerobics class using the non- traditional music.

C.Going on an extended walk for the purpose of pleasure and exercise.

D. Can be traced from the ingenuity of William J. Morgan in 1895 at Holyoke Massachusetts.

E. Games are held inside the gym to avoid the effect of air in the flight of the shuttle.

Answers

Answer:

1. A hiking

2. C

3. B

4. D

5. E

please I need the answer right now will mark you brainliest ​

Answers

Answer:

Explanation:

what do u need help with

Answer:

that's for frequency other answers are coming soon

Which of the following is NOT a type of satellite?
a. a baseball thrown from pitcher to catcher

b. a rice bag being thrown towards a cornhole
c. a paper airplane being thrown
d. a jet ski tied to a dock

Answers

D. A jet ski tied to a dock

What happens when two polarizers are placed in a straight line, one behind the other?

A. They allow light to pass only if they are polarized in exactly the same direction.

B. They block all light if they are polarized in exactly the same direction.

C. They allow light to pass only if their directions of polarizations are exactly 90° apart.

D. They block all light if their directions of polarizations are exactly 90° apart.

E. They block all light If their directions of polarizations are either exactly the same or exactly 90° apart.

Answers

I’m not sure but I think the answer is d but I’m not that sure

which is heavier a kilogram of iron or a kilogram of feathers?​

Answers

Answer:

they both weight the same

Explanation:

they both weigh one kilo so they are the same

On Earth, 1 kg weighs 9.8 Newton's.

Doesn't matter what substance it's a kg of.

The pressure difference, , across a partial blockage in an artery (called a stenosis) is approximated by the equation where is the blood velocity, the blood viscosity , the blood density , the artery diameter, the area of the unobstructed artery, and the area of the stenosis. Determine the dimensions of the constants and . Would this equation be valid in any system of units

Answers

The question is incomplete. The complete question is  :

The pressure difference, Δp, ac[tex]K_u[/tex]ross a partial blockage in an artery (called a stenosis) is approximated by the equation :

[tex]$\Delta p=K_v\frac{\mu V}{D}+K_u\left(\frac{A_0}{A_1}-1\right)^2 \rho V^2$[/tex]

Where V is the blood velocity, μ the blood viscosity {FT/L2}, ρ the blood density {M/L3}, D the  artery diameter, [tex]A_0[/tex] the area of the unobstructed artery, and A1 the area of the stenosis.  Determine the dimensions of the constants [tex]K_v[/tex] and [tex]K_u[/tex]. Would this equation be valid in any  system of units?

Solution :

From the dimension homogeneity, we require :

[tex]$\Delta p=K_v\frac{\mu V}{D}+K_u\left(\frac{A_0}{A_1}-1\right)^2 \rho V^2$[/tex]

Here, x means dimension of x. i.e.

[tex]$[ML^{-1}T^{-2}]=\frac{[K_v][ML^{-1}T^{-1}][LT^{-1}]}{[L]}+[K_u][1][ML^{-3}][L^2T^{-2}]$[/tex]

                    [tex]$=[K_v][ML^{-1}T^{-2}]+[K_u][ML^{-1}T^{-2}]$[/tex]

So, [tex]$[K_u]=[K_v]=[1 ]=$[/tex] dimensionless

So, [tex]K_u[/tex] and [tex]K_v[/tex]  are dimensionless constants.

This equation will be working in any system of units. The constants [tex]K_u[/tex] and [tex]K_v[/tex] will be different for different system of units.

What does the survey reveal about your participation in rereational activity​

Answers

Answer:

uugizj8iwuu3ueugeeuieieyeueureir

Una prenda de 320gramos de ropa gira en el interior de una lavadora si dicha lavadora tiene 40 cm y gira con una frecuencia de 4 hz halla el periodo la velocidad angular la fuerza con la que gira la prenda y la velocidad lineal de la lavadora

Answers

Answer:

Período del tambor: [tex]T = 0.25\,s[/tex], fuerza sobre la prenda: [tex]F \approx 80.852\,N[/tex], velocidad lineal del tambor: [tex]v \approx 10.053\,\frac{m}{s}[/tex], velocidad angular del tambor: [tex]\omega \approx 25.133\,\frac{rad}{s}[/tex].

Explanation:

La expresión tiene un error por omisión, su forma correcta queda descrita a continuación:

"Una prenda de 320 gramos de ropa gira en el interior de una lavadora si dicha lavadora tiene un radio de 40 centímetros y gira con una frecuencia de 4 hertz. Halle a) el período, b) la velocidad angular, c) la fuerza con la que gira la prenda y d) la velocidad lineal de la lavadora."

El tambor gira a velocidad angular constante ([tex]\omega[/tex]), en radianes por segundo, lo cual significa que la prenda experimenta una aceleración centrífuga ([tex]a[/tex]), en metros por segundo al cuadrado. En primer lugar, calculamos el período de rotación del tambor ([tex]T[/tex]), en segundos:

[tex]T = \frac{1}{f}[/tex] (1)

Donde [tex]f[/tex] es la frecuencia, en hertz.

([tex]f = 4\,hz[/tex])

[tex]T = \frac{1}{4\,hz}[/tex]

[tex]T = 0.25\,s[/tex]

Ahora determinamos la fuerza aplicada sobre la prenda ([tex]F[/tex]), en newtons:

[tex]F = m\cdot a[/tex] (2)

[tex]F = \frac{4\pi^{2}\cdot m \cdot r}{T^{2}}[/tex] (2b)

Donde:

[tex]m[/tex] - Masa de la prenda, en kilogramos.

[tex]r[/tex] - Radio interior del tambor, en metros.

([tex]m = 0.32\,kg[/tex], [tex]r = 0.4\,m[/tex], [tex]T = 0.25\,s[/tex])

[tex]F = \frac{4\pi^{2}\cdot (0.32\,kg)\cdot (0.4\,m)}{(0.25\,s)^{2}}[/tex]

[tex]F \approx 80.852\,N[/tex]

La velocidad lineal de la lavadora es:

[tex]v = \frac{2\pi\cdot r}{T}[/tex] (3)

([tex]r = 0.4\,m[/tex], [tex]T = 0.25\,s[/tex])

[tex]v = \frac{2\pi\cdot (0.4\,m)}{0.25\,s}[/tex]

[tex]v \approx 10.053\,\frac{m}{s}[/tex]

Y la velocidad angular del tambor de la lavadora:

[tex]\omega = \frac{2\pi}{T}[/tex]

([tex]T = 0.25\,s[/tex])

[tex]\omega = \frac{2\pi}{0.25\,s}[/tex]

[tex]\omega \approx 25.133\,\frac{rad}{s}[/tex]

what happens if a voltmeter is connected in series with other components of the circuit (i.e , ammeter, cell, battery, resistor and wires). Why is it so? ​

Answers

Answer:the voltmeter measures the potential difference of the circuit,. Voltmeter is a device used to measure potential difference.

Explanation:

1.12kg ball rolls forward with a net acceleration of 1.11ms2. What is the net force on the ball?​

Answers

Explanation:

Force = Mass × Acceleration

→ F = (1.12 × 1.11) N

F = 1.2432 N

Given the following information, in which medium is the velocity of light the highest?

Answers

Plate glass or water

Eratosthenes measured the circumference of Earth to within 4% of the correct value
A. Looking at stick shadows on the equinox.
B. Noting how much more of the celestial sphere came into view when walking south.
C. Sighting the stars from within the deepest well in Egypt on the day of the solstice.
D. Using the detailed reports of far-sailing mariners

Answers

Answer:

A. Looking at stick shadows on the equinox.

Explanation:

He measures the circumference by placing a pole when the sun is overhead on the days of solstice. He determined the circumference by measuring the difference between  Alexandria to Syene and the angle of the pole's shadow.

The equation used for the calculation of circumference is as follow

[tex]\frac{360 degrew}{7.2 degree} = \frac{Circumference of earth}{Distance from Alexandria to Syene}[/tex]

Please refer to the following link for more details

https://www.khanacademy.org/humanities/big-history-project/solar-system-and-earth/knowing-solar-system-earth/a/eratosthenes-of-cyrene

help me with this please​

Answers

Answer:

Family

1. Definition of a family

A family is a group of people living together in a home related by blood, marriage or adoption.

2. Two function of the family are;

socialization for the children in the family.love and happiness should be in a family for it to be function.

3. Two types of family are;

Single parent family- this family includes one parent and his or her child, we can say it's an incomplete family.nuclear family- this family includes the two parents and their children or child, this family is known as the complete family.

4. Two roles and responsibilities of the parents and children in the home are;

both parents must and should protect their child or children from harm.the children must have respect for the family.

Accident in the Home

1. Definition of accident in the home

accidents in the home are common to persons of all ages, therefore home accidents occurs in one's home that may cause an result an injury of a person

2. Two types of accident in the home

fallsminor cuts and wounds

3. The two uses of cereals in cooking

Cereals in cooking are used as thickened agents.

4. complete table

1. minor cuts and wounds

Causes: these are caused by broken glasses, contact with sharp instruments such as knife, pins and needles.Prevention: this can be prevented by keeping the Sharp tools in safe places after used

2. Poisoning

Causes: poisoning can caused by in a result from children taking tablets for sweets, which can lead to death.preventions: you can prevent this by avoiding poisoning from the from the home or you could put it at a safe place that you know the child cannot get it.

Care labels

1. definition of care label

care labels can be defined as a permanent label or we can say a tag, which contains regular instructions that is attached at the back of a cloth.

3. two classification of carbohydrates

Monopoly

Durante su práctica un atleta recorre en línea recta una distancia de 900m en un tiempo de 170 segundos. ¿Cuál fue su rapidez promedio?

