A solenoid is 2.50 cm in diameter and 30.0 cm long. It has 300 turns and carries 12 A. (a) Calculate the magnetic field inside the solenoid. (b) Calculate the magnetic flux through the surface of a circle of radius 1.00 cm, which is positioned perpendicular to and centered on the axis of the solenoid. (c) The perimeter of this circle is made of conducting material. The current in the solenoid uniformly goes from 12 A to 10 A in 0.001 seconds. What e.M.F. Is generated in the conducting material? (d) Now, inside the solenoid we put a bar of steel, a ferromagnetic material. Steel has got a magnetic permeability μm = 4000μ0 . If the current in the solenoid is 12 A, what's the total magnetic field in the steel bar?

Answers

Answer 1

Answer:

a) B = 0.0151 T

b) [tex] \theta = 4.737 * 10^-^6 Tm^2 [/tex]

c) [tex] E = 7.896*10^-^4 [/tex]

d) [tex] = 60.4 T [/tex]

Explanation:

Given:

Diameter, d = 2.5 cm convert to meters = 0.025 m

Length, L = 30.0 cm convert to meters = 0.3 m

Number of turns, N = 300

Current, I = 12 A

a) Let's use the formula below to find the magnetic field.

[tex] B = \frac{u_0 N I}{L} [/tex]

[tex] B = \frac{4\pi * 10^-^7 * 300 * 12}{0.3} [/tex]

[tex] B = \frac{0.004524}{0.3} [/tex]

B = 0.0151 T

b) Given a radius, r = 1.00 cm, let's convert it to meters = 0.01 m

Let's use the formula below to find magnetic flux.

[tex] \theta = BA [/tex]

where [tex] A = \pi r^2 [/tex]

Therefore,

[tex] \theta = B \pi r^2 [/tex]

[tex] = 0.0151 \pi * (0.01)^2 [/tex]

[tex] \theta = 4.737 * 10^-^6 Tm^2 [/tex]

c) Given that the current in the solenoid uniformly goes from 12 A to 10 A in 0.001 seconds, the EMF generated will be:

[tex]E = \frac{- change in \theta}{change in t} = \frac{-u_0 N}{L} * \pi r^2 * \frac{change in I}{change in t}[/tex]

[tex] E = \frac{-4\pi * 10^-^7 * 300}{0.3} * \pi *(0.01)^2 * \frac{10 - 12}{0.001} [/tex]

[tex] -0.00125663 * \pi *(0.01)^2 * -2000[/tex]

[tex] E = 7.896*10^-^4 [/tex]

d) Let's use the formula:

[tex] \frac{u_m N I}{L} = 4000 \frac{u_0 NI}{L} [/tex]

[tex] 4000 * 0.0151 [/tex]

[tex] = 60.4 T [/tex]


Related Questions

explain how conduction, convention and radiation all transfer heat when cooking in a pan of water.​

Answers

Answer:

hope this helps love! There are three methods of heat transfer: conduction, convection, and radiation. Cooking of food usually uses a combination of these methods. Conduction transfers the heat using direct contact; food is heated directly in a metal pan, in a liquid, or surrounded by air. ... The heat from the water is transferred to the egg.

Explanation:

When the water is heated, thermal expansion happens so the particles move farther apart and then the hot water moves up because it is less dense then the colder water. ... Convection is happening because when air is heated by the fire, the air becomes less dense and moves up because denser things sink.


Which are referred to as greenhouse gases?

nitrogen and oxygen

oxygen and carbon dioxide

water vapor and oxygen

water vapor and carbon dioxide

(Plz help)

Answers

water vapor and carbon dioxide !

Matt plays badminton. He serves the birdie with a velocity of 4.25 m/s [right] covering a displacement of 5.2 m [forward]. How much time does this birdie’s trip take? show your work below

Answers

Answer:

Time taken by birdie’s trip = 1.2235 s (Approx)

Explanation:

Given:

Velocity = 4.25 m/s

Displacement = 5.2 m

Find:

Time taken by birdie’s trip = ?

Computation:

⇒ Time taken = Displacement / Velocity

Time taken by birdie’s trip = Displacement / Velocity

Time taken by birdie’s trip = 5.2 m / 4.25 m/s

⇒ Time taken by birdie’s trip = 1.2235 s (Approx)

The speed of sound is greater through a solid than through a gas because the molecules in a solid are

Answers

Answer

medium are much closer together

Explanation:

Sound travels fastest through solids. This is because molecules in a solid medium are much closer together than those in a liquid or gas, allowing sound waves to travel more quickly through it. In fact, sound waves travel over 17 times faster through steel than through air.

A woman stands in a boat at rest on a calm lake. She throws a 10 kg anchor off the front of the boat, which has a mass of 1,000 kg
What is the initial momentum of the anchor-boat system?

A)1,000 kg m/s

B)zero because both objects are at rest.

C)1,010 kg m/s

D)10,000 kg m/s

PLEASE HELP!! I don’t understand

Answers

Answer: B) zero because both objects are at rest

Explanation:

Given the following :

Mass of anchor = 10kg

Mass of boat = 1000kg

Note : both boay and anchor are at rest, this gives a Velocity of zero

The momentum of a body is given as the product of Mass and velocity, that is,

Momentum = mass × velocity

Initial Momentum of anchor-boat system =

(mass of boat× initial velocity of boat) + (mass of anchor × initial velocity of anchor)

Initial Velocities of boat and anchor = 0

Therefore,

Initial momentum = (1000 × 0) + (10 × 0)

Initial momentum = (0 + 0) = 0

This is ecause both objects are at rest.

A car of mass 750 kg has an initial speed of 75 mph. Traveling in a straight line, its speed is increased uniformly to 120 mph in 2.0 miles. What is the net force that was exerted?

Answers

Explanation:

ESTE PROBLEMA ES MEJOR HACERLO EN SI. PRIMERO CONVIERTES

LA VELOCIDAD INICIAL Y LA VELOCIDAD FINAL A m/s

[tex]v_{0}[/tex] = 33.52 m/s      v = 53.67 m/s      x = 3220 m

PRIMERO ENCUENTRAS LA ACELERACIÓN DEL COCHE CON LA ECUACIÓN

DE GALILEO GALILEI

a = [tex](53.67 m/s)^{2} - (33.52 m/s)^{2}/3220 m[/tex] = [tex]0.5453 m/s^{2}[/tex]

AHORA CON LA ACELERACIÓN USMOS LA SEGUNDA LEY DE NEWTON

F = 75 kg([tex]0.5453 m/s^{2}[/tex]) = 40.9 N

the force exerted by the mass is 204 N.

The given parameters;

mass of the car, m 750 kg

initial speed of the car, u = 75 mph  

final speed of the car, v = 120 mph  

distance traveled by the car, s = 2 miles

The acceleration of the car is calculated as;

[tex]v^2 = u^2 + 2as\\\\2as = v^2 - u^2\\\\a = \frac{v^2 - u^2}{2s} \\\\a = \frac{120^2 - 75^2}{2\times 2} \\\\a = 2193.75 \ mi/hr^2\\\\a = 2193.75 \frac{mi}{hr^2} \times \frac{1609.3 \ m}{1 \ mile} \times \frac{1hr^2}{(3600 \ s)^2} \\\\a = 0.272 \ m/s^2[/tex]

The force exerted by the mass is calculated as follows;

F = ma

F = 750 x 0.272

F = 204 N

Thus, the force exerted by the mass is 204 N.

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An object, with a final position of x = 100.1 meters, initially started at x = -12.13 meters. What was its displacement? (Unit = m)

Answers

Answer:

112.23 m

Explanation:

Displacement is the final position minus the initial position.

Δx = x − x₀

Δx = 100.1 m − (-12.13 m)

Δx = 112.23 m

A spring extends by .16 meters when pulled with 20 N of Force. What is the Potential Energy in the spring at this extension?

What is the work done to extend the spring. 16 meters?

Answers

Answer:

Potential energy = 1.6 J

Work done = -1.6 J

Explanation:

Potential Energy in the spring at this extension?

The potential energy U in the spring is U = 1/2kx² where k = spring constant = F/x where F = force = 20 N and x = extension = 0.16 m. So k = 20 N/0.16 m = 125 N/m

U = 1/2kx²

= 1/2 × 125 N/m × (0.16 m)²

= 1.6 J

What is the work done to extend the spring. 16 meters

Work done W = U₁ - U₂ where U₁ = initial potential energy = 0 and U₂ = final potential energy = 1.6 J

W = 0 - 1.6 J

   = -1.6 J

If the mass of the tritium nucleus is 3.02 universal mass units and the mass of the helium nucleus is 4.00 universal mass units, how much energy (in Megaelectronvolts) is absorbed as the tritium decays into helium?

Answers

Answer: the answer is a

Explanation just did the test

A force of 20N acts on a 3.5kg mass for 10s. What is the change in the speed of the object? *Hint find the impulse first*
2 points

Answers

Answer:

I don't know sorry bro .. .... please make me braniest

What is the force of gravity on a 24.0 kg table sitting on the earth

Answers

Answer:

24×9.8

Explanation:

The law of conservation of energy states...

Answers

Can neither be created or destroyed.
The law of conservation of energy states that energy can not be created nor destroyed.

ANSWER=
If a group of workers can apply a force of 1,000 Newtons to move a crate
20 meters, what amount of work will they have accomplished?​

Answers

Answer:

W= 20000j

Explanation:

W= fd = 1000N(20m) = 20000j

a runner with a mass of 62 kg running at speed of 0.8m/s ​

Answers

The Kinetic energy will be "20 Nm".

According to the question,

Mass, m = 62 kgSpeed, v = 0.8 m/s

The Kinetic Energy will be:

= [tex]\frac{1}{2}mv^2[/tex]

By putting the values,

= [tex]\frac{1}{2}\times 62\times (0.8)^2[/tex]

= [tex]31\times 0.64[/tex]

= [tex]20 \ Nm[/tex]

Thus the above answer is right.

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Please help do not guess
50 points

What is the range of time of the Devonian time period?



What is the name of the EON we are in now?





During what period saw the earliest amphibians?



From what time period is the cooksonia fossil from?


How many million years ago saw the extinction of dinosaurs?



What range of time did trilobites exist on earth?



During what time period saw the last advance and retreat of continental ice sheets?



Looking at the inferred position of the continents, what direction did North America move in the last 232 million years>



Judging by your answer to question 9, what has happened to the climate of North America during the last 232 million years? Explain your answer.

Answers

Answer:

358.9 (+/- 0.4) million years ago

Holocene Epoch, of the Quaternary Period

Devonian period

66 million years ago (prox)

521 million years ago

110,000 years ago

NW

North america became more cold when it moved NW

Explanation:

A large container of water is sitting on a balance. The weight of the container plus the water is 10 newtons. An object the weight of 7 newtons hanging from a forcemeter is lowered towards the surface of the water . what reading on the force meter would you expect?

Answers

Answer:

3N

Explanation:

Note that when an object is immersed in water it weighs less.

This means the weight seen is the apparent weight.

Now in water there is upthrust and is a counter force acting on the object and this force is opposite to the weight of the fluid alongside the container 10N

The apparent weight is the real weight - the upthrust

7N-10 = -3N

The essence of the negative sign is to show that this force is acting in opposite direction to the weight.

Note: the upthrust is 10N and it's opposite to the weight of the fluid and the tube on which the object on the force meter is subjected to.

Esimate and add to the nearest thousand
6,521+1,063+901

Answers

i think its 8485 ? not sure

Answer: I think it's 8,900

Explanation:because since you need to estimate it to the nearest thousand so 6,521 would be 7,000 and then 1,063 would be 1,000 and then 901would turn into 900 so then you add them all up and ur answer will be 8,900.

But I'm sorry if this was not the answer u were looking for

describe how electromagnetic radiation can ionise an atom. 2 marks

Answers

Answer:

Ionizing radiation is radiation with enough energy so that during an interaction with an atom, it can remove tightly bound electrons from the orbit of an atom, causing the atom to become charged or ionized. ... Forms of electromagnetic radiation.

(from google)

thank you :)

Ionizing radiation is radiation with enough energy that to remove tightly bound electrons from the orbit of an atom, causing that atom to become charged or ionized.

What is ionizing radiation?

The process in which an electron is given enough energy to break away from an atom is called ionization.

This process results in the formation of two charged particles or ions:

The molecule with a net positive chargeThe free electron with a negative charge.

Each ionization releases energy that is absorbed by material surrounding the ionized atom.

Ionizing radiation deposits a large amount of energy into a small area. In fact, the energy from one ionization is more than enough energy to disrupt the chemical bond between two carbon atoms.

There are three main kinds of ionizing radiation:

alpha particles, which include two protons and two neutrons

beta particles, which are essentially electrons

Therefore,

According to the definition of ionizing radiation,

Ionizing radiation can remove electrons from the atoms, i.e. It can ionize atoms.

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A women walks 550m North,then 350 m west,then 250 m south ,then 450m east, and finally 150 m south.The whole journey took 1 hour 45 minutes.

a)construct a scale diagram to illustrate the path of the women.Scale:1cm=100

Answers

Answer:

The scale diagram is in the image attached

Explanation:

The scale diagram is in the image attached.

The North direction is upwards in the diagram, the West is to the left, the East is to the right and the South is downwards.

First movement: 550m north -> 5.5 cm upwards

Second movement: 350m west -> 3.5 cm to the left

Third movement: 250m south -> 2.5 cm downwards

Fourth movement: 450m east -> 4.5 cm to the right

Fifth movement: 150m south -> 1.5 cm downwards

Hope it helps!

Por una espira de 0.5 m2 de área circula una corriente de 5 A. Calcula la densi- dad de flujo magnético B considerando que la espira considera la permeabilidad del medio es la del aire

Answers

Answer:

[tex]\beta=B=8.05\mu T[/tex]

Explanation:

The density of the magnetic flux is given by the following formula:

[tex]\beta=\frac{\Phi_B}{A}=\frac{ABcos\theta}{A}=Bcos\theta[/tex]

The normal vector A and the vector of the magnitude of the magnetic field are perpendicular, then, the angle is zero:

The magnitude of the magnetic field is calculated by using the formula for B at a distance of x to a point in the plane of the loop:

[tex]B=\frac{\mu_oIR^2}{2(x^2+R^2)^{3/2}}[/tex]

For x = 0 you have:

[tex]B=\frac{\mu_oIR^2}{2R^3}=\frac{\mu_oI}{2R}[/tex]

R is the radius of the circular loop and its values is:

[tex]R=\sqrt{\frac{A}{\pi}}=\sqrt{\frac{0.5m^2}{\pi}}=0.39m[/tex]

Then, you replace in the equation for B with mu_o = 4\pi*10^-7 T/A:

[tex]B=\frac{(4\pi*10^{-7}T/A)(5A)}{2(0.39m)}=8.05*10^{-6}T=8.05\mu T[/tex]

and the density of the magnetic flux is

[tex]\beta=B=8.05\mu T[/tex]

1. A drop of oil of volume 10-10 m spreads out on water to
make a circular film of radius 10 m. what is the thickness
of the film?​

Answers

Answer:

318.3 nm

Explanation:

We approximate the circular film as a cylinder of height h and radius, r. Its volume V = πr²h. Since this volume equals the volume of the oil drop, the height of the circular film is thus h = V/πr²

V = 10⁻¹⁰ m³ and r = 10 m

Substituting into h, we have

h = 10⁻¹⁰ m³/π(10)²

= 0.3183 × 10⁻¹² m

= 3183 × 10⁻⁹ m

= 318.3 nm

What does a simple pulley do?
A. It makes you have to pull harder on the rope.
B. It increases the force.
O O O O
C. It redirects the force.
D. It makes the load heavier.

Answers

Answer:

C. It redirects the force

how can the nail be demagnetised​

Answers

Explanation:

How do you demagnetize a nail?

To unscrew the magnetized nail or to demagnetize a nail magnetized by prolonged contact or rub, banging the nail on a hard surface or dropping it to the ground shaking up the aligned atoms with a sharp effect. For the electric magnet, simply separating one end of the copper wire from the terminal kills the magnetic field

Hope this can help you. Good Luck!

i’m not sure about this sorry

circular motion is 2d or 3d? Reason.

Answers

Answer:

circular motion is 2D

Explanation:

The circle is a two-dimensional (2D) shape. It only has two measurements, such as length and height, and is usually called a 'flat' shape. The ball, however, is a three-dimensional (3D) shape because it has three measurements (length, height, and width) and is sometimes called a 'solid' shape.

hope this helped

A car travels 20 km South, then turns and travels 30 km East? What is the total displacement?

Answers

Answer:

Explanation:36.05 km

Given

First car travels [tex]r_1=20\ km[/tex] South

then turns and travels [tex]r_2=30\ km[/tex] east

Suppose south as negative y axis and east as positive x axis

So, [tex]r_1=-20\hat{j}[/tex]

[tex]r_2=30\hat{i}[/tex]

Displacement is the shortest between initial and final point

Dispalcement[tex]=r=r_1+r_2[/tex]

Displacement[tex]=-20\hat{j}+30\hat{i}[/tex]

Displacement[tex]=30\hat{i}-20\hat{j}[/tex]

Magnitude [tex]=\sqrt{30^2+(-20)^2}[/tex]

Magnitude[tex]=36.05\ km[/tex]

A complete electric circuit includes a voltage source, current, wires, and something to _________ the flow of current.

