A circular coil consisting of 500 turns with an area of 6.0x10-4 m 2 is rotating in a uniform magnetic field. At the start, the normal to the coil is perpendicular to the magnetic field. After 15s, the normal to the coil is 60⸰ with the magnetic field. The average induced emf is -0.058V. What is the magnitude of the magnetic field?

Answers

Answer 1

The magnitude of the magnetic field in the coil is 21.65 T.

The given parameters;

number of turns, N = 500 turnsarea of the coil, A = [tex]6\times 10^{-4} \ m^2[/tex]change in time, t = 15 s

The induced emf in the coil is determined by applying Faradays law;

[tex]emf =N \frac{d\phi }{dt} \\\\emf = N ( \frac{\phi _2 - \phi_1}{t} )\\\\emf= N(\frac{BAsin\ 60 - BAsin\ 90}{t} )\\\\emf = NBA(\frac{sin60 - sn90}{t} )\\\\-0.058 = 500(6\times 10^{-4})\times B\times (\frac{0.866 - 1}{15} )\\\\-0.058 = -0.00268B\\\\B = \frac{0.058}{0.00268} \\\\B = 21.65 \ T[/tex]

Thus, the magnitude of the magnetic field in the coil is 21.65 T.

Learn more here:https://brainly.com/question/13369951


Related Questions

Please help, and give an explanation on what you did. Thanks a lot :]​

Answers

Answer:

3.0 m

Explanation:

The height of the wave is just 1.5 m + 1.5 m which equals 3.0 m

The internal energy is the total kinetic energy and __________ energy of all the particles that make up a system. What word completes the sentence?

Answers

Answer:

Potential

Explanation:

The internal energy is the total amount of kinetic energy and potential energy of all the particles in the system. When energy is given to raise the temperature, particles speed up and gain kinetic energy.

Hope this helps :)

give to examples of electrical energy being transformed into light?

Answers

Answer:

A lightbulb is connected to an outlet that has a source of electricity. The electrical energy is converted into light energy to allow the bulb to glow.

Explanation: Lightning is a discharge of static electricity. The lightning bolt lights up the sky.

Mention the methods of census and explain each of them in brief​

Answers

Answer:

Census includes the total process of collecting, compiling, analyzing, evaluating, publishing and disseminating statistical data regarding the population and housing and their geographical location. Population characteristics include demographic, social and economic data and are provided as of a particular date (reference period).

Census Methods:

Population censuses typically use one of two approaches:

De facto – meaning enumeration of individuals as of where they are found in the census, regardless of where they normally reside.

De jure - meaning enumeration of individuals as of where they usually reside, regardless of where they are on census day.

A car was driving at a speed of 10 m/s. In 3 seconds, it accelerated to a speed of 50 m/s. Calculate the car's acceleration.

30 m/s2

16.7 m/s2

13.3 m/s2

Answers

Answer:

[tex]\boxed {\boxed {\sf 13.3 \ m/s^2}}[/tex]

Explanation:

Acceleration is the rate of change of velocity with respect to time. It is the change in velocity over the change in time, and it is calculated using the following formula.

[tex]a= \frac{ v_f-v_i}{t}[/tex]

The car starts at a speed of 10 meters per second, then it accelerates to a speed of 50 meters per second. It achieves this acceleration in 3 seconds.

[tex]v_f[/tex]= 50 m/s[tex]v_i[/tex]= 10 m/s t= 3 s

Substitute the values into the formula.

[tex]a= \frac{50 \ m/s - 10 \ m/s}{3 \ s}[/tex]

Solve the numerator.

50 m/s -10 m/s= 40 m/s

[tex]a= \frac{40 \ m/s}{3 \ s}[/tex]

Divide.

[tex]a= 13.3333333 \ m/s/s[/tex]

[tex]a \approx 13.3 \ m/s^2[/tex]

The car's acceleration is approximately 13.3 meters per second squared.

The initial temperature of the mixture was +20 °C. The mixture froze at -1.5 °C.
A total of 165 kJ of internal energy was transferred from the mixture to cool and
freeze it.
specific heat capacity of the mixture = 3500 J/kg °C
specific latent heat of fusion of the mixture = 255 000 J/kg
Calculate the mass of the mixture.
Give your answer to 2 significant figures.
[6
M

Answers

Answe16000/3500(-1.5-2-)225000= 1.1

Explanation:

The mass of the mixture will be 2.19 ×10⁻³ kg. The unit of mass is kg and it is a scalar quantity.

What is mass?

Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.

In the International System of Units (SI), the kilogram is the unit of mass.

The given data in the problem is;

The initial temperature of the mixture was, [tex]\rm T_i = 20 ^0 \ C[/tex]

The mixture froze at the temperature of, [tex]\rm T_F = -1.5 ^0 \ C[/tex]

The internal energy is,[tex]\rm E = \rm 165 \ kJ[/tex]

The specific heat capacity of the mixture is,[tex]\rm C = 3500 J/kg ^0C[/tex]

The specific latent heat of fusion of the mixture is,[tex]\rm l = 255 000 J/kg[/tex]

m is the mass of the mixture,

The latent heat is equal to the heat transfer. Because the net work done is zero.

The formula for the heat transfer is found as;

[tex]\rm Q = mCdt \\\\ m = \frac{Q}{Cdt} \\\\ m = \frac{165 }{3500(20-(-1.5)} \\\\ m = 2.19 \times 10^{-3} \ kg[/tex]

Hence the mass of the mixture will be 2.19 ×10⁻³ kg.

To learn more about the mass refer to the link;

https://brainly.com/question/13073862

How would the gravity between two objects change if one object got bigger?

Answers

The correct answer is the 3rd answer, gravity would increase its pull on the small object

hope this helps! :)

I'LL MARK YOU BRAINLIST ......By referring to the graph shown below, the acceleration from t = 0 s to t = 25 s is:
positive
negative
zero
increasing

Answers

Answer:

When an object is speeding up, the acceleration is in the same direction as the velocity. Thus, this object has a positive acceleration. In Example B, the object is moving in the negative direction (i.e., has a negative velocity) and is slowing down.

Explanation:

Answer:

It’s zero.

Explanation:

It’s a straight line so its at a rest.

A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time?

Answers

Speed= distance/ time so distance = speed * time= 28 * 20= 560m .. so the answer is 560m.. l hope it helped :)

What is the velocity of a ball swung around on a rope with a
radius of 0.25 meters and period of 0.40 seconds?

Answers

A ball swung around on a rope of a radius of 0.25 meters in a time of 0.40 seconds, then the velocity of the ball will be equal to 3.925 m/s.

What is velocity?

Velocity is the rate of change of a traveling object's direction, as measured by a certain unit of time and as seen from a specific vantage point. Speed is a basic concept in kinematics, the branch of special relativity that studies how bodies move.

A scientific vector quantity called velocity must have both a magnitude and direction to be described.

As per the data provided in the question,

Radius, r = 0.25

Time, t = 0.40 seconds

Circumference of the circle, d = 2πr

d = 2π(0.25)

d = 1.570 m

Velocity, v = d / t

v = 1.570 / 0.40

v = 3.925 m/s.

Therefore, the velocity of the ball will be 3.925 m/s.

To know more about Velocity:

https://brainly.com/question/18084516

#SPJ2

A ball is released freely from the top of a building 80m high. Find its speed.​

Answers

At the top of the building, the speed of the ball is zero.

The speed increases steadily as the ball falls.

When it hits the street, its speed is 39.6 m/s.

A plane flying above the ground has 60,000 joules of kinetic energy and 6,000 joules off gravitational potential energy. How much mechanical energy does the plane have?

Answers

Answer:

66,000J

Explanation:

Mechanical energy = Gravitational energy + Kinetic Energy

ME = 6,000 + 60,000 = 66000 J

• What net force is needed to accelerate a 1200 kg car along a
horizontal surface from rest to 130 km/h in 80 seconds?

Answers

Hi there!

We can begin by converting 130 km/h to m/s:

[tex]\frac{130km}{1hr} * \frac{1hr}{3600s} * \frac{1000m}{1km} = 36.11 m/s[/tex]

Find the acceleration associated with this velocity change in the given time frame:

vf = vi + at (vi = 0 m/s)

vf = at

vf/t = a

36.11/80 = 0.45 m/s²

Now, we can calculate Net Force using Newton's Second Law:

∑F = ma

∑F = (1200)(0.45) ≈ 540 N

Can you achieve Light Speed with a Perpertual Motion Machine containing High Energy?​

Answers

Answer:

Yes

Explanation:

Perpetual Motion Machine (PMM) which can be applied to produce electricity, may be an alternative solution for the problem the world is facing today. The machine is designed to generate power from repulsive forces of permanent magnet without utilizing external sources.

Josh and jake are both helping to build a brick wall which is 6 meters in height. They each lay 250 bricks, but josh finishes this task in 3 hours while jake requires 4.5 hours to complete his part. Who does more work, or do they both do the same amounth? Who has more power? Explain.

Answers

Each laid 250 bricks but while Jake was
still working, Josh was lounging in the
shade. Josh has more power but that
power was only on for 3 hours out of 4.5.
Obviously Josh could get more done is less
time as long as he keeps working. Jake will
get the hang of it soon.

Cho mạch điện gồm ba điện trở mắc nối tiếp nhau. Biết R 1 = 8Ω, R 2 = 12Ω, R 3 = 4Ω. Hiệu điện thế giữa hai đầu đoạn mạch U = 48V. Tính hiệu điện thế giữa hai đầu mỗi điện trở.

Answers

56gq2391$/= 343568

hope u understand me


Usain Bolt has a mass of 94.1 kg and he had a KE of 7,250 J when running the one hundred meter dash. Calculate how fast he was running

Answers

Answer:

[tex]\displaystyle v = 12.4134 \ m/s[/tex]

General Formulas and Concepts:

Energy

Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]

m is mass (in kg)v is velocity (in m/s)

Explanation:

Step 1: Define

Identify variables.

KE = 7250 J

m= 94.1 kg

Step 2: Solve for v

Substitute in variables [Kinetic Energy Formula]:                                       [tex]\displaystyle 7250 = \frac{1}{2}(94.1)v^2[/tex]Isolate v term:                                                                                               [tex]\displaystyle 154.091 = v^2[/tex]Isolate v:                                                                                                         [tex]\displaystyle v = 12.4134[/tex]

Topic: AP Physics 1 - Algebra Based

Unit: Energy

foetus grows by receiving nutriens and oxygen from the mother. How does the foetus receive these nutriens and oxygen?​

Answers

Answer:

From the very beginning, the developing cells need oxygen and nutrients. The fetus receives its nutrition from the mother through the placenta and the umbilical cord.

Explanation:

Which country is considered to have one of the best ski teams in the world?

Answers

Answer:

France

Explanation:

France is the undisputed champion in the world of skiing.

20 examples of electropositive radical

Answers

What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water

the schwarzschild radius of a black hole depends on

Answers

Answer:

The mass of the object.

Explanation:

Happy Thanksgiving!

The Schwarzschild radius of a black hole depends solely on its mass. The Schwarzschild radius is a concept in general relativity that defines the boundary known as the event horizon.

The formula for the Schwarzschild radius is given by:

r_s = 2GM / c²

Where: r_s is the Schwarzschild radius

As the mass of the black hole increases, its Schwarzschild radius also increases. This means that a more massive black hole has a larger event horizon and a stronger gravitational pull.

The mass of the black hole is the primary factor determining the size of the Schwarzschild radius, while other properties, such as spin or charge, can also affect the structure and behavior of the black hole but do not directly impact the Schwarzschild radius.

