A hollow cylindrical (inner radius = 1.0 mm, outer radius = 3.0 mm) conductor carries a current of 80 A parallel to its axis. This current is uniformly distributed over a cross section of the conductor. Determine the magnitude of the magnetic field at a point that is 2.0 mm from the axis of the conductor.

Answers

Answer 1

Answer:

The magnetic field is   [tex]B = 3 mT[/tex]

Explanation:

From the question we are told that

     The inner radius is  [tex]r_i = 1.00 mm =1*10^{-3} \ m[/tex]

      The outer radius is  [tex]r_2 = 3.00 \ mm = 3.0 *10^{-3} \ m[/tex]

       The distance from the axis of the conductor is [tex]d =2.0 \ mm = 2.0 *10^{-3} \ m[/tex]

      The current carried by the conductor is  [tex]I = 80 A[/tex]

According to Ampere's circuital law , the magnetic field at a point that is  [tex]r_3[/tex]  from the axis of the conductor

                  [tex]B = \frac{\mu_oI}{2 \pi d } [\frac{d - r_1}{r_2 -r_1} ][/tex]

Where [tex]\mu_o[/tex] is the permeability of free space with a value of [tex]\mu_o = 4 \pi *10^{-7} N/A^2[/tex]

substituting values

                  [tex]B = \frac{(4 \pi *10^{-7})(80)}{2 * 3.142 * 2 *10^{=3} } [\frac{(2^2 - 1 ^2 )*10^{-3}}{(3^2 - 1^2) *10^{-3}} ][/tex]

                 [tex]B = 3 mT[/tex]

         


Related Questions

A student builds a simple circuit and a magnet under one of the circuit wires. When the switch is closed charges flow int the circuit and the wire moves

Answers

Answer:

Magnetic field, current and motion are mutually dependent.

Explanation:

Fleming's right hand principle explains that when any two of current, magnetic field and motion are available, the third would be induced. These three variable are mutually perpendicular to one another. This principle has its application in an electric fan which induces the motion of the blades due to flow of current and magnetic field in the coil.

In the simple circuit, the interaction between the flow of charges (i.e current) and the magnetic fields of the permanent magnet induced the motion of the wire.

What is an example of a wave that is not mechanical and how is it different?

Answers

Answer:

light is an example of a wave that is not mechanical .

it is different as it does not need material medium for its propagation

An 85kg man is jogging with a velocity of 2.6m/s to the north .nearby a 65kg person is skateboarding and traveling with a velocity of 3m/s north .which person has greater momentum show your calculations

Answers

Answer:

P1 = 85×2.6=221kgm/s

P2= 65×3=195kgm/s

so first person had more momentum

Yurem is pulling a wagon across the playground with a force of 10 N. He asks Elian a to help. She agrees and pushes the back of the wagon in the same direction with a force of 12 N. What is the net force acting on the wagon?

Answers

Answer:22N

Explanation:

Net force = F1 + F2

=12+10=22N

Both forces are applied in the same direction. So the net force 22N causes a change in the body's state of rest. When several forces act in a body, the body will move in the direction of the net force.

Answer:

22N

Explanation:

During photosynthesis, ___________ energy is converted into ____________ energy.

Answers

Answer:

Answer is radiant and chemical.

Hope this help:)

Sry if wrong

Five workers from the same factory developed angiosarcoma, a rare cancer of the veins and arteries. Which part of the scientific method is this? Group of answer choices conclusion experiment observation none of these hypothesis

Answers

Answer:

a

Explanation:

i took the test

Five workers from the same factory developed angiosarcoma, a rare cancer of the veins and arteries. This is observation of the scientific method.

What is scientific method?

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

It entails developing hypotheses through induction based on these observations, testing the validity of those hypotheses through experimental and measurement-based statistical testing of the inferences made from them, and then fine-tuning (or discarding) those hypotheses in light of the experimental results.

These are the guiding principles of the scientific process, as opposed to a predetermined set of steps that apply to all scientific endeavors.

Learn more about  scientific method here:

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SpongeBob SquarePants recently met SpongeSusie Roundpants at a dance. SpongeBob is heterozygous for his square shape, but SpongeSusie is homozygous for her round shape. Create a Punnett square to show the possibilities that would result if SpongeBob and SpongeSusie had children. HINT: square shape is dominant. A. List the possible genotypes and phenotypes for their children. B. What are the chances of a child with a square shape? out of or % C. What are the chances of a child with a round shape? out of or ____%

Answers

Answer:

A. Pp - square pant

    pp - round pant

B. 1 out of 2 or 50%

C. 1 out of 2 or 50%

Explanation:

Assuming that square pant shape is represented by the allele P, the alternate version (round pant) will be p.

Spongebob's genotype will be Pp since he is heterozygous for his square pant shape.

SpongeSusie's genotype will be pp since she is homozygous for her round pant shape.

Pp   x   pp

Progeny: 2Pp, 2pp (See the attached image for the Punnet's square)

Possible genotypes and phenotypes of the children:

Pp - Square pant

pp - round pant

Chances of a child with a square shape = 1/2 or 50%

Chances of a child with a round shape = 1/2 or 50%

Answer:

50

Explanation:

list all the types of energy

Answers

Answer:

See Below

Explanation:

1: Thermal  Energy

2: Chemical Energy

3: Nuclear Energy

4: Electrical Energy

5: Radiant Energy

6: Light Energy

7: Motion Energy

8: Sound Energy

There are 8 types are energy that are above.

Hope this helps.

help please! This question is driving me crazy

Answers

Answer:

-10.8°, or 10.8° below the +x axis

Explanation:

The x component of the resultant vector is:

x = 3.14 cos(30.0°) + 2.71 cos(-60.0°)

x = 4.07

The y component of the resultant vector is:

y = 3.14 sin(30.0°) + 2.71 sin(-60.0°)

y = -0.777

Therefore, the angle between the resultant vector and the +x axis is:

θ = atan(y / x)

θ = atan(-0.777 / 4.07)

θ = -10.8°

The angle is -10.8°, or 10.8° below the +x axis.

A thermometer measures the temperature of air and uses units like?

Answers

Celcius and Fahrenheit.

Answer:

A thermometer is an instrument that measures temperature.

Explanation:

It can measure the temperature of a solid such as food, a liquid such as water, or a gas such as air.

explain the application of pascals law

Answers

Answer:

pplications of Pascal’s Law  

Hydraulic Lift: The image you saw at the beginning of this article is a simple line diagram of a hydraulic lift. This is...

The construction is such that a narrow cylinder (in this case A) is connected to a wider cylinder (in this case B). They...

Pressure applied at piston A is transmitted equally to piston B without diminishing, on use of an incompressible fluid.

Explanation:

how do you calculate the net force, i need a full explanation PLEASE

Answers

Answer:

Once you have drawn the free-body diagram, you can use vector addition to find the net force acting on the object. We will consider three cases as we explore this idea:

Case 1: All forces lie on the same line.

If all of the forces lie on the same line (pointing left and right only, or up and down only, for example), determining the net force is as straightforward as adding the magnitudes of the forces in the positive direction, and subtracting off the magnitudes of the forces in the negative direction. (If two forces are equal and opposite, as is the case with the book resting on the table, the net force = 0)

Example: Consider a 1-kg ball falling due to gravity, experiencing an air resistance force of 5 N. There is a downward force on it due to gravity of 1 kg × 9.8 m/s2 = 9.8 N, and an upward force of 5 N. If we use the convention that up is positive, then the net force is 5 N - 9.8 N = -4.8 N, indicating a net force of 4.8 N in the downward direction.

Case 2: All forces lie on perpendicular axes and add to 0 along one axis.

In this case, due to forces adding to 0 in one direction, we only need to focus on the perpendicular direction when determining the net force. (Though knowledge that the forces in the first direction add to 0 can sometimes give us information about the forces in the perpendicular direction, such as when determining frictional forces in terms of the normal force magnitude.)

