You are working as an electrical technician. One day, out in CR the field, you need an inductor but cannot find one. Look- ing in your wire supply cabinet, you find a cardboard tube with single-conductor wire wrapped uniformly around it to form a solenoid. You carefully count the turns of wire and find that there are 580 turns. The diameter of the tube is 8.00 cm, and the length of the wire-wrapped portion is 36.0 cm. You pull out your calculator to determine:

a. the inductance of the coil
b. the emf generated in it if the current in the wire increases at the rate of 4.00 A/s.

Answers

Answer 1

Explanation:

Given info: The Number of turns in the wire is 580 the diameter of  

tube is [tex]8.00 \mathrm{~cm}[/tex] and the length of the tube up to which wire is wrapped is [tex]36.0 \mathrm{~cm}[/tex].  

Formula to calculate the inductance of the coil is,  

[tex]L=\frac{\mu_{0} N^{2} A}{l}[/tex]  

Here,  

[tex]L[/tex] is inductance of the coil.  

[tex]\mu_{0}[/tex] is the permittivity.  

[tex]N[/tex] is the number of turns.  

[tex]l[/tex] is the length up to which wire is wrapped.  

[tex]A[/tex] is the cross sectional area of the coil.  

The expression for the area is,  

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

Substitute [tex]\frac{\pi d^{2}}{4}[tex] for [tex]A[/tex] in equation (1).  

[tex]L=\frac{\left(\mu_{0} N^{2}\right) \frac{d d^{2}}{4}}{l}[/tex]

Substitute 580 for [tex]N, 4 \pi \times 10^{-7}[tex] for [tex]\mu_{0}, 8.00 \mathrm{~cm}[tex] for [tex]d[tex] and [tex]36.0 \mathrm{~cm}[tex] for [tex]l .[/tex]  

[tex]\begin{array}{c}  

=\frac{4 \pi \times 10^{-7} \times 580 \times 580 \times \frac{x(8.00 \mathrm{~cm} \times 8.00 \mathrm{~cm})}{4}}{36 \mathrm{~cm}} \\  

=5.90 \mathrm{mH}  

\end{array} [/tex]

Conclusion:  

Therefore, the inductance of the given single conductor wire is  

[tex]5.90 \mathrm{mH} .[/tex]

Given info: The rate of increasing current [tex]4.00 \mathrm{~A} / \mathrm{s}[/tex] and the inductance of the coil [tex]5.90 \mathrm{mH}[/tex].

The generated emf is,

[tex]

\varepsilon=L \frac{d i}{d t}

[/tex]

Here,

[tex]\varepsilon[/tex] is the generated emf.

[tex]L[tex] is the inductance of the coil.

[tex]\frac{d i}{d t}[tex] is the rate of change of current.

Substitute [tex]5.90 \mathrm{mH}[tex] for [tex]L[tex] and [tex]4.00 \mathrm{~A} / \mathrm{s}[tex] for [tex]\frac{d i}{d t}[/tex]

[tex]\begin{array}{c}

\varepsilon=5.90 \mathrm{mH} \times 4.00 \mathrm{~A} / \mathrm{s} \\

= & 23.6 \mathrm{mV}

\end{array}[/tex]

Conclusion:

Therefore, the generated emf is [tex]23.6 \mathrm{mV}[/tex].


Related Questions

am soo confused what is conclusions in physics

Answers

Conclusion summarizes the results that either support or contradict your original hypothesis.

A lift moves up and down with an acceleration of 3 metre per second square .in each case calculate the relation of the floor on each man of mass 50 kg standing on a lift.​

Answers

Answer:

[tex]150\ N[/tex]

Explanation:

[tex]We\ are\ given:\\Acceleration\ of\ the\ elevator= 3\ m/s^2\\Assumed\ mass\ of\ the\ man\ standing\ on\ it=50\ kg\\We\ know\ that,\\Force=Mass*Acceleration\\Or,\\F=ma\\Hence,\\Substituting\ m=50, a=3\ m/s^2,\\Force\ acting\ on\ the\ floor\ of\ the\ elevator=3*50=150\ Newtons[/tex]

In the image below, a worker is pushing a crate with a mass of 25 kg up a ramp at a constant rate. Ignoring friction, how much force must the worker apply so that the crate continues to move at the same speed? (Recall that g =
9.8 m/s2)

A. 35.3N
B. 83.8N
C. 50.2N
D. 16.2N

Answers

The image is missing, so i have attached it.