Therefore,The Schwarzschild radius of a black hole depends solely on its mass.

To know more about the Schwarzschild radius:

https://brainly.com/question/29534114

#SPJ6

In a titration, 50.00 cm3 of 0.300 mol/dm3
sodium hydroxide solution is exactly neutralized by 25.0
cm3 of a dilute solution of hydrochloric acid.
NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
Calculate the concentration of the hydrochloric acid. Show your work out

PLS URGENT ANS

Answers

Answer:

Step 1: Calculate the amount of sodium hydroxide in moles

Volume of sodium hydroxide solution = 50.0 ÷ 1,000 = 0.05 dm3

Rearrange:

Concentration in mol/dm3 = amount of solute in molvolume in dm3

Amount of solutein mol = concentration in mol/dm3 × volume in dm3

Amount of sodium hydroxide = 0.300 × 0.05

= 0.01 5mol

Step 2: Find the amount of hydrochloric acid in moles

The balanced equation is: NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)

So the mole ratio NaOH:HCl is 1:1

Therefore 0.015 mol of NaOH reacts with 0.015 mol of HCl

Step 3: Calculate the concentration of hydrochloric acid in mol/dm3

Volume of hydrochloric acid = 25.00 ÷ 1000 = 0.025 dm3

Concentration in mol/dm3 = amount of solute in molvolume in dm3

Concentration in mol/dm3 = 0.015/0.025

= 0.6 mol/dm3

Step 4: Calculate the concentration of hydrochloric acid in g/dm3

Relative formula mass of HCl = 1 + 35.5 = 36.5

Mass = relative formula mass × amount

Mass of HCl = 36.5 × 0.6

= 21.9 g

So concentration = 21.9 g/dm3

Find the gravitational potential energy of a body of mass 25kg,kept at a height of 4m If g=10m/s'.

Answers

Answer:

Explanation:E=mgh=25×4×10=1000J

the ground wire on a household circuit is typically what color

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

Green & Yellow

Hope it helps!

Brainliest pls!

Follow me! :)

The ground wire on a household circuit is green in color in a typical household

What is an electric charge?

Charged material experiences a force when it is subjected to an electromagnetic field due to the physical property of electric charge. You can have positive or negative electric charges (commonly carried by protons and electrons respectively). opposing charges attract one another whereas similar charges repel one another. We refer to an object as neutral if it has no net charge.

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The ground wire is either bare or has green insulation in most residential branch circuit cables in the US.

The norm in Europe and the UK is

live, brown

neutral is blue.

stripes with green and yellow: earth.

Thus,the ground wire on a household circuit is green in color in a typical household

Learn more about an electric charge from here

brainly.com/question/8163163

#SPJ6

in an rfid system, where would the unique data identifying an item typically be found?

Answers

In a radio frequency identification (RFID) system, the unique data identifying an item are typically found in: tags.

What is an RFID system?

RFID is an acronym for radio frequency identification.

A RFID system can be defined as an automatic, wireless, identification technology (device) that is typically designed to allow end users store and retrieve information, especially through the use of an electromagnetic field.

The operational benefits of an RFID system:

Generally, a radio frequency identification (RFID) system is used for the following:

1. To identify an item or individual.

2. To trace and tracking an item or individual.

3. To track an item or individual.

The components of an RFID system:

An RFID system is a wireless, identification technology (device) that comprises two (2) main components and these are:

ReadersTags

Tags refer to small objects containing an antenna and a chip (smart barcodes) that are used to automatically identify an item or individual they are embedded in or attached to.

In conclusion, the unique data that are used in identifying an item are typically found in tags.

Read more on RFID tags here: https://brainly.com/question/24167692

can someone pls help me in this q

Answers

Answer: B

Explanation:

An object of mass of 2.0 kg rotates at constant speed in a horizontal circle of radius 5.0 m. The time
for one complete revolution is 3.0 s. What is the magnitude of the resultant force acting on the object.

Answers

Explanation:

follow the above attachment to get the answer.

HELP PLEASE
2. What is the potential energy of a 2000 g basketball that is stuck on the rim of a 3m hoop?

Answers

Answer:

[tex]U_g=58.86 J[/tex] or [tex]U_g=60 J[/tex]

Explanation:

Answer is attached. I do not know if you needed to use 9.81 or 10 for the acceleration due to gravity, so both solutions are attached.


[tex] \huge \mathcal{Question}[/tex]


Can someone Help me with this question ?

(I need proper Explanation if possible)

Thanks for Answering ~ ​

Answers

Answer:

c. Force applied is 75 N

EDITED

tan 37 = a/g

a = 3g/4

a in equation

t× 3/5 = 2 × 3g/4

t = 5× 10/2

t = 25n

f = ma

f = ( mt + mb )a

F = 10 × 3× 10/4

F = 75 n

• Correct option is (C).

We know that the angle made by string is θ=

[tex]tan {}^{ - 1} ( \frac{a}{g} )[/tex]

where a is the acceleration of the frame in which the string is hanging in our case it is a trolley.

[tex]putting  \: θ=37° \: or \: tan \: 37° = \frac{3}{4} [/tex]

[tex]we \: get \: a \: \frac{3g}{4} = \frac{30}{4} = 7.5 \: m/s^2[/tex]

[tex] \boxed{Force \:  F=total  \: mass \:  of \:  the  \: system \:  on  \: which  \: force  \: is  \: acting ×acceleration  \: of  \: the  \: system=(8+2)×7.5=75 }[/tex]

[tex] \boxed{ so \: force \: is \: 75 \:N. }[/tex]

A stomp rocket takes 3.1 seconds to reach its maximum height.
What was its maximum height?

Answers

Answer:

height where rocket goes

[tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

Other Questions
Which of the following examples would provide the best evidence to support the idea that it is important for geographers to understand religion?A: Most migrants change both their religions and their languages when they move to a new place.B: Christianity, Judaism, and Islam share many of the same principles and even some of the same holy figures.C: While Buddhism has its roots in Asia, it is becoming increasingly popular with people in other parts of the world.D: Early Christians migrated around the world to spread their religion, which has become the most prevalent world religion today.E: It is difficult to study African religions given their variety and the widespread lack of written traditions in some African cultures.Please answer me as soon as possible, thank you. 5x-3y=307x-3y=36elimantion method Which of the following is a structure of the lower respiratory tract? Help help help help help help help help help write a storywhich starts with these words: It was awarm sunny day when the journey began. movie theaters lowered prices during the great depression because: What are the x and y -intercepts for the equation 5x - 4y = 10 Evaluate a + b + cd if a = 7/8 b = -7/16 and c= .8 d = 1/4 Write your answer as a fraction in simplest form. The volume of a cube is 496cmWork out the length of its side rounded to 1 DPcm explain the significance of chemical digestion!! marking brainliest please help How can a bank help Millennial and Gen Z consumers plan to start a family? l=3cmb=4cmh=2cm Can u pls help 50 points! Help (Vectors) A painting that incorporates many different painting media and materials is classified as________ painting. What is a symptom of too much stress over a long period of time?-insomnia-hallucinations-elevated antibodies-low-grade fever Which sentence needs a semicolon added to it?lesA) Whenever I feel afraid I just whistle ahappy tune while I'm walkingB) Ralph's mother constantly naggedhim about his raggedy school clothing.C) Some people prefer to write on acomputer others like to use pen andpaper.D) The t-shirts in the gift shop wereunbelievably over-priced for such asimple design. A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop12 seconds8 seconds4 seconds2 seconds When the marked price and selling price after discount are given write the formula to find the rate of discount. Which of the following frequencies of light has the lowest energy? who my fav celeb who ever can guess it close to the name gets brainest