Example: A 0.25-kg toy car is pushed across the floor with a 3-N force acting to the right. A 2-N force of friction acts to oppose this motion. Note that gravity also acts downward on this car with a force of 0.25 kg × 9.8 m/s2= 2.45 N, and a normal force acts upward, also with 2.45 N. (How do we know this? Because there is no change in motion in the vertical direction as the car is pushed across the floor, hence the net force in the vertical direction must be 0.) This makes everything simplify to the one-dimensional case because the only forces that don’t cancel out are all along one direction. The net force on the car is then 3 N - 2 N = 1 N to the right.

Case 3: All forces are not confined to a line and do not lie on perpendicular axes.

If we know what direction the acceleration will be in, we will choose a coordinate system where that direction lies on the positive x-axis or the positive y-axis. From there, we break each force vector into x- and y-components. Since motion in one direction is constant, the sum of the forces in that direction must be 0. The forces in the other direction are then the only contributors to the net force and this case has reduced to Case 2.

If we do not know what direction the acceleration will be in, we can choose any Cartesian coordinate system, though it is usually most convenient to choose one in which one or more of the forces lie on an axis. Break each force vector into x- and y-components. Determine the net force in the x direction and the net force in the y direction separately. The result gives the x- and y-coordinates of the net force.

Example: A 0.25-kg car rolls without friction down a 30-degree incline due to gravity.

We will use a coordinate system aligned with the ramp as shown. The free-body diagram consists of gravity acting straight down and the normal force acting perpendicular to the surface.

We must break the gravitational force in to x- and y-components, which gives:

F_{gx} = F_g\sin(\theta)\\ F_{gy} = F_g\cos(\theta)F

gx

=F

g

sin(θ)

F

gy

=F

g

cos(θ)

Since motion in the y direction is constant, we know that the net force in the y direction must be 0:

F_N - F_{gy} = 0F

N

−F

gy

=0

(Note: This equation allows us to determine the magnitude of the normal force.)

In the x direction, the only force is Fgx, hence:

F_{net} = F_{gx} = F_g\sin(\theta) = mg\sin(\theta) = 0.25\times9.8\times\sin(30) = 1.23 \text{ N}F

net

=F

gx

=F

g

sin(θ)=mgsin(θ)=0.25×9.8×sin(30)=1.23 N

A nightlight uses 4.0W of power when plugged into an outlet. The current of the circuit is .034A. What is the voltage across the light bulb's filament?

Answers

Answer:

Voltage V = 117.65 volts

the voltage across the light bulb's filament is 117.65 V

Explanation:

The power of a light bulb can be expressed with respect to voltage and current flow.

Power = voltage × current

P = VI

Making Voltage V the subject of formula;

V = P/I

Given;

Power P = 4.0W

Current I = 0.034A

Substituting the given values;

V = 4/0.034

V = 117.65 volts

6) what is ararge of speed​

Answers

Answer:

in everyday use and in kinematic the speed of an object is the magnitude of the change of its position it is thus a scalar quantity

What are five differences between drama and prose​

Answers

Answer:

Drama: it has sadness anger and romance

and

i forgot about Prose =w=

Explanation:

This demonstrates which of the following?

Answers

Answer:

A. is the answer

i think the answer is 8!

some amusement parks have a ride where people are attached to a long cable, pulled back, and let go, like a pendulum. if the cable is 45.5 m long, what will the period of oscillation be?(unit=s)

Answers

Answer:

The period is  [tex]T = 13.53 \ sec[/tex]

Explanation:

From the question we are told that

     The length of the cable is  [tex]L = 45.5 \ m[/tex]

Let take acceleration due to gravity as [tex]g = 9.8 \ m/s^2[/tex]

Now the period of the oscillation is mathematically represented as

          [tex]T = 2 \pi \sqrt{\frac{L}{g} }[/tex]

substituting values

          [tex]T = 2 * 3.142 \sqrt{\frac{45.5}{9.8} }[/tex]

          [tex]T = 13.53 \ sec[/tex]

Answer: 13.53

Explanation:

The distance between Neptune and the Sun is 30.06 AU. What is this distance in millions of kilometers? (One AU is about 150 million kilometers.)

