To understand the origin of the torque on a current loop due to the magnetic forces on the current-carrying wires.

This problem will show you how to calculate the torque on a magnetic dipole in a uniform magnetic field. We start with a rectangular current loop, the shape of which allows us to calculate the Lorentz forces explicitly. Then we generalize our result. Even if you already know the general formula to solve this problem, you might find it instructive to discover where it comes from.

a) Give a more general expression for the magnitude of the torque τ. Rewrite the answer found in Part A in terms of the magnitude of the magnetic dipole moment of the current loop m. Define the angle between the vector perpendicular to the plane of the coil and the magnetic field to be ϕ, noting that this angle is the complement of angle θ in Part A.

Give your answer in terms of the magnetic moment m, magnetic field B, and ϕ.

Answers

Answer 1

Answer:

The torque is  [tex]\tau = B * m sin(\phi )[/tex]

Explanation:

Generally when current flow through a rectangular loop the magnetic dipole generated we can denote this as  [tex]\vec m[/tex]

Here k is the length of the side of one side of the rectangular loop

Now when this loop is place in a magnetic field, the torque it experience is mathematically represented as

      [tex]\vec \tau = \vec B \ X \ \vec m[/tex]

Here  X stands for cross - product

From the question we are told that the angle between the vector ( [tex]\vec m[/tex])perpendicular to the plane of the coil and magnetic field(B) as [tex]\phi[/tex]

So

=>     [tex]\tau = B * m sin(\phi )[/tex]


Related Questions

PLSSS HELP ITS URGENT ILL RATE YOU BRAINLIEST:) A truck whose bed is 4 m long, 2.2 m wide, and 1.0 m high is delivering sand for a sand-sculpture competition. About how many trips must the truck make to deliver 23 m^3 of sand?

Answers

Answer:

one truck load is 2.5*1.5*1 = 3.75m^3

7/3.75 = 1.86 loads,

so 2 trips must be made.

Explanation:

If a rock falls for 5 seconds near the surface of the earth and with no air friction, it will reach a velocity of

Answers

Answer: -49m/s.

Explanation:

As the rock only falls, we will assume that the initial vertical velocity is zero.

We neglect the air friction, so the only force acting on the rock is the gravitational force, this means that the acceleration is -g = -9.8m/s^2.

Then we can write:

a(t) = -9.8m/s^2

To write the velocity of the rock, we must ingrate over time and get:

v(t) = (-9.8m/s^2)*t + v0

where v0 is the initial vertical velocity, and as we said above, v0 = 0m/s

Then the vertical velocity as a function of time is:

v(t) = (-9.8m/s^2)*t

Now, the question is:

"...If a rock falls for 5 seconds near the surface of the earth and with no air friction, it will reach a velocity of..."

Then we need to evaluate the velocity equation in t = 5 seconds.

v(5s) = (-9.8m/s^2)*5s = -49m/s.

ILL GIVE BRAINLY THING


Tom has been hired to deliver 11 m3 of sand. If the truck that Tom is driving has a truck bed that is 2.5 m X 1.6 m, X 0.75 m how many trips will Tom need to complete the order?


PLS GO TO MY PROFILE TO SEE THE OTHER QUESTIONS I POSTED I GIVE BRAINLY THING FOR THOSE AS WELL THANK YOU

Answers

Answer:

About 3 trips

Explanation: if we do 2.5m*1.6m*0.75 it equals to 11000 then we divide that to 11m3 and it gives you 3.6 so it will be about 3 times

Thx

why does nobody love me?

Answers

Answer: I’m sure theirs people out there that like you, and if there isn’t, you should just focus on yourself.

Explanation:

Answer:

Well, There are a couple reasons it could seem like nobody loves you...

Explanation:

One reason is that people really do love you, they just were never shown love and affection so they are unsure of how to show that to you. Another reason could be that it's god telling you that you are meant for much bigger and greater things. Maybe it's him reminding you that, yeah, people really suck, but that's life, and you're better than that. If you make the right decisions in life, you will be able to stand taller than they ever did. I hope this helps.. : )

What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?

5 kg • m/s
18 kg • m/s
45 kg • m/s
60 kg • m/s

Answers

Answer:

The answer is 45 kg • m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

mass = 15 kg

velocity = 3 m/s

We have

mass = 15 × 3

We have the final answer as

45 kg • m/s

Hope this helps you

Answer:

45 kg • m/s

Explanation:

Miguel added 150 grams of baking soda to a liter of water at 20 °C. No matter how long he keeps stirring the solution, he can’t get all of the baking soda to dissolve. Explain why.

Answers

Answer:

See the answer below

Explanation:

This is because, at 20 °C, the solution has become saturated with the baking soda.

The solubility of a substance is the maximum amount of that substance that will dissolve in a particular solvent at a given temperature. The solubility of a substance generally increases with an increase in temperature.

At 20 °C temperature, the maximum amount of baking soda that can dissolve in a liter of water has been exceeded by Miguel. Hence, no matter how hard he tries to stir the solution, the excess baking soda will not dissolve.

The reason he can’t get all of the baking soda to dissolve is; because at 20 °C, the solution has become saturated with the baking soda.

What is a saturated solution?

For us to say a substance is soluble, it means that the maximum amount of that substance will dissolve in a particular solvent at a given temperature. Thus, the solubility of a substance is said increase with a corresponding increase in temperature.

From the question, at 20 °C temperature, miguel has exceeded the maximum amount of baking soda that can dissolve in a liter of water. Therefore, no matter how hard he tries to stir the solution, it will not dissolve due to the excess soda.

Read more about saturated solution at; https://brainly.com/question/4529762

which force produces acceleration in falling bodies?​

Answers

Answer:

Gravity produces acceleration

Gravity is a force that pulls object down to the ground. When object fall to the ground, gravity causes them to accelerate.

Clouds in our atmosphere cause us to see the different phases of the moon.

True

False

Answers

Answer:

False

Explanation:

:)

Answer:

The answer is false

Explanation:

The clouds have nothing to do with the changes in the phases of the moon but, rather the postioning of the sun and the moon regarding revolution and the spinning of the earth on it axis.

I hope this helps you good luck and have a good day.

PLEASE HELP!! ILL MARK BRAINLYEST!!!

A chemical change occurs when a substance changes phase.


True
False

Answers

Answer:

False

Explanation:

plz answer this very soon

Answers

Answer:

Im gonna say it is answer A:) Hope this helps!

Explanation:


A container of rocks is brought back from the Moon's surface where the acceleration due to gravity is 162 meters per second if the total mass of the container of rocks is 650 kilograms, what is its weight on
Earth's surface

Answers

Answer:

6318 N

Explanation:

From the question given above, the following data were obtained:

Acceleration due to gravity of the moon (gₘ) = 1.62 m/s²

Mass (m) of container = 650 kg

Weight (W) of container on the earth =.?

Next, we shall determine the acceleration due to gravity of the earth. This can be obtained as follow:

Acceleration due to gravity of the moon (gₘ) = 1.62 m/s²

Acceleration due to gravity of the earth (gₑ) =.?

gₘ = 1/6 × gₑ

1.62 = 1/6 × gₑ

1.62 = gₑ /6

Cross multiply

gₑ = 1.62 × 6

gₑ = 9.72 m/s²

Finally, we shall determine the weight of the container on the earth as follow:

Mass (m) of container = 650 kg

Acceleration due to gravity of the earth (gₑ) = 9.72 m/s²

Weight (W) of container on the earth =.?

W = m × gₑ

W = 650 × 9.72

W = 6318 N

Therefore, the weight of the container on earth is 6318 N

The temperature of a 5.0 kg block increases by 3 degrees C when 2,000 J of thermal energy are added to the block. What is the specific heat of the block? _____________

Answers

Sorry bro I just need points for my calculus exam

Mamie Clark was a psychologist who is known for her research on __________. A. intellectual and developmental disabilities and gifted children B. racism and its adverse effects on child development C. identity development among Asians living in the US D. academic development of children in desegregated schools

Answers

Answer:

B. racism and its adverse effects on child development

Explanation:

Dr. Mamie Clark studied the effects of segregation and racism on the self-esteem of black children.

According to Clark in O'Connell & Russo, 2001, p. 271; "To separate them from others of similar age and qualifications solely because of their race generates a feeling of inferiority as to their status in the community that may affect their hearts and minds in a way unlikely ever to be undone...."

One of her works titled "The Development of Consciousness of Self and the Emergence of Racial Identification in Negro Preschool Children" investigated the early level of conscious racial identity in black preschool children.

Answer:

B

Explanation:

cuz its B

Use the principle of superposition (Equation 1.3) to predict the electric field at the point 0.5 meters to the right and 1.5 meters above the 5 nC charge. Express your result both in terms of x and y components, and then in terms of total magnitude and direction.

Answers

Answer:

Explanation:

The x component of electric field Ex = k Q / R²

= 9 x 10⁹ x 5 x 10⁻⁹ / .5²

= 180 N .

The y component of electric field Ey = k Q / R²

The y component of electric field Ey

= 9 x 10⁹ x 5 x 10⁻⁹ / 1.5²

= 20 N

Total field = [tex]\sqrt{180^2+20^2}[/tex]

= 181.1 N .

Angle with x axis = Tanθ = Ey / Ex = 20 / 180 = .111

= 6.33⁰

what is torricellian vaccum

Answers

Answer:

a vacuum formed above the column of mercury in a mercury barometer.

Answer:

An air-free space above the free surface of a liquid in a vessel that is closed above the liquid

A car on flat ground accelerates at 0.785 m/s2 when a net force of 1050 N acts on it. How much normal force acts on it?

Answers

Answer:

13108.3N

Explanation:

Given parameters:

Acceleration = 0.785m/s²

Net force  = 1050N

Unknown:

Normal force acting on car  = ?

Solution:

The normal force on this car is the weight of the car;

   Normal force  = mg

where m is the mass of the car

           g is the acceleration due to gravity = 9.8m/s²

Now solve for the mass;

             Net force  = mass x acceleration

                1050  = mass x 0.785

                 mass  = [tex]\frac{1050}{0.785}[/tex]   = 1337.6kg

So,

     Normal force  = 1337.6kg x 9.8m/s² = 13108.3N

13108 works as well for acellus

PLEASE HELP!!
A player punts a football at an angle of 30 degrees. The football has an initial
velocity of 20.0 m/s. Find the y-component of the ball's velocity.
17.3 m/s
O 10.0 m/s
O 30.0 m/s
0 25.1 m/s

Answers

Answer:

The y-component of the ball's velocity is 10 m/s

The second choice 10.0 m/s is correct

Explanation:

Projectile Motion

It's the type of motion that experiences an object that is projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.

Being vo the magnitude of the initial velocity and θ the angle it makes with the horizontal, the components of the initial velocity are calculated as follows:

[tex]v_{ox}=v_o.\cos\theta[/tex]

[tex]v_{oy}=v_o.\sin\theta[/tex]

Since the football is kicked at vo=20 m/s and an angle of θ=30°:

[tex]v_{oy}=20.\sin 30^\circ[/tex]

[tex]v_{oy}=20*0.5=10[/tex]

The y-component of the ball's velocity is 10 m/s

The second choice 10.0 m/s is correct

PLEASE HELP ME FAST!
Which of these sentences best illustrates visualization using a sequence of events? A. The earthquake sent out a shock waves in all directions. The sea surface is disturbed also. Big waves are formed. These waves travel fast across the sea. They are dangerous and can kill. B. Then, all of a sudden, a strong earthquake strikes off the coast of Alaska, deep down on the seafloor. After this, the seafloor moves up and down. Next the walls and floors of the house is suddenly start to shake. C. Both A and B. D. Neither A or B.

Answers

Answer:

Explanation:

C. Both A and B I guess

Answer:

its b

Then, all of a sudden, a strong earthquake strikes off the coast of Alaska, deep down on the sea floor.  After this, the sea floor moves up and down.  Next, walls and floors of the houses suddenly start to shake.

Explanation:

mark me brainleist please!

also i really hope this helps and have a really good day

-TA

Digging downward through a soil profile, how deep would you have to go before you found recognizable fragments of the parent rock for the soil?