Answer:

B. 83.8N

Explanation:

The mass of the worker is 25 kg

From the image, the angle of the ramp is 20°

To find the force that the worker must apply to make the crate continue to move at the same speed, we will use the formula;

F = mg sin θ

F = 25 × 9.8 × sin 20

F ≈ 83.8 N

1-Which is a true statement?
The nucleus is found in the center of atoms and contain protons and electrons
The nucleus is found in the center of atoms and contain protons and neutrons
Electrons have a neutral charge
Neutrons have a negative charge

2-What is the role of electrons within an atom?
Electrons are in the nucleus and have a negative charge
Electrons are in the nucleus and have a positive charge
Electrons are outside nucleus and have a negative charge
Electrons are outside nucleus and have a positive charge

Answers

Answer:

1 - The nucleus is found in the center of atoms and contains protons and neutrons.

2 - Electrons are outside (orbit) the nucleus and have a negative charge.

Explanation:

Protons are positively charged.

Neutrons are neutral.

Electrons are negatively charged.

I hope that helps!! ^-^


Which of the following statements concerning moral development is not true?
Please select the best answer from the choices provided
O Children generally become better at telling the difference between moral and conventional transgressions
as they age.
Children commonly use internal standards to reason about behavior at an early age
C What is determined as right or wrong is universally defined and agreed upon.
Parental views on what is right and wrong greatly influence children's moral reasoning.
Mark this and retuth

Answers

Answer:

C- what is determined as right or wrong is universally defined and agreed upon.

Explanation:

Correct on edge

Answer:

C. What is determined as right or wrong is universally defined and agreed upon.

Explanation:

Edg. 2021

All other options are true statements while this one is not.

PLEASE HELP!!!!! ILL GIVE BRAINIEST IF ANSWER IS CORRECT!!!!
An electron is pushed eastwards with a force of 1.64 x 10-21 N when placed in an electric
field. Determine the
(a) magnitude and
(b) direction of the electric field.

Answers

Answer: 1.02 x 10^-2 N/C to the east

Explanation:

Hi,

To find the magnitude of the electric field in this problem, you simply have to use the formula F = qE

F = Force

q = charge of the particle

E = magnitude of the electric field

Here, we are told that a force is being acted on an electron and we aren't told any specific quantity of charge for the electron. Therefore, we can assume that the charge of the electron will be its conventional charge of 1.602 x 10^-19 C

We are also given the force which is 1.64 x 10^-21 N

We solve for E

E = F/q

We plug in

E = (1.64 x 10^-21 N)/(1.602 x 10^-19 C)

E = 1.02 x 10^-2 N/C

The direction will be the east because the angle didn't change.

explain in details the concept of economic geography​

Answers

Answer:

In the words of Hartshorn and Alexander: “Economic Geography is the study of the spatial variation on the earth’s surface of activities related to producing, exchanging and consuming goods and services. Whenever possible the goal is to develop generalizations and theories to account for these spatial variations.”

Explanation:

Which chemical formula represents the composition of a mineral that usually exhibits fracture, not cleavage?
Mg3Si4010(OH)2

NaCi

CaCo3

(Fe,Mg)2Si04

Answers

Answer:

(Fe,Mg)2SiO4

Explanation:

Trust

The chemical formula that represents a mineral which exhibits fracture is

( D) : ( Fe, Mg )2SiO₄

Minerals that exhibit fracture break across its curved surfaces due to the absence of weak points along the minerals. Such breaks occur irregularly and produce irregular shapes.  

Fractures occur in fine-grained minerals and also some crystalline minerals. and from the options the chemical formula that represents a mineral which exhibits fracture is ( Fe, Mg )2SiO₄.

Hence we can conclude that The chemical formula that represents a mineral which exhibits fracture is ( Fe, Mg )2SiO₄

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Timed plz hurry
Research indicates that individuals experiencing depression often experience anxiety disorders.
Please select the best answer from the choices provided
T/f?

Answers

Answer:

True

Explanation:

Research indicating that individuals experiencing depression often experience anxiety disorders is a true statement.

What is Depression?

This health disorder is characterized by loss of interest in activities as a result of depressed mood.

Individuals who have depression often experience anxiety disorders such as panic attacks etc.

Read more about Depression here https://brainly.com/question/441267

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The word “virtual” refers to something that exists in effect but not in actual fact. How does this definition relate to the virtual image you see of yourself in a plane mirror?

Answers

Because you see yourself the opposite way in a mirror. So yes your “seeing” yourself but not how everyone else sees you.

Answer:

The image seems to be behind the mirror, but nothing is really there.

Explanation:

Sample response edge 2021

A dart in a toy dart gun is pressed 4 cm against a spring. if it has 1.5 J of stored potential energy what is the spring constant?

Answers

U = 0.5k(x^2)
1.5 J = 0.5k(0.04m^2)
k = 1875 N/m

Check my math i might be wrong

Random question, if Tanjoro, Zenitsu, and other Demon Slayers can conjure elements with their swords, then can we do the same?
A) HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH
B) Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)
C) These physics don't match up...
D) Their freakin' anime characters... of course not..

Answers

Answer:

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

Explanation:

-takes some random sword and tries to do water breathing- Nope, doesn't work q-q

Answer:

Explanation: BOTH A AND B

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

 Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)


A skydiver has jumped out of an aircraft but has not yet opened her
parachute.
Which of these statements best describes what is happening?

1. She is pushed towards the Earth by the force of gravity.

2.She is pulled towards the Earth by the force of gravity.

3.She is pulled towards the Earth by air resistance.

4. She is pushed towards the Earth by air resistance.​

Answers

Answer:

2

Explanation:

She's attracted with a great force back to earth's surface

Explain why a tractor's big tyres stop it sinking too
far into soft soil.​

Answers

big tires

Explanation:

Answer: Tractors with big tyres have larger contact area on ground. Since the area is large, the pressure acting becomes small and it can roll on ground easily with out the danger of sinking in ground.

one way we can care for our ear​

Answers

keep your ear clean....

Good luck on your assignment and enjoy your day!

Most individuals over 65 years of age

Answers

Suffer from arthritis
Most people over 65 lead active independent lives. My mother is 88 years old & she drives & is perfectly able to take care of herself except for always wanting someone to help her with her iPad or computer. If that were a choice, I would pick that!

Which of the following is NOT a natural source of light?


neon light
lightening
stars
fire

plssssssssss help i put 30 points pls answer correctly
it is scince

Answers

Answer:

neon light

all the others are natural phenomenon

Lightening if u mean like table light, lamps and stuff. But if u mean lightning as like thunder, then I believe it’s neon light

2. The car slows down from 36 m/s to 15 m/s over a 3.0 second time interval. What is its average acceleration?

Answers

Answer:

9 meter per second square

Explanation:

acceleration equation is final minus initial velocity divided by time in seconds.

36-15/3=9 meter per second square.

Answer:

wendys

Explanation:nutz go in yo mouth

2. Calculate the kinetic energy of a football being launched downfield by Patrick Mahomes. The football has a mass of .5 kg and is thrown at a velocity of 25 m/s. Find the kinetic energy.​

Answers

Answer:

K.E = 156.25 Joules.

Explanation:

Given the following data;

Mass = 0.5kg

Velocity = 25 m/s

To find the kinetic energy;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the equation, we have;

[tex] K.E = \frac{1}{2}0.5*25^{2}[/tex]

[tex] K.E = 0.25 * 625 [/tex]

K.E = 156.25 Joules.

A 2500 kg truck traveling at 80.0 km/h comes to stop in a time of 4.25 seconds. What is the force exerted on the truck?

Answers

Answer:

First there is a need to convert 80.0 km/h to m/s. It is equivalent to (200 / 9) m/s. Because the body stops after 4.25 seconds, its acceleration is -(200/9/4.25) m/s^2. The needed force to stop the 2500 kg truck is equal to the product of its mass and its acceleration.

Solving for the net force to stop the 2500 kg truck

Force = mass * acceleration

Force = 2500 kg * -(200/9/4.25) m/s^2

Force = −13072 N or about −13.07 kN

The force exerted on the truck is −13072 N or about −13.07 kN

Can anyone answer this please?

Answers

B is the correct answer according to my calculations.
1/c1 + 1/c2 + 1/c4 + 1/c5 + 1/c6 = 1/c total (parallel)

1/18×10-⁶ + 1/7×10−³ + 1/0.8 + 1/200×10−³ + 1/750×10−⁶

so in parallel = 57037^-¹


57037^-¹ + 14×10−³


0.014 F

so option A is correct

The area of a piston of a force pump is 8 X 10⁴m². What force must be
applied to the piston to raise oil (d = 780 Kg/mº) to a height of 6.0 m? Assume
the upper end of the oil is open to the atmosphere.​

Answers

Answer:

Force of [tex]37.44 * 10^{8}[/tex] Kgm/s^2 must be  applied to the piston to raise oil to a height of 6.0 m

Explanation:

As we know,

Pressure is the force per unit area

Or [tex]P = \frac{F}{A}[/tex]

Force [tex]= P * A[/tex]

Pressure is the product of density, gravitational constant and height

[tex]P = 780 * 10 * 6[/tex]

Force

[tex]= P * A\\= 780 * 10*6*8*10^4\\= 37.44 * 10^{8}[/tex]Kgm/s^2

The force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N. Force is defined as the ratio of presure and area. Its unit is Newton.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

The given data in the problem is;

A is the area of a piston = 8 X 10⁴m².

F is the force=?

h is the height = 6.0 m

Force is defined as the ratio of presure and area. Its unit is Newton.

[tex]\rm P = \frac{F}{A} \\\\ \rm F = P \times A \\\\ \rm F = 780 \times 10^6 \times 8 \times 10^4 \\\\ \rm F = 37.44 \times 10^8[/tex]

Hence the force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N.

To learn more about the force refer to the link;

https://brainly.com/question/26115859

A constant current source supplies a electric current of 200 mA to a load of 2kΩ. When the load changed to 50Ω, the load current will be

8A
9mA
700mA
12A​

Answers

Answer:

700ma

Explanation:

all u do is have to add them up.

Ohm's law allows us to calculate the result for the value of the current when we change the resistance of the circuit:

The current is: i = 8 A

Ohm's law establishes that voltage is proportional to current and we call the constant of proportionality resistance in a circuit.

           V = i R

Where V is the voltage, i the current and R the resistance of the circuit.

They indicate that the source supplies a current of i = 200 mA = 0.200 A at a load of R = 2 kΩ = 2 10³ Ω

Let's find the source voltage.

           V = 0.200 2 10³

           v = 400 V

Now with this voltage let's find the current for the new load of R = 50 Ω

          i = V / R

          i = 400/50

          i = 8 A

In conclusion using Ohm's law we can calculate the result for the value of the current when we change the resistance of the circuit is:

The current is: i = 8 A

               

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Planet RMM-1 has a mass of 28,500 kg and the star it revolves around has
a mass of 2.20 x 10^8 kg. If the star emits a gravitational force of 39 N how
far away are the two objects from each other?

Answers

Gravitational force = G · (mass₁) · (mass₂) / (distance)

(distance²) = G · (mass₁) · (mass₂) / (Gravitational force)

G = 6.67 x 10⁻¹¹ n-m² / kg²  (the "gravitational constant")

Distance²  = (6.67 x 10⁻¹¹ n-m² / kg²) (28,500 kg) (2.2 x 10⁸ kg) / (39 N)

Distance² = (6.67 · 28,500 · 2.2 x 10⁻³ N-m²) / (39N)

Distance²  =  (418.209 N-m²) / (39N)

Distance²  =  10.72 m²

Distance = 3.275 meters

An absurd scenario, but that's by golly what the math says with the numbers provided.  I guess it's a teeny tiny planet orbiting 3.275 meters outside a teeny tiny black hole.

A wave traveling at 5.00x10^4 meters per second has a wavelength of 2.50x10^1 meters what is the frequency of the wave

Answers

Answer:

Frequency of the wave = 2 x 10³ hz

Explanation:

Given:

Velocity of wave = 5 x 10⁴

Wavelength = 2.5 x 10¹

Find:

Frequency of the wave

Computation:

Frequency of the wave = Velocity of wave / Wavelength

Frequency of the wave = [5 x 10⁴] / [2.5 x 10¹]

Frequency of the wave = 2 x 10³ hz

The frequency of a wave traveling at 5.00 x 10⁴ meters per second and a wavelength of 2.50x10¹ meters is 2 × 10³ Hz

HOW TO CALCULATE FREQUENCY:

The frequency of wave can be calculated by dividing the speed of the wave by its wavelength.

λ = v/f

Where,

V= velocity of the wavef = frequencyλ = wavelength

According to this question, a wave is traveling at 5.00 x 10⁴ m/s and has a wavelength of 2.50 x 10¹ meters. The frequency can be calculated as follows:

f = v ÷ λ

f = 5 × 10⁴ ÷ 2.5 × 10¹

f = 2 × 10³Hz

Therefore, the frequency of a wave traveling at 5.00 x 10⁴ meters per second and a wavelength of 2.50x10¹ meters is 2 × 10³Hz.

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The water hyacinth was a major weed in Australian
and overseas' waterways until biological control
was used. Looking at the photo below, what
impact would this weed have on biodiversity in the
waterways it infests?

Whoever answers i will give branliest

Answers

Water hyacinth can fully cover lakes and wetlands, displacing native aquatic species, reducing fish oxygen levels, and providing optimal habitat for disease-carrying mosquitoes. Water hyacinth infestations can obstruct river transportation, fishing, damage bridges, and clog dams.

PLEASE HELP While the Earth is revolving around the sun, less direct sunlight is reaching the Northern Hemisphere than the Southern Hemisphere. What season is it in the Northern Hemisphere?(1 point)

winter

autumn

spring

summer

Answers

Answer:

Winter

Explanation:

Earth Rotates about an axis

These steps are followed when using the half-life of carbon-14 to determine the age of an object that contains carbon. what is the correct order of these steps

Answers

Answer:

the answer is b

Explanation:

a p e x

The correct order of these steps is according to option B i.e. C, A, B

What is half life?

Half life is the time taken by a radioactive material for the radioactivity of to reduce by half its original value.

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

These steps are followed when using the half-life of carbon-14 to determine the age of an object that contains carbon.

The correct steps are -

Measure the ratio of parent and daughter nucleiUse the half life of carbon-14 to determine the number of half lives that have passed.Use the number of half lives passed to determining the age of the object.

Thus, the correct option is B i.e. C, A, B

Learn more about half life.

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Three vectors A,B and C are such that A=B+C and their magnitudes are 5,4 and 3 respectively.find the angle between A and C​

Answers

Answer:

B = A - C

=> B² = A² + C² - 2AC.cos(A,C)

=>

[tex]cos(a.c) = \frac{a {}^{2} + c {}^{2} - b {}^{2} }{2ac} = \frac{5 {}^{2} +3 {}^{2} - 4 {}^{2} }{2.5.3} = \frac{3}{5} [/tex]

=> angle between A and C = 53.13⁰

A skydiver has jumped out of an aircraft but has not yet opened her
parachute.
Which of these statements best describes what is happening?

1. She is pushed towards the Earth by the force of gravity.

2.She is pulled towards the Earth by the force of gravity.

3.She is pulled towards the Earth by air resistance.

4. She is pushed towards the Earth by air resistance.​

Answers

Answer:

She is pulled towards the Earth by the force of gravity.

Explanation:

As a skydiver jumps, gravity pulls them towards the earth, accelerating their fall. At the same time, air resistance is pushing back on them and increases at higher speeds. ... At this point, they will have reached terminal velocity and will fall at a constant speed, no longer accelerating.

The statement (2) She is pulled towards the Earth by the force of gravity is correct.

What is gravitational force?

The gravitational force is a force that attracts all mass-bearing objects. The gravitational force is referred to as attractive because it always strives to pull masses together rather than pushing them apart.

A skydiver has jumped out of an aircraft but has not yet opened her parachute.

As we know, the gravitational force is given by:

[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]

Where, G is the gravitational constant.

m1 and m2 are masses.

r is the distance between the masses.

The statement (2) She is pulled towards the Earth by the force of gravity best describes what is happening.

Because the force of gravity pulled the skydiver.

Thus, the statement (2) She is pulled towards the Earth by the force of gravity is correct.

Learn more about the gravitational force here:

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