A. 450 million kilometers
B. 450.9 million kilometers
C. 4,000 million kilometers
D. 4,509 million kilometers

Answers

Answer:

It will be B

Explanation:

Answer:The answer is B

A solute depresses the freezing point because the solute ____.


a. is colder than the solvent

b. disrupts crystal formation of the solvent

c. tends to sink to the bottom of the solution

d. has bigger molecules than the solvent

Answers

Answer:

The correct option is b: A solute depresses the freezing point because the solute disrupts the crystal formation of the solvent.

Explanation:

The depression of the solvent's freezing point is caused by the addition of a solute because the presence of the molecules of the solute interferes in the arrange and close up of the molecules of the solvent to form the crystal of the solid.

The attraction of the solute molecules to the solvent molecules interfere with the formation of the solid, so the solution must be cooled to a lower temperature so it can form the solid.

Hence, the correct option is b: A solute depresses the freezing point because the solute disrupts the crystal formation of the solvent. The other options are incorrect.

I hope it helps you!              

5 different energy stores
i got
chemical, kinetic, internal, nuclear
what am i missing?

Answers

Answer: There are seven main stores of energy: magnetic

internal (thermal)

chemical

kinetic

electrostatic

elastic potential

gravitational potential

Explanation: So you can have any of these

Why is creativity important in constructing scientific questions?
A. Science only works when everyone does exactly the same thing.
B. Creativity is the only way to make a controlled experiment.
C. There are very few scientists who are creative people.
D. Asking an unusual question can lead to major breakthroughs.

Answers

B) Creativity is the only way to make a controlled experiment

Science does not  work when every one does the same thing, some creative thinking will be major breakthroughs for an invention. Therefore, option B is correct.

Why creativity plays a role in scientific experiments ?

So how do researchers come up with those particular questions to look into ! It may come as a shock to learn how much imagination is required for the procedure.

Peter Medawar, a Nobel Prize-winning biologist, once described scientific inquiry as "the art of the soluble"  In order to succeed in science, one must first identify the questions that may be answered by scientific study and then determine the answers to those questions, according to Medawar.

Because of how intricate the natural world is, it is frequently impossible to directly address the really intriguing, significant scientific topics

The art of science includes repeatedly re-imagining these complex issues, mentally dividing them into more manageable components, and then guessing as to which of these more manageable components might hold the answer to solving the larger issue.

Therefore, all the discoveries and inventions are resulted from the creative ideas and thoughts of scientists. Therefore, creativity is the only way to make a controlled experiment.

Find more on scientific questions:

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A kettle transfers 1500 J of energy, 1200 J to a thermal energy store and 300 J to a vibrational energy store (sound). How efficient is the kettle?

Answers

Answer: 0.8

Explanation:

The efficiency is defined as the ratio of total imput energy that is actually utilized to the end of the device.

So if we have a total transfer of 1500j of energy, and 1200j are used to heat the thing inside the kettle, 300j are not used to the actual function of the kettle.

So the efficiency is n = 1200j/1500j = 0.8

This means that a 80% of the energy imput is actually used to heat the kettle.

A motorcycle starting from rest covers 200 metre distance in 6 second. Calculate final velocity and acceleration of the motorcycle.​

Answers

Answer:

Explanation:I don't say you must have to mark my ans as brainliest but if you think it has really helped u plz don't forget to thank me....

Two waves with Amplitude of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other what is the resultant amplitude of the wave

Answers

Answer:

Resultant amplitude = 1 unit.

Explanation:

The amplitude of a wave is its maximum displacement during propagation.

Since the two waves are out of phase, the resultant amplitude can be determine by;

Resultant amplitude, [tex]A_{R}[/tex] = [tex]\sqrt{A_{1} ^{2} + A_{2} ^{2} + 2A_{1} A_{2}cos \alpha }[/tex]

                                        = [tex]\sqrt{(A_{1} - A_{2} )^{2} }[/tex]

                                        = [tex]A_{1}[/tex] -  [tex]A_{2}[/tex]

where [tex]\alpha[/tex] is the phase difference.

