A long, hollow wire has inner radius R1 and outer radius R2. The wire carries current I uniformly distributed across the area of the wire.a) Use Ampere's law to find an expression for the magnetic field strength in the region 0

Answers

Answer 1

The magnetic field strength B in the region 0 < r < R1 is B = (μ₀I * r) / (2π * (R2² - R1²)), and in the region R1 < r < R2 is B = (μ₀I * (R2² - r²)) / (2π * r * (R2² - R1²)).

To find the magnetic field strength, we can use Ampere's law, which states that the line integral of the magnetic field B around a closed loop equals μ₀ times the current enclosed by the loop.

For the region 0 < r < R1, consider a circular Amperian loop of radius r inside the wire.

Applying Ampere's law and solving for B, we obtain B = (μ₀I * r) / (2π * (R2² - R1²)).

For the region R1 < r < R2, consider a circular Amperian loop of radius r that encloses the entire inner radius.

Applying Ampere's law and solving for B in this case, we obtain B = (μ₀I * (R2² - r²)) / (2π * r * (R2² - R1²)).

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Related Questions

An 80 kg skier stands at the top of a 40-meter slope. She then skis down the slope. What is her approximate speed at the bottom of the slope if friction is negligible and her kinetic energy is 31360 J?

Answers

Thank you for that information.  If we know her mass and kinetic energy, then we don't need any of that other business about the height of the slope, her skiing ability, the friction of the snow, what she uses to wax her skis, the color of her parka, or what she had for lunch at the chalet.  The mass and kinetic energy are enough to answer the question.

Kinetic Energy = (1/2) · (mass) · (speed)²

31,360 J = (1/2) · (80 kg) · (speed)²

speed² = (31,360 J) / (40 kg)

speed² = 784 m²/s²

speed = 28 m/s

Write a 5-8 sentence summary on Earthquakes.

Answers

Answer:

An earthquake is a sudden shaking movement of the surface of the earth. It is known as a quake, tremblor or tremor. Earthquakes can range in size from those that are so weak that they cannot be felt to those violent enough to toss people around and destroy whole cities. ... An earthquake is measured on Richter's scale.

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What was an ill effect of the industrial revolution?
A)air pollution
B)crowded and unhealthy conduction in cities
C)child labor
D)all of the above

Answers

Answer:

answer is option (c) child labour

why is sun called a source of light??​

Answers

Answer:

because he give heat and energy

An atom of a certain element has 36 protons, 36 electrons, and a mass number of 84. At room temperature, this element is a very stable gas. How many neutrons are in this atom?

Answers

Answer:

12 neutrons

Explanation:

The number of protons also shows the atomic number. Therefore the element in question is Krypton (Kr), which also is a noble gas.

Neutrons = Mass number - protons - electrons

Here neutrons = 84 - 36 - 36 = 12

what is the answer , please.​

Answers

Answer:

39.2m/s

Explanation:

V = 0

V = u - gt

0 = u - 9.8×4

u = 39.2

A vector is defined by its direction and length; its location does not
matter.

A:True

B:False​

Answers

False.

a quantity  having direction as well as magnitude, especially as determining the position of one point in space relative to another.Vectors are quantities that are fully described by magnitude and direction. Not Length!

Answer:

B.) False

Explanation:

Please put my answer as brainlist answer

I hope it helps you

what is mass in physics​

Answers

Answer:

Mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force. The greater the mass of a body, the smaller the change produced by an applied force.

Explanation:

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Answer:

Mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force. The greater the mass of a body, the smaller the change produced by an applied force.

Explanation:

Hope that helps! :)

Question 5: Which object traveled at a faster speed? (Make sure to show your
work!!)
Object A: 65 miles in 13 minutes
Object B: 125 miles in 25 minutes

Answers

Answer: objects A and B have the same speed.

Explanation:

Speed = distance divided by time.

Object A: 65 miles in 13 minutes

Speed (A) = 65 miles divided by 13 minutes

Speed (A) = 5 miles per minute

Object B: 125 miles in 25 minutes

Speed (B) = 125 miles divided by 25 minutes

Speed (B) = 5 miles per minute

Thus, objects A and B have the same speed.

Pleaseee can u help with q 3 and 4

Answers

Answer:

Number 4 is C.

Explanation:

Trust me

Answer:

number 3 = A and number 4 = c

What will happen in the next moment for the girl on the swing?

1.Fill in wether quantities will increase, decrease, or stay the same.

2. Support your answer in the table below

Answers

Answer:

Increase, same, same

Explanation:

How electromagnet works in circuit breaker

Answers

Explanation:

A circuit breaker is an automatic switch that cut off current in a circuit when the current become too large. When the current in a circuit increases, the strength of the electromagnet will increase in accordance; this will pull the soft iron armature towards the electromagnet.

What is the major source of energy on Earth? Group of answer choices a.photosynthesis b.fossil fuels c.EM waves from the sun d.
plants that are used for food.

Answers

Answer:

Em waves from the sun d

Explanation:

Answer:

The answer is photosynthesis

Explanation:

True or False. A compound is formed when two or more elements are combined to make a new substance with its own properties.

Answers

I believe that the answer is true

Answer:

true

Explanation:

did the quiz

How many kgs are in 1000N?​

Answers

Answer:

this much I think 101.9716212978

Answer:

approximately 102kg

Explanation:

1 kg on the surface of the Earth weighs 9.80665 N

1000 N = 1000/9.80665 kg = 102 kg

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A 1.0kg cart moving right at 5.0 m/s on a frictionless track collides and
sticks to a second cart moving left at 2.0 m/s. The two carts have a final
speed of 1.0 m/s to the left.
What is the mass of the second cart?

Answers

Let’s use the *queue dramatic voice* LAW OF THE CONSERVATION OF MOMENTUM!
m1v1i + m2v2i = m1vf + m2vf

m1v1i - m1vf = m2vf - m2v2i

m1(v1i - vf) = m2(vf - v2i)

m2 = [m1(v1i - Vf)] / (vf - v2i)

m2 = [(1)(5 - -1)] / (-1 - -2)

m2 = 6 / 1

m2 = 6 kg
And that’s your final answer! Please press “Thanks”!

SI UNIT OF GRAVITY is the​

Answers

Answer:

G

Explanation:

Analyzing Ideas A friend claims to have built a
motor by attaching a shaft to the core of a galva-
nometer and removing the spring. Can this motor
rotate through a full rotation? Explain your answer.

Answers

Answer:

Yes, the magnet force will cause the motor rotate through a full rotation. So the friend who claims to have built a motor by attaching a shaft to the core of a galvanometer and removing the spring is correct.

Sorrryyyyy I need to for points for someone I’ll answer later

a effort of 100n can raise a load of 2000n in a hydraulic press. calculate the cross-sectional area of a small piston in it. The cross-sectional area of a large piston is 4m^s​

Answers

Answer:

[tex]A_{1}[/tex] = 0.2 [tex]m^{2}[/tex]

Explanation:

The pressure on the pistons is given as;

Pressure = [tex]\frac{Force}{Area}[/tex]

So that,

Pressure on the small piston = [tex]\frac{F_{1} }{A_{1} }[/tex] and Pressure on the large piston = [tex]\frac{F_{2} }{A_{2} }[/tex]

Thus,

[tex]\frac{F_{1} }{A_{1} }[/tex] = [tex]\frac{F_{2} }{A_{2} }[/tex]

Given that: [tex]F_{1}[/tex] = 100 N, [tex]F_{2}[/tex] = 2000 N, [tex]A_{2}[/tex] = 4 [tex]m^{2}[/tex].

[tex]\frac{100}{A_{1} }[/tex] = [tex]\frac{2000}{4}[/tex]

[tex]A_{1}[/tex] = [tex]\frac{100*4}{2000}[/tex]

    = [tex]\frac{400}{2000}[/tex]

    = 0.2

[tex]A_{1}[/tex] = 0.2 [tex]m^{2}[/tex]

The area of the small piston is 0.2 [tex]m^{2}[/tex].

Which of the following statements is correct about air temperature?

1. When air temperature is higher, the weather is warmer.
2. Warm air falls to the ground.
3. Freezing air temperatures increase the chances of rain.
4. When air temperature is higher, the weather is colder.

Answers

Explanation:

Warm air falls to the ground

The statement that is correct about air temperature is when the air temperature is higher, the weather is warmer. The correct option is 1.

What is air temperature?

A measurement of the air's heat or cold is its temperature. It is the weather parameter that is most frequently measured.

The kinetic energy, or energy of motion, of the gases that make up air, is more explicitly described by temperature. The temperature rises as gas molecules move more swiftly.

Surface temperatures are typically hotter than air temperatures. Parking your car in the sun is an illustration of this. The air inside the car will be fairly close to the outside air temperature and you may leave the windows down and yet have excellent ventilation.