Answers

Answer:

If you ground the flow of current like the last part of your question states you will not have a complete circuit as the circuit will open on a short circuit. To make a complete circuit operate you need a power source, an overload device to protect the conductors of the circuit, conductors to carry the current and a load across the power source which causes the current to flow in the circuit.

Explanation:

Leave any one of these things out and you will not have a complete circuit.

A complete electric circuit includes a voltage source, current, wires, and load to flow the current.

What is load in an electric circuit?

An electrical load can be described as an electrical component of a circuit that consumes electrical power such as electrical appliances, bulbs, and lights. The electrical load may also refer to the power consumed by a circuit. An electrical load is opposed to a power source, such as a battery, which produces power.

If an electric circuit contains an output port, a pair of terminals that generates an electrical signal, the circuit connected to this terminal is the load. Load influences the performance of circuits according to the output voltages or currents, such as voltage sources, and amplifiers.

Mains power outlets supply power at constant voltage, with electrical appliances connected to the power circuit making up the load. When a high-power device switches on, it drastically reduces the load impedance.

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You are sitting on a merry-go-round at a distance of 2m from its center. It spins 15 times in 3 min. What distance do you move as you make one revolution? What is your angular speed in RPM? What is your linear speed in meters per SECOND?

Answers

Answer:

A) 12.57 m

B) 5 RPM

C) 3.142 m/s

Explanation:

A) Distance covered in 1 Revolution:

The formula that gives the relationship between the arc length or distance covered during circular motion to the angle subtended or the revolutions, is given as follows:

s = rθ

where,

s = distance covered = ?

r = radius of circle = 2 m

θ = Angle = 2π radians  (For 1 complete Revolution)

Therefore,

s = (2 m)(2π radians)

s = 12.57 m

B) Angular Speed:

The formula for angular speed is given as:

ω = θ/t

where,

ω = angular speed = ?

θ = angular distance covered = 15 revolutions

t = time taken = 3 min

Therefore,

ω = 15 rev/3 min

ω = 5 RPM

C) Linear Speed:

The formula that gives the the linear speed of an object moving in a circular path is given as:

v = rω

where,

v = linear speed = ?

r = radius = 2 m

ω = Angular Speed in rad/s = (15 rev/min)(2π rad/1 rev)(1 min/60 s) = 1.571 rad/s

Therefore,

v = (2 m)(1.571 rad/s)

v = 3.142 m/s

Collision 1: Blue Cart Initially at Rest Set the initial blue cart velocity to 0 m/s. Set the mass values to different values. Run the simulation and record the mass and velocity values. Before Collision After Collision mRed = _________ kg mBlue = _________ kg Use mass and velocity values to complete the following momentum table. Before Collision After Collision ∆Momentum Red Cart ________kg x _______m/s = ____________kg•m/s ________kg x _______m/s = ____________kg•m/s Blue Cart ________kg x _______m/s = ____________kg•m/s ________kg x _______m/s = ____________kg•m/s

Answers

Answer:

it is very hard but i am trying to help you.

Explanation:

You are pushing this M = 115-kg box with Fa = 424 Newtons. (Fa = "Your applied force") But it's futile. The box isn't going anywhere. Calculate the frictional force of the floor on the box against you.

Answers

Explanation:

We have,

Mass of a box is 115 kg

Applied force is 424 N

It is required to find the frictional force of the floor on the box against you. Frictional force is an opposing force. It opposes the motion of an object. Here the applied force is 424 N. So, the frictional force has a magnitude of 424 N but it acts in opposite direction.

Pls help I'm desperate

If you place a hot piece of metal in a container of water, thermal energy flows from the metal to the water. What happens after the metal and the water reach the same temperature?

The flow of thermal energy stops, and the temperature remains constant.

The flow of thermal energy continues and causes both substances to become warmer.

The flow of thermal energy reverses and causes both substances to become warmer.

The flow of thermal energy reverses, and the water becomes colder.​

Answers

Answer:

I think your answer would be D

Explanation:

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