Given that: [tex]A_{1}[/tex] = 75 units, [tex]A_{2}[/tex] = 74 units, so that;

[tex]A_{R}[/tex] = 75 - 74

     = 1

The resultant amplitude of the two wave when out of phase is 1 unit.

Answer:

Resultant amplitude = 1 unit.

Explanation:

The amplitude of a wave is its maximum displacement during propagation.

Since the two waves are out of phase, the resultant amplitude can be determine by;

Resultant amplitude,  =

                                       =

                                       =  -  

where  is the phase difference.

Given that:  = 75 units,  = 74 units, so that;

= 75 - 74

    = 1

The resultant amplitude of the two wave when out of phase is 1 unit.

Look around the room you are in. Name
something in the space that would be a
conductor. How about an insulator?

Answers

Answer:

A wire,rubber

Explanation:

yes

Answer:

Water is a conductor,

An Eraser is an insulator.

Explanation:

Water contains charged ions and impurities that make it a very good conductor of electricity.

The properties of rubber (eraser) causes the electrons to slow down and eventually prevent them from moving at all. Keeping electricity bound within the material is the main goal of an insulator.

A block of metal has a mass of 0.5Kg and density of 8000kg/m3. if it is suspended from a string and completely immerged in water(gw=1000kg/m3). the tension in the string(the answer is 4.375N what are the steps)

Answers

Explanation:

Draw a free body diagram.  There are three forces on the block:

Weight force mg pulling down,

Buoyancy force B pushing up,

Tension force T pushing up.

Sum of the forces in the y direction:

∑F = ma

B + T − mg = 0

T = mg − B

Buoyancy is the weight of the displaced fluid:

T = mg − ρVg

The block is fully submerged, so the volume of displaced fluid equals the volume of the block.  The volume of the block is its mass divided by its density.

T = mg − ρ (m/ρₓ) g

T = mg (1 − ρ/ρₓ)

Plug in values and solve.

T = (0.5 kg) (10 m/s²) (1 − (1000 kg/m³) / (8000 kg/m³))

T = (5 N) (1 − ⅛)

T = 4.375 N

Which process is the most scientifically plausible explanation for how the organisms released oxygen into Earth's atmosphere? Group of answer choices

Answers

Answer:

Photosynthesis

Explanation:

Studies about the time period of oxygen accumulation suggests that free oxygen was first produced by prokaryotic and then later by eukaryotic organisms in the ocean. These organisms carried out photosynthesis more efficiently, producing oxygen as a waste product.

The organism mainly responsible for this is known as cyanobacteria, or blue-green algae. These microbes conduct photosynthesis: using sunshine, water and carbon dioxide to produce carbohydrates and, oxygen.

If a wave has a speed of 100 m/s and a wavelength of 20 meters, what is the frequency? ​

Answers

The frequency is 5 because ratio waves travel at the speed of light.

Answer:

f = 5 Hz

Explanation:

use f = speed / wavelength

f = 100 m/s / 20 m

f = 5 Hz

A man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east.
i) What is the total distance travelled
ii) what is the result in displacement

Answers

Answer:

i) 8.0mii) 6.32m

Explanation:

i) The total distance traveled will be the sum total of individual distances traveled by the man.

If the man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east, the total distance traveled will be expressed as; 1.5m+2m+4.5m

= 8.0m

ii) In order to get the man resultant displacement, we will use the Pythagoras theorem. Since the man travels a distance if 1.5 m and 4.5m towards east, the total distance taken towards east will be 6.0m and the distance traveled towards south is 2.0m. The resultant displacement of the man is expressed as;

R = [tex]\sqrt{x^{2}+y^{2} }[/tex]

Note that the eastward direction is the x-direction while the south direction is the y-direction.

x = 6.0m and y = 2.0m

[tex]R = \sqrt{6^{2}+2^{2} } \\R = \sqrt{36+4}\\ R = \sqrt{40} \\R = 6.32m[/tex]

The displacement of the man is 6.32m

A homogenous rod of length 5 m and a mass of 60 kg is kept in lever. Calculate the effort required to balance lever.

Answers

Answer:

Junior Member. A 60 lb weight is located 3 feet from the fulcrum of a lever.

Explanation:

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