A cylindrical conductor with a circular cross section has a radius a and a resistivity rho and carries a constant current I. (Take the current to be coming out of the page when the cross-sectional view of the conductor is in the plane of the page.)
a)What is the magnitude of the electric-field vector E⃗ at a point just inside the wire at a distance a from the axis?
b)What is the magnitude of the magnetic-field vector B⃗ at the same point?
c)What is the magnitude of the Poynting vector S⃗ at the same point?
d)Use the results in parts (e) and (f) to find the rate of flow of energy into the volume occupied by a length l of the conductor. (Hint: Integrate S⃗ over the surface of this volume.) P=?
e)Compare your result to the rate of generation of thermal energy in the same volume. P/PR=?

Answers

Answer 1

a) The magnitude of the electric field vector E⃗ just inside the wire at a distance a from the axis is given by E = (I / (2πaρ)), where I is the current, a is the radius of the conductor, and ρ is the resistivity.

b) The magnitude of the magnetic field vector B⃗ at the same point can be determined using Ampere's law, which states that B = (μ0I) / (2πa), where μ0 is the permeability of free space.

c) The magnitude of the Poynting vector S⃗ at the same point is given by S = (1 / μ0) * (E × B), where E is the electric field vector and B is the magnetic field vector.

d) To find the rate of flow of energy into the volume occupied by a length l of the conductor, we need to integrate the Poynting vector S⃗ over the surface of this volume. The power P is obtained by integrating S⃗ over the surface area, which gives P = ∫S⃗ · dA, where dA is the differential area element.

e) To compare the rate of flow of energy (P) to the rate of generation of thermal energy in the same volume (PR), we can calculate the ratio P/PR.

How are the magnitudes of electric field, magnetic field, and Poynting vector calculated in a cylindrical conductor with a constant current?

To calculate the magnitudes of the electric field, magnetic field, and Poynting vector, specific formulas and laws such as Ampere's law and the Poynting vector formula are used.

These formulas involve variables such as current, radius, resistivity, and permeability of free space. Understanding these formulas and applying them correctly allows us to determine the magnitudes of these quantities in a given cylindrical conductor.

Learn more about Cylindrical conductor

brainly.com/question/32197108

#SPJ11


Related Questions

what type force does this depict?

Answers

Answer:

c. gravitational force

Explanation:

Two spheres are moving towards each other. Which of the following is the
best evidence that the spheres have transferred energy from one to the other?

A.The friction of the surface decreases

B.Gravity is always acting on the spheres

C.The motion of the sphere changes

Or

D.Both of the spheres have the same mass

Answers

Answer:

D

Explanation:

If they are both moving at the same speed then its D.

One of the largest planes ever to fly, and the largest to fly frequently, is
the Ukrainian-built Antonov An-124 Ruslan. Its wingspan is 73.2 m
and its length is 69.2 m. The gravitational potential energy associated
with the plane at an altitude of 1.45 km is 3.36 x 10^9 J. What is the airpanes mass

Show work pls :)

Answers

The gravitational potential energy associated with the plane is 2.36 x [tex]10^{5}[/tex] J

What is gravitational potential energy?

Gravitational potential energy is energy an object possesses because of its position in a gravitational field.

It is given by P.E = mgh

where m = mass

g= acceleration due to gravity

h = height of the object

Here,

h = 1.45km  = 1450 m

P.E = 3.36 x [tex]10^{9}[/tex] J

g = 9.8m/[tex]s^{2}[/tex]

therefore, m = P.E/ gh = (3.36 x [tex]10^{9}[/tex]s J)/ 9.8 x 1450

m = 2.36 x [tex]10^{5}[/tex]

Hence mass of the airplane is 2.36 x [tex]10^{5}[/tex]

To know more about gravitational potential energy here

https://brainly.com/question/19768887

#SPJ2

What is the direction of the current in the loop as the north pole of the magnet is pulled away (to the right) from the loop of wire. Answer as you face the loop from the magnet.

Answers

Answer:

Explanation:

Applying Fleming's right hand rule, the induced current would flow in a clockwise direction in the loop. Explanation: Current, magnetic field and motion are mutually dependent and perpendicular to one another.Aug 27, 2019

A rocket at rest with a mass of 942 kg is acted on by an average net force of 6,731 N upwards for 21 s. What is the final velocity of the rocket?

Answers

Answer:

Final velocity, V = 150.15 m/s

Explanation:

Given the following data;

Mass = 942kg

Net force = 6,731N

Time = 21secs

To find the final velocity of the rocket;

First of all, we would determine the acceleration of the rocket with respect to time.

Force = mass * acceleration

Substituting into the equation, we have;

6,731 = 942*acceleration

Acceleration = 6731/942

Acceleration = 7.15m/s²

Now, to find the final velocity we would use the first equation of motion.

V = U + at

Since the rocket started from rest, its initial velocity (U) is zero.

V = 0 + 7.15*21

Final velocity, V = 150.15 m/s

A tractor pulls a 1,000 kg wagon with a force of 4,000N. What is the wagon’s acceleration in m/s2? *

Answers

Answer:

4m/s^2

Explanation:

acceleration=force/mass

therefore a=4000/1000

=4m/s^2

How are the sun and Earth's moon different?(2 points)
The sun is a ball of gases that revolves around Earth, while the moon is the center of the solar system,
The sun is a ball of rock and gas, while the moon is a ball of rock that revolves around the sun.
The sun is the center of the solar system, while the moon is a ball of rock that revolves around Earth
The moon is the center of the solar system, while the sun is the center of the Milky Way.

Answers

Answer: The Sun measures 1.4 million km across, while the Moon is a mere 3,474 km across. In other words, the Sun is roughly 400 times larger than the Moon. But the Sun also happens to be 400 times further away than the Moon, and this has created an amazing coincidence.

Explanation:

plsss anyone help I BEG. its not that hard im just lazy and don't feel like thinking3

Answers

Answer:

Well I think you should think

Importance of Forest ​

Answers

Answer:

to help keep fresh air

Explanation:

To produce oxygen and protect oxygen

plzz helpppp meee!!!!

A farmer cannot get his cow to move without help. The cow has a mass of 425 kg. He returns with some neighbors, and they are able to exert a net force of 900 N on the cow. What is its acceleration?​

Answers

A=f/m
A=900/425
A=2.18

To determine acceleration you divide the force by the mass.

Answer:

hhh

Explanation:

Motion Quiz 1
Part I. Vocabulary (5 points each)
1. The location of an object.
2. A change in the position of an object in reference to a starting point. 3. A change in the position of an object that includes distance and direction. 4. North, south, right, and down are all examples of ________. 5. How fast or slow something moves over a given distance per unit of time. 6. A unit of measurement for time.
Part II. Multiple Choice (10 points each)
Direction
Displacement Meters
Minutes
Motion
Position
Speed

A toy robot moved from a starting point, traveling in a straight line at different speeds and then turning around and returning to the starting point at different speeds.

7. What is the total distance that the toy robot traveled?
A. 12 m
B. 24 m
C. 48 m
D. 96 m
8. A cyclist travels 3 km north in 25 minutes. What does this information describe?
A. mass
B. force
C. motion
D. gravity
9. A book is lying on a seat in a car that is moving at 50 kilometers per hour (km/h). The driver says that the book is not moving. An outside observer says the book is moving at 50 km/h because it is in the car. Which is the most logical conclusion for these two statements?
A. Motion is detected only if the car accelerates and is measured by the observer.
B. Motion is absolute, and the driver is incorrect saying that the book has no motion.
C. Motion is relative to a given frame of reference, and both the driver and observer are correct.
D. Motion is constantly changing so neither person’s statement will be correct when the car slows down.
10. Which measurement describes the speed of a rubber ball?
A. 5 cm
B. 10 m/s
C. 15 newtons
D. 50 grams
11. A change in the position of an object as time changes best describes
A. direction.
B. waves.
C. motion.
D. frequency.
12. A school bus moves past a parked car at a speed of 30 km/h. Which of the following best describes the observation made by a passenger on the bus?
A. The car appears to be moving 30 km/h in the same direction as the bus.
B. The car appears to be moving 30 km/h in the opposite direction of the bus. C. The car appears to be moving 15 km/h in the same direction as the bus.
D. The car appears to be moving 15 km/h in the opposite direction of the bus.
13. Calculate the speed when the distance travelled is 800 km and the time is 40 seconds. A. 200 km/sec
B. 320 m/sec
C. 20 km/sec
D. 32 m/sec

Answers

Do you still need help with this question

the force required to lift a load of 800 Newton by using a Lever having a mechanical advantage of 1.6 is​

Answers

Answer:force required to lift the load = 500N

Explanation:

Mechanical advantage for a lever is given by the formulae

= force output/force input

or

Mechanical Advantage = Load / Effort

where

Force output  / Load= 800 N

mechanical advantage = 1.6

Force input / Effort =??

Force input=  Force output /Mechanical advantage

= 800N / 1.6

=500N

OR

Effort = Load/ Mechanical Advantage = 800/ 1.6 = 500N

A force of 10 N acts to the left and a force of 5 N acts to the right on an object of mass 1 kg. If its initial speed is zero , what is its velocity after 1 second ?

Answers

Answer: -5 m/s

Explanation:

First find the net force by summing up the forces:

-10N + 5N = -5N

Use Newton's Second Law of motion to solve for the acceleration:

F = ma

-5N = 1kg(a)

a = -5 m/s^2

Use the first kinematic equation to solve for the final velocity:

Vf = Vi + at

Vf = 0 + (-5)(1)

Vf = -5 m/s

Una pieza de platino metalico con densidad 21.5 g/cm3 tiene un volumen de 4.49 cm3. Cual es su masa

Answers

Answer:

m = 96.53 grams

Explanation:

Given that,

The density of metallic platinum, d = 21.5 g/cm³

Volume, V = 4.49 cm³

We need to find the mass. Let it is m. We know that the density is equal to the mass per unit volume. So,

[tex]d=\dfrac{m}{V}\\\\m=d\times V\\\\m=21.5\times 4.49\\\\m=96.53\ g[/tex]

So, the required mass is 96.53 grams.

A rock with a mass of 80grams dropped into a graduated cylinder with 30 ml of water in it the readingof water became 70 ml what is the density of the rock

Answers

Explanation:

[tex]b = m \div v \\ 80 \div 30 \times 10 { -}^{2} [/tex]

the organelles are giving their job description to you can you identify which organelle are they? write your answers in your answer sheet.
1. Hi! My responsibility is to add stability and protection to plant cells. What am I?
2. Hi! produce proteins inside the cell. What am I ?
3. Hello! I have a green pigment called the clorophyll. I also absorb solar energy to do the process of photosynthesis. What am I?
4. Good morning po! my work is to store food materials and excretes waste materials. I take a large space on plants. I make the leaves of plants fresh. what am i?
5. Hi! All organelles are embedded in me. I am a "jelly- like" substance. What am I?
Please real answer ​

Answers

1. cell wall?

2. ribosomes?

3. chloroplast

4. vacuoles

5. cytoplasm

This tasty snack starts as a kernel and is “popped” then
covered in salt, butter, caramel, peanuts, you name it.
Through thermal energy we've learned to heat things, you
could use conduction, convection and/or radiation. Describe
1 cooking option in detail including whether it is convection,
conduction or radiation. Must be at least 2 sentences.

Answers

Popcorn can be popped by either of the three forms of heat transfer:

Conduction in a pan with hot oil on a stove element.

Convection by an air popper and warm air rising over a heating element... no direct contact with heat source.

Radiation is what occurs in a microwave. Invisible radiant heat activates water molecules in the popcorn.

All the above heat the kernel over 100 Celsius. Water vaporizes/boils (latent heat) and erupts through the kernel.

Mmmm popcorn watch out for the lipids (fat in the oil and butter)


what is the wavelength of the wave

Answers

Explanation:

it is equal to the speed (v) of a wave train in a medium divided by its frequency (f): λ = v/f. Waves of different wavelengths.

Answer:

It is measured in the direction of the wave. Description: Wavelength is the distance from one crest to another, or from one trough to another, of a wave (which may be an electromagnetic wave, a sound wave, or any other wave).

how do I write an essay on how I feel about online school​

Answers

Answer:

Some students appreciated the social aspect of Zoom classrooms, while others felt online education worked best for them when they were working on their own. ... Students said they appreciated having a well-planned work week and didn't appreciate “surprise” assignments online any more than they appreciate them in class

Explanation:

What's I know I said

What do you u write it

calculate the change in gravitational potential energy of a stone of mass 0.55 kg as it falls through a distance of 2.7 m. ignore air resistance (mention formula)

Answers

Answer:

14, 85 J

Explanation:

The formula of potential Energy (P.E.) is

P.E. = m * g * h, where m is the mass in kilograms, g is the acceleration due to gravity (about 10 m / [tex]s^{2}[/tex] at the surface of the earth) and h is the height in meters.

Here P.E. is 0,55 kg * 10 m/s * 2,7 m = 14, 85 J

what are common in the pictures?​

Answers

Answer:

the flowers the left have them on there heads the middle on there chest and the right one has them on there shoulders

Energy is defined as ____________.

The ability of an object to produce a change in the environment or itself

motion

the effort required to perform work

power

Answers

Answer:

The effort required to perform work

Explanation:

What is the main reason people and bears slip and fall on ice, be careful when outside in the snow/ice.

Answers

Answer:

Both ice and snow have a lower coefficient of friction in comparison with grass, wood or pavement.

Explanation:

The main reason why people and bears, slip and fall on ice/snow is that both ice and snow have a lower coefficient of friction in comparison with grass, wood or pavement. We present below a comparative chart of coefficients of friction associated with different materials:

Material       Coefficient of Friction - Static                  

Ice/Snow                   0.05 - 0.3

Wood                          0.2 - 0.6

Asphalt                        0.5 - 0.7

Grass                            0.3 - 0.5

percent of Earth's surface is made up of Oxygen.
a) 30
b) 46
c) 62

Answers

Answer: it's made up about 21% so if you do not have this option I say go with 30

Explanation:

give three example what are the aims of each team in playing basketball?​

Answers

Answer:

The main objective of basketball is to make a goal and score points.Each team should not only try to make a goal and prevent the opposite team from taking control of the ball, but should also try to protect the basket in their court and prevent the opponent from making a goal.

hope that helps..

Select the correct answer.
Which pair of atoms has the highest electronegativity difference?
OA.
H-S
B.
H-Cl
o c.
N-H
OD.
О – Н
O E.
C-H

Answers

Answer:O – H

Explanation:

Complete the sentence. Friction always ____________

a. helps the motion

b. opposes the motion

c. both of these

d. none of these

Answers

Answer:

B- Opposes the motion

Explanation:

When two object touches each other. friction acts in a opposite direction to the motion of the object

B. Opposes the motion.

A marble rolling across a flat surface will not roll forever. This is due to friction. The marble rubs against the flat surface, slowing down until it finally stops.

Two photographers are competing for business in town. Andrea uses only film photography and Keira uses only digital photography. Keira claims that the digital technology is superior, and her advertisement claims that the images can be stored, shared, and copied more easily. They can even be sent long distances using a series of wave pulses to transmit the information. Andrea replies that digital images can be stolen and altered more easily.
Do the advantages outweigh the disadvantages, or do both sides have valid points? Support your answer with at least three reasons

Answers

There is no right or wrong answer, your teacher wants you to support your own answer with points. As long as the reasons make logical sense you are fine.

I think they both have valid points. Their replies are both true, but from a buyer's perspective who would you purchase services from? You would get different answers depending on who you ask.

If you choose to go old school, obviously you get an actual photo that can be stored physically. This means it is a memory that can be preserved, and it might feel more nostalgic being able to touch the photo.

On the other hand, a digitally stored photo can be altered (photoshop), but it is forever as long as the internet still exists. A physical photo would fade with time, which doesn't happen with a digital photo.

It is definitely easier to argue that digital photography has more advantages (they do, it is why nobody uses film anymore)

Points you can consider:

Can be transferred to the other side of the world instantly

Ability to make copies and print as many photos as you want

Can be stored on cloud/devices and be like that forever

Compare them with film photography to give a more solid response.

How many total molecules are present in the formula below
2H2O

Answers

There are 4 in there I believe

I'm guessing 6.

the coefficient of two turns our hydrogen into 4 and our oxygen into 2 which makes a total of 6 molecules.

What is the kinetic energy of a 5kg ball that is rolling 3m/s?

Answers

Answer:

22.5

Explanation:

As the mass is 5 kg,velocity is 3m/s so the derivation use for kinetic energy is 1÷2 mv*2 . By this derivation we will find out the kinetic energy

Other Questions
Which of the following events would increase the demand for cruise vacations? The price of cruises falls The price fall would increase the quantity demanded of cruises but not increase the demand itself. The market would just move to a new price/quantity demanded combination on the same demand curve. The economy is slowing, unemployment increases and average income falls. The price of air travelling decreased significantly. The popularity of cruises rises after a successful marketing campaign. The patient accidentally takes too much of the prescribed warfarin (Coumadin) and is readmitted to the hospital with bleeding. The nurse anticipates administration of: In general, what is the minimum size of the Layer 2 Ethernet Frame in bytes? What is/are the maximum size(s)? what is the number of the highest harmonic that may be heard by a person who can hear frequencies from 20 hz to 20000 hz? (1 point) find the area of the region outside r=5 5sin , but inside r=15sin. the term ""gerontocracy"" was coined in 19th-century france as a critique of a parliament made up of members who were almost all older than the majority of the adult population. true or false? Assume a company has two products-A and B--that emerge from a joint process. Product A hasbeen allocated $24,000 of the total joint costs of$48,000. A total of 2,000 units of Product A areproduced from the joint process. Product A can be sold at the split-off point for $16per unit, or it can be processed further for anadditional total cost of $14,500 and then sold for $25per unit. What is the financial advantage(disadvantage) of further processing Product A?A -$3,500B $3,500C-$22,000D $22,000 any methods that a core method might call are part of the core groupT/F why is it important to disable wi-fi and bluetooth when you are not using them? a patient with addison disease is receiving replacement therapy. which intervention is most appropriate? Question 1How did Andrew Johnson affect the reuniting of the United States after the Civil War?(A) He created new state constitutions that prevented Confederate leaders from taking positions in goverment.(B) He allowed southerners to retake their lands without pledging oaths of loyalty to the United States.(C) He granted pardons to thousands of wealthy southern landowners.(D) He refused to return property to landowning leaders of the Confederacy. Question 2What was a characteristic of Lincoln's plan for Reconstruction?(A) Ten percent of a state's voters had to pledge loyalty to the federal government to form a new state govemment.(B) Former enslavers would have land returned to them.(C) African Americans would be protected by a civil rights law(D) Black Codes that limited the rights of African Americans would be ignored.Question 3Which legislation gave African American citizens protection under the law?(A) 15th Amendment(B) Freedman's Bureau(C) Reconstruction Act of 1867(D) Civil Rights Act of 1866Question 4How did Congressional Republicans stop Andrew Johnson from slowing down Reconstruction efforts?(A) They put political pressure on Johnson and forced him to support Reconstruction bills.(B) They convinced lawmakers to vote for Reconstruction efforts so Johnson could not legally prevent the bills from passing.(C) They convinced Johnson to resign from office and replaced him with a president who supported Reconstruction.(D) They made deals with Johnson to put through some of the bills he wanted in return for supporting Reconstruction.Question 5How did the creation of new state constitutions affect the South after a few years?(A) It allowed African Americans to take control of government.(B) It increased the number of women in government, giving them power(C) It created a backlash that put rich white southerners back in control.(D) It increased the power of people experiencing poverty by giving them positions in government. Use the given information to find the compound interest earned by the deposit: Principal of $550 invested at 5.1% compounded annually, for 10 years O $354.46 O $252.45 $310.57 $280.50 if they could have met, thomas jefferson and plato would have probably shared the same views about the value of teaching persuasion.T/F The cord, which is wrapped around the disk, is given an acceleration of a = (10t) m/s, where t is in seconds. Starting from rest, determine the angular displacement, angular velocity, and angular acceleration of the disk when t = 3 s. a = (10) m/s 0.5 m the diluted solution was heated. (how did the increasing temperature affect the value of kc? On a computer system, the following properties exist:The Logical Address space is represented by 48-bits. (48-bit Virtual Addresses).The Page Size is 1MB. (2^{20}220 bytes).The Physical Address is represented by 32-bits.Each Entry in the Page Table is 4 bytes.Assume a two-level page table (where the inner page table fills up a whole 1MB page) and one process on the system:How many bits will the p1 part (highest-level bits) of the Virtual Address be?How many bits will the p2 part of the Virtual Address be?How many bits will be in the Offset part of the Virtual Address?For this part if your answer is 2^{10}210 bytes, enter 10. Just answer with the exponent.What is the total size (in bytes) for all of the inner page tables combined as an exponent of 2? (Do not count the size of the outer page table) What is a key difference between theories on aging before the 1950s and after the 1960s?a) Early theories were more objective, while later theories were more subjective.b) Early theories were more abstract, while later theories were more concrete.c) Early theories were more substantial, while later theories were lighter.d) Early theories were more renown, while later theories more dismissed. in this lab exercise were the results of the indole test necessary Mass of one drop of water is 0. 1 gram. Calculate the number of molecules of water present in 2 drop of water How does Narveson incorporate a mathematical "multiplier" into his argument? What do you think of is his argument here?