Therefore, the correct option is 1. When the air temperature is higher, the weather is warmer.

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1. Which of the following best describes social
dances?​

Answers

Answer:

this are dances formed mainly in communities.

Explanation:

they are done naming of children,worshipping or during initiation ceremonies

A dog runs down his driveway with an initial speed of 5.0 m/s for 8 seconds then uniformly increases his speed to 10 m/s in 5 seconds, how long is the driveway? SHOW WORK

Answers

Answer:

to find the displacement, or delta x (change in position) on a velocity graph, you can find the area under the line on the graph: between 1 and 8 seconds, the dog was going at 5m/s, so 5m/s x 8s=40m, for the second part, you have to find the area of both a triangle and a rectangle, so the rectangle would be 5m/s x 5s=25m and the area under the triangle would be (5m/s x 5s)/2=25m/2=12.5m -you divide by 2 because it's a triangle

-afterwards, you would add the area of the 2 sections together, so 40m+25m+12.5m=77.5m

Explanation:

Una pelota de golf se suelta desde el reposo del techo de un edificio muy alto. Despreciando la resistencia del aire, calcule (a) la posicion y (b) la velocidad de la pelota despues de 1s, 2s y 3s.

Answers

Answer:

a)   y = y₀ - 4.9, v = -9.8 m / s, b)  y =y₀ - 19.6,  v = - 19 m / s

c)  y =y₀ - 44.1, v = - 29.4 m / s

Explanation:

To solve this exercise let us use the kinematic relations

          y =y₀ + v₀ t - ½ g t²

          v = v₀ - g t

They indicate that the body is released therefore the initial velocity is zero v₀ = 0

          y = y₀ - ½ g t²

          v = - gt

a) the position and velocity for t = 1s

         y = y₀ - ½ 9.8 12

         y = y₀ - 4.9

         v = - 9.8 1

         v = -9.8 m / s

the negative sign indicates that the velocity is directed downwards

b) t = 2 s

         y =y₀ - ½ 9.8 2 2

         y =y₀ - 19.6

         v = - 9.8 2

         v = - 19 m / s

c) t = 3 s

        y = y₀ - ½ 9.8 3 2

        y =y₀ - 44.1

        v = - 9.8 3

        v = - 29.4 m / s

An object has a kinetic energy of 25 J and a mass of 34 kg, how fast is the object moving?

Answers

It moves about 1,21 m/s

A car driving at a constant velocity of 15 m/s has what acceleration? PLEASE HELP

Answers

Answer:

32

Explanation:

Explain the advantages and disadvantages of having a racecar with a large mass in reference to Newton’s 1st law of motion. Use the term inertia in your answer.

Answers

Answer:

read the explanation

Explanation:

My answer to research question one is a car with a higher mass has more inertia than a car with a lower mass. A car with a higher mass needs more force to move than a car with a lower mass. The advantage of a car with greater mass is that it takes less impact when crash happens and has more protection.

The advantage of a race car with large mass is that it will continue moving without stopping once it is already in motion.

The disadvantage of a race car with large mass is that it will be difficult to get it start moving.

The Newton's first law of motion states that, an object in a state of rest or uniform motion in a straight line will continue in that form unless it is acted upon by an external force.

This first law is also known as law of inertia because it depends on mass of the object.

Inertia is reluctance of an object to move or stop moving once it is in motion.

Thus, the advantage of a race car with large mass is that it will continue moving without stopping once it is already in motion.

The disadvantage of a race car with large mass is that it will be difficult to get it start moving.

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_____ is a area of darkness

Answers

Answer:

Shadow

Explanation:

Shadow is a area of darkness.

When sunlight falls on an object ot blocks the light from getting onto the surface . Hence, as light does not falls on that region it is dark. Hence, the shadow is the area of darkness.

Answer:

shadow is a area of darkness

Theo and Kelly are fighting over a remote control. Theo is pulling with a force of 32 N to the left and Kelly is pulling with a force of 38 N to the right. What is the final net force and direction of movement of the remote?

Answers

Answer:

6N to the right

......

.....

Difference between crest and trough

Answers

Answer:

The highest surface part of a wave is called the crest, and the lowest part is the trough. The vertical distance between the crest and the trough is the wave height. The horizontal distance between two adjacent crests or troughs is known as the wavelength.

I hope it's helpful!

A student release a ball from a height of 1.5 above the floor. Which of the following statements best describes the energy of the ball as it falls?

Answers

We need the statements to answer the question
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