Answers

Answer:

Velocidad promedio = 5.29 m/s

Explanation:

Dados los siguientes datos;

Distancia = 900 m

Tiempo = 170 segundos

Para encontrar la velocidad media;

La velocidad se puede definir como la distancia recorrida por unidad de tiempo. La velocidad es una cantidad escalar y, como tal, tiene magnitud pero no dirección.

Matemáticamente, la velocidad viene dada por la fórmula;

[tex] Velocidad = \frac{distancia}{tiempo}[/tex]

Sustituyendo en la fórmula anterior;

[tex] Velocidad = \frac{900}{170}[/tex]

Velocidad = 5.29 m/s

Por lo tanto, la velocidad promedio del automóvil es 5.29 metros por segundo.

Two balls collide head-on in a perfectly inelastic collision. The first ball has a mass of 0.75 kg and an initial velocity of 5.0 m/s to the right. The second ball has a mass of 0.40 kg and an initial velocity of 3.5 m/s to the left. What is the decrease in kinetic energy during the collision?

Answers

Explanation:

Momentum conservation

V=3.38

Delta kinetic energy =1/2m(vi^2-v^2)

ΡΟ. . When preparing for any of the golf variation games (golf foot golf, disc golf), a person should consider the following before they start.
O Distance
O Terrain
O Wind Speed
O All of the above​

Answers

Answer:

All of the above

Explanation:

To ensure the ball go to where we expected it go

Which instrument changes kinetic energy into electrical energy?

electric motor

hair drier

electric bell

dynamo​

Answers

Answer:

Dynamo

Explanation:

As we all know, there are dynamos in bicycles. When we paddle the cycle, the wheels of the cycle rotates by generating kinetic energy. When the wheels rotate, the dynamo starts to rotate. This makes the motor inside the dynamo rotates and generate electrical energy.

Write the equation which links gravitational field strength,gravitational potential energy,height and mass

Answers

Answer:

PE = mgh

Explanation:

PE is potential energy

m is mass

g is gravitational field strength

h is height

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How did the evolution of photosynthetic prokaryotes affect the level of oxygen in the atmosphere? Sam is given three sets of wooden blocks, as shown. Sam will use the sets to model how rocks change during different parts of the rock cycle. Describe how Sam can arrange the sets of blocks to model how rocks change as a result of weathering. Justify your reasoning. Hola, aqu ustedes tambin tiene moderadores? y si tienen quienes son? u': Which of the following examples contains a subordinating conjunction? Read the passage from chapter 17 of The Prince.That it is true his other virtues would not have been sufficient for him may be proved by the case of Scipio, that most excellent man, not only of his own times but within the memory of man, against whom, nevertheless, his army rebelled in Spain; this arose from nothing but his too great forbearance, which gave his soldiers more license than is consistent with military discipline. For this he was upbraided in the Senate by Fabius Maximus, and called the corrupter of the Roman soldiery. The Locrians were laid waste by a legate of Scipio, yet they were not avenged by him, nor was the insolence of the legate punished, owing entirely to his easy nature. Insomuch that someone in the Senate, wishing to excuse him, said there were many men who knew much better how not to err than to correct the errors of others. This disposition, if he had been continued in the command, would have destroyed in time the fame and glory of Scipio; but, he being under the control of the Senate, this injurious characteristic not only concealed itself, but contributed to his glory.How does anecdotal evidence in this passage support the claim that cruelty is a necessary part of leadership?by showing how Scipio was too lenient and his army rebelledby depicting how leniency destroyed the Senateby showing how Fabius Maximus was feared in the Senateby showing how Scipios army rebelled, and how he stopped the rebellion PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution p/s PLEASE READ THIS pls ignore the another language just read the english one.. How did the governments total war effort affect Washington?It demoralized people who made sacrifices on the home front. It encouraged people to save food and money for themselves.It shrunk the economy and led to fewer manufacturing jobs.It boosted the economy and led to new manufacturing jobs. Hihi , please help if able. xy + x3 ( That 3 is cube ) Pls help Ill give brainless |x| =3 means that the distance between x and 0 is 3 / true or false The bus seats 36 people. The van seats 12 people. What portion of seats are van seats? 1. Melting ice caps can result in _____.A. a fall in sea levelB. colder temperaturesC. a rise in sea levelD. less precipitation a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used? Write the equation of the parabola in vertex form.I'll give you 52 points if you answer this please help me ..im begging you Toni goes to a department store and buys two shirts marked the same price. She pays full price for the first shirt but gets a 40% discount on the second shirt. If she pays a total of $32.40 for the two shirts, how much did she pay for the second shirt? -Please give a real answer PLEASE HELPP!!!!Find the probability that a randomly selected point within the circle falls in the white area. r= 4 cm 2.5 cm 3 cm 3 cm [? ]% Round to the nearest tenth of a percent. Given that a*b = 2ab - 3b. Determine 2*(3*5) Explain the role that gravitation played in the formation of the Moon after the large planetesimal hit