Answers

You Willis have to go about 6 -7 ft down

Kinetic and potential energy are forms of what kind of energy?

gravitational

chemical

electrical

mechanical

Answers

Answer:

mechanical energy

Explanation:

The key difference that exists between kinetic energy and potential energy lies in the fact that, potential energy is that form of mechanical energy which is stored within an object, ready to be released as and when needed to do some work, while, kinetic energy is that form of mechanical energy that has been released and is associated with the body in motion.

3 The diagram shows a model of an atom. The model has four different symbols on it. Each
symbol represents a different role for one of the particles within the atom.
Model Atom
(W
Particle
w
Charge
Negative
Positive
х
Y
Neutra!
Negative
z
w
In this model, which particle determines the identity of this atom?
A Particle w
C Particle Y
B Particle X
D Particle z

Answers

The Answer is particle Z

Answer:

answer is D

Explanation:

!!! I NEED URGENT HELP !!!

Answers

Answer:

P = W / t       where P is power and W the work done

P = F x / t = F v

Then v = P / F = 450 J/s / 350 N = 1.29 m/s

T = 46.6 m / 1.29 m/s = 36.1 sec      where T is the required time

a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take

Answers

Answer:3982/27.6=144.275

Explanation:The trip took 144 hours as 3982/27.6 is about 144.

Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
Gravity is a constant force
The bowling ball wil adapt to the changes in gravity
Matter is resistant to acceleration and changes in gravity
The amount of matter in the bowling all remains the same

Answers

Answer:

D hope this helps

Explanation:

Answer:

D

Explanation:

The amount of matter in the bowling ball remains the same.

F all of the energy in a falling object's gravitational potential energy store is transferred to its kinetic energy store by the time it lands, then the relationship shown below can be used. Which of the four options below it correctly shows how this relationship can be expressed in terms of height, h?

Answers

Answer:

The options are not shown, so let's derive the relationship.

For an object that is at a height H above the ground, and is not moving, the potential energy will be:

U = m*g*H

where m is the mass of the object, and g is the gravitational acceleration.

Now, the kinetic energy of an object can be written as:

K = (1/2)*m*v^2

where v is the velocity.

Now, when we drop the object, the potential energy begins to transform into kinetic energy, and by the conservation of the energy, by the moment that H is equal to zero (So the potential energy is zero) all the initial potential energy must now be converted into kinetic energy.

Uinitial = Kfinal.

m*g*H = (1/2)*m*v^2

v^2 = 2*g*H

v = √(2*g*H)

So we expressed the final velocity (the velocity at which the object impacts the ground) in terms of the height, H.

Answer the following:
You are going to race your friend to a tree near the back of the playground. The tree is 24 meters away from where you stand. It will take you 4 seconds to reach the tree. What will your average speed be?

Answers

Answer:

1. 6 m/s.

2. 320 miles.

Explanation:

1. Determination of the average speed.

Total distance travelled (D) = 24 m

Total time (t) = 4 s

Average speed =.?

Average speed is simply defined:

Average speed = Total distance /total time

Average speed = 24/4

Average speed = 6 m/s

2. Determination of the distance travelled by the train.

Speed = 40 mph

Time = 8 h

Distance =?

Speed is simply defined as:

Speed = Distance /time

40 = Distance / 8

Cross multiply

Distance = 40 × 8

Distance = 320 miles

Therefore, the train travels a distance of 320 miles.

can the answer to density be simplified​

Answers

Answer: yes because all densities can be simplifed it just depends on the number.

PLEASE HELP!!!! ILL MARK BRAINLYEST!!

A change in the size or shape of a substance is a _________ change

A. chemical
B. physical
C. material
D. nuclear

Answers

The answer will be B

A dictator junk gang has all the gas left in the region. They are requiring 2 kg of scrap
metal in exchange for gasoline which they are selling by the liter. Your water rig is
American made with a gallon gas tank and it can drive 30 miles per gallon. How many
liters of gasoline do you need from the junk gang in order to successfully make it the
new destination?

Answers

Explanation:

here u go..................................

The volume of the gasoline needed for the gang to successfully make it to the new destination is 340.02 liters.

"Your question is not complete, it seems to be missing to following information";

the new destination of the gang is 2695 miles

The given parameters;

the rate of gasoline consumption, v = 30 miles per gallonthe new destination of the gang = 2695 miles

1 gallon = 3.785 liters

The rate of gasoline consumption in miles per liter is calculated as;

[tex]v = \frac{30 \ miles}{gallon } \times \frac{1 \ gallon}{3.785 \ liters} = 7.926 \ miles/liter[/tex]

The volume of the gasoline needed for the gang to successfully make it to the new destination is calculated as;

[tex]volume \ of \ gasoline = \frac{2695 \ miles}{7.926 \ miles/liter} = 340.02 \ liters[/tex]

Thus, the volume of the gasoline needed for the gang to successfully make it to the new destination is 340.02 liters.

Learn more here: https://brainly.com/question/14554216

A ball is thrown vertically upward with an initial velocity of 29.4 m/s². What is the maximum height reached by the ball? How long is the ball in the air? What is the final velocity of the ball before it goes back to its original position?​

Answers

Answer:

Most likely it will reach 29.4 up in the air before coming back down.

Explanation:

The force of the ball will be the same on how high it will go.

Other Questions
Growth Mindset Math by Jo BoalerVideo 1: Jo Boaler discusses the brain and its ability to learn new information and how mistakes are ahuge part of that process. Her claim, through scientific research and data, is that the brain's synapsesgrow when mistakes are made as opposed to the lack of growth that is made when a correct answer isgiven. Based on this information, does this change the way that you might approach new tasks includingschool? Explain your reasoning in a few sentences. Please help me answer this question! Why are Thomas Jefferson and Samuel Adams significant in American history? Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. PLZZ HELP ME ONLY GIVE ME THE CORRECT ANSWER PLZZZ this due today !!!!HELPP DUE IN 15 MINravis received a letter from his bank saying that his checking account balance fell below zero. His account transaction log is shown below.A. On which line did Travis make a mathematical error? Explain Traviss mistake.Show all your work and explanation in order to receive full points.B. The bank charged Travis a $20 fee because his balance dropped below $0. He knows that he currently has an outstanding charge for $7.85 that he has not recorded yet. How much money will Travis have to deposit into his account so that the outstanding charge does not create another bank fee? Explain.Show all your work and explanation in order to receive full points. The lateral surface area of a cube is 400cm. Its total surface area is_______a)600cm b) 2400cm c) 500cm d) 650cm Urgent If a coworker consistently questions Darias ability to do her job he is: -threatening her competence face -threatening her autonomy face -threatening her fellowship face -None of the above Joe bought a roll of gray duct tape containing 5400 inches. If there are 5280 feet in a mile, howmany miles long is Joe's roll of duct tape? Write a paragraph that will persuade the teacher to give Samantha extra credit. 29. First person point of view or P.O.V. means...A. the story happened to someone, but someone else is telling the story; does not use words like "I" or "we".B. that it's written like a set of directions, like how to bake a cake.C.the person telling the story is the person who experience what happened; uses words like "T" or "we". You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same? The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d. Which religion was the basis for Philadelphia Property can be transferred within the family group by gift or at death. One motivation for preferring the gift approach is: a. To take advantage of the per donee annual exclusion. b. To shift income to higher bracket donees. c. To take advantage of the higher unified transfer tax credit available under the gift tax. d. To avoid a future decline in value of the property transferred. What persuasive technique is being used when a writer uses facts,Numbers,information and logic when persuading How long would it take a bus traveling 52 km/h to travel 130 km Edpuzzle pls helppp please answer fastttt A 2-column table with 6 rows. The first column is labeled t with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 12, m, 4, 0, negative 4, negative 2. If the table of the function contains exactly two potential turning points, one with an input value of 1, which statement best describes all possible values of m? m 12 12 < m < 4 m 4 m 4 or m 12 PLSSS HELP The men of Jamestown elected representatives called_____to enact local laws???? What is a character trait that Anne and her mother have in common