Due to the cylindrical symmetry of this problem, the induced electric field E⃗ (R,t) can depend only on the distance R from the z axis, where R is restricted to the region outside the iron rod. Find this field. Express E⃗ (R,t) in terms of quantities given in the introduction (and constants), using the unit vectors in the cylindrical coordinate system, θ^, r^, and k^

Answers

Answer 1

It is to be noted that the electric field that has been induced is (-B₁ A/2[tex]\pi[/tex]R)θ. This is obtained by using the vector units in the Cylindrical Coordinate System.

What are Cylindrical Coordinates?

Cylindrical Coordinates are simply defined as a component of a coordinate system that is used to locate a location in space using its polar coordinates and vertical distance from the polar plane.

How is the induced field arrived at?

The formula for Induced Electric Field is given as:

∫ E · dl = ∈

If we replace ∈ with -B₁A and 2[tex]\pi[/tex]R for dl then

∫ E · dl = -B₁A. Thus, we can state that

E∫ dl  = -B₁A

Replacing or substituting 2[tex]\pi[/tex]R for ∫ dl ·E(2πR)  = - B₁A

We can thus rearrange the equation to read:

E · E = ([tex]\frac{-B1A}{2\pi R}[/tex])θ


It is to be noted that the circumference of a circle is the integral of the length of the element. While θ, which in this case is the unit vector refers to the Cylindrical Coordinate and the direction of the electric field.

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Related Questions

A circular loop of wire 75 mm in radius carries a current of 113 A. Find the (a) magnetic field strength and (b) energy density at the center of the loop.

Answers

The magnetic field strength is 9.47 ×10⁻⁴ T

The energy density at the center of the loop is 0.36 J/m³

Calculating Magnetic field strength & Energy density

From the question, we are to find the magnetic field strength

The magnetic field strength of a loop can be calculated by using the formula,

[tex]B = \frac{\mu_{0} I}{2R}[/tex]

Where  B is the magnetic field strength

[tex]\mu_{0}[/tex] is the permeability of free space [tex](\mu_{0}=4\pi \times 10^{-7} \ N/A^{2})[/tex]

[tex]I[/tex] is the current

and R is the radius

From the give information,

[tex]R = 75 \ mm= 75 \times 10^{-3} \ m[/tex]

and [tex]I = 113 \ A[/tex]

Putting the parameters into the formula, we get

[tex]B = \frac{4\pi \times 10^{-7} \times 113}{2 \times 75 \times 10^{-3} }[/tex]

[tex]B = 9.47 \times 10^{-4} \ T[/tex]

Hence, the magnetic field strength is 9.47 ×10⁻⁴ T

Now, for the energy density

Energy density can be calculated by using the formula,

[tex]u_{B} = \frac{B^{2} }{2\mu_{0} }[/tex]

Where [tex]u_{B}[/tex] is the energy density

Then,

[tex]u_{B}= \frac{(9.47\times 10^{-4} )^{2} }{2 \times 4\pi \times 10^{-7} }[/tex]

[tex]u_{B} = 0.36 \ J/m^{3}[/tex]

Hence, the energy density at the center of the loop is 0.36 J/m³

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The dwarf planet Pluto was discovered in 1930. Since that time, which jovian planet has completed a full revolution around the Sun?

Answers

Answer:

Explanation:

Uranus takes about 84 years to circle the sun.

Pluto's existance has been known for 92 years. Uranius has completed 1 complete revolution. The numbers are reasonably close together and so Uranius is the answer.

At a distance of 10 km from a radio transmitter, the amplitude of the electric field is 0. 20 volts/meter. What is the total power emitted by the radio transmitter?.

Answers

a. 10 kW b. 67 kW c. 140 kW d. 245 kW e. 21 kW

How are liquids and gases alike?

Answers

Answer:

The particles of both states are free flowing and they fill the container that they are in.

Explanation:

Liquids and gases do not have a set formation like a solid does. Liquids have more range of motion and will fill a container (such as how water will fill a glass). Gas has an even wider range of motion and move around very quickly.

A piece of zinc was lying outside and had a temperature of 26 degrees C. Later that day the sun came out and the temperature increased to 36 degrees C. If the piece of zinc is only 0. 15 kg, find the thermal energy. NOTE: Zinc has a specific heat of 380 J/kg degrees C). I need The Equation used and The Answer

Answers

Answer: 570 J

Explanation:

The amount of heat gained by the piece of zinc can be calulctaed using   ∆Q = mc∆T

=> ∆T = 36-26 = 10°C

m = 0.15 kg, s = 380J/kg/°C

=> ∆Q = 0.15 x 380 x 10

= 570J

Sodium-24 has a half-life of 15 hours. after 45 hours, how much sodium-24 will remain of an original 50.0-g sample? 5.56 g 6.25 g 16.7 g 25.0 g

Answers

Answer:

6.25  gm

Explanation:

1 /2  * 1/2 * 1/2 = 1/8th of the original

  50/8 = 6.25 gm

Answer:

its b

Explanation:

trust

THE RESPIRATORY SYSTEM - 3/3

11. The epiglottis closes when someone swallows to protect the lungs?

True or False

12. Drinking too much alcohol can cause snoring due to a relaxation in which part of the respiratory system?

uvula
epiglottis
pharynx
larynx

13. What is analogous to the structure of the respiratory system?

an upside-down deciduous tree
the solar system
the Mississippi River, delta, and the Gulf of Mexico
the archipelago of islands that make up Hawaii

14. Which type of disease is characterized by a progressive obstruction of exhalation mechanisms?

pneumonia
COPD
asthma
dyspnea

Answers

Answer:

11. true

12.

13. an upside down tree

14. copd

Throughout the reflection, make sure you have a copy of the student guide and your data tables. use the drop-down menus to complete the statements. in part i, the independent variable was . in part ii, the independent variable changed to . the dependent variable for both part i and part ii was .

Answers

Mass, Speed and Kinetic Energy.The independent variable changed to . the dependent variable for both part i and part ii was .

What is kinetic energy?

We can solve this by analysing the choices and the relations between variables.

It's worth noting that Kinetic Energy is proportional to both speed and mass. Actually, Kinetic Energy is exactly proportional to those factors, meaning that the more mass or speed, the higher the Kinetic Energy.

Having said that, Part I and Part II must have speed and mass as indendepent variable, because Kinetic Energy depends on them.

Then, in the third question, the answer is Kinetic Energy becase that's the dependent variable in both cases Part I and Part II.

Just to remember, the Kinetic Energy is defined as

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

Where you can notice the relation between mass, speed and kinetic energy.

Therefore, the right answer are Mass (Part I), Speed (Part II) and Kinetic Energy (Part III).

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Answer

the right answer are Mass (Part I), Speed (Part II) and Kinetic Energy (Part III).

Explanation:

(15 points) How many circles do i draw, like in what order

Answers

Answer:

U have to draw 3 circles

take a specific point and draw 3 circles of different size from the same point.

A geyser has a rating 2 kVA, 240 V. (a) what is the electrical energy consumed by it in (i) kWh and (ii) joule if it is used for 90 mins. (b) if the cost of electricity is rupees 4.50 per commercial unit find the cost.​

Answers

See below~

Explanation:

Given, P = 2 kVA = 2 kW,

t = 90 min = 1.5 h

(a) (i) Electrical Energy Consumed = power * time

= 2 kW x 1.5 h

= 3 kWh ( or 3 commercial unit)

(ii) Since 1 kW = 3.6 x 10^6 J

therefore,

Electrical energy consumed = 3 x 3.6 x 10^6 J

= 1.08 x 10^7 J

(b) Cost of electricity

= energy consumed in kWh x cost per kWh

= 3 x Rs 4.50 = Rs. 13.50

Hope it helps you!!

ball and bowl system ​

Answers

Answer:

Once the ball is place at the position A and then released, It will accelerate towards the mean position under its weight. At the mean piston it again maximum velocity and momentum so its moves up-to the position B due to inertia. At B it has zero velocity so zero kinetic energy but maximum potential energy.

Again from point B it will move towards O under the restoring Force having maximum velocity at O but does not stop at O due to inertia and will go up to A. In this way the ball will continue to oscillate between the points A and B about the point O, it has simple harmonic motion.

Explanation:

Immediately after it has started to rain, dust particles and oil residue float on the water and ____________ the traction of tires.

Answers

When it rains, dust particles and oil residues float on the water and this reduces the traction of tires.

What is traction?

This concept refers to a force between the tires and road that causes the movement of the wheels or vehicle is slower.

What happens with traction when it rains?

It is well-known more accidents occur when it rains, which is caused by cars slidding on the road. This is because when it rains traction or the grip of the wheel drastically reduces.

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A 3.00 kg bucket of water is raised with an upward acceleration of 2.20 m/s2 from a well by means of an attached rope. What is the tension in the rope

Answers

Answer:

F = M a

M = 3 kg

a = 2.2 m/s^2

T = tension in rope

T - M g = M a             Where T - M g is the net force on the bucket

T = M (g + a) = 3 kg * (9/80 + 2.20) m/s^2  = 36 Newtons

One wave on a string is moving toward the right and another is moving toward the left. When they meet in the middle, half of the cycle of the wave from the right overlaps with half of the cycle of the wave from the left. The result is that the string gets flat when the two waves meet. What happened? What will happen after the waves meet?​

Answers

When the wave meets the condition of interference occurs. The interference effect is the sum of the individual wave amplitudes at each site where more than one wave is present.

What is the interference of waves?

The result of two or more wave trains flowing in opposite directions on a crossing or coinciding pathways. This phenomenon is known as the interference of waves.

When two wave pulses are traveling along a string toward each other. They meet and the phenomenon is occur known as interference.

Hence the phenomenon of interference occurs when two wave pulses are traveling along a string toward each other.

One wave on a string is moving toward the right and another is moving toward the left. When they meet in the middle, half of the cycle of the wave from the right overlaps with half of the cycle of the wave from the left.

The result is that the string gets flat when the two waves meet the condition of the interference of wave occurs.

Hence when the wave meets the condition of interference occurs.

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i is trying to explain why the endoplasmic reticulum is important. Which of these analogies for the e
ulum would best help her with this explanation?
The endoplasmic reticulum is like a set of raw materials used to build bricks.
The endoplasmic reticulum is like a truck that transports newly made bricks out of the factory.
The endoplasmic reticulum is like a factory that helps produce, process, and transport bricks.
The endoplasmic reticulum is like a construction worker that builds a structure with bricks.

Answers

Answer:

i will say that the endoplasmic reticulum is a complex organelle that plays a pivotal role in protein and lipid synthesis, calcium storage and stress response

An incompressible ideal fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s. What is the fluid speed at a location where the diameter has narrowed to 5.0 cm

Answers

Answer:

A V = A X / t         where X / t    is speed of fluid

A V = area * velocity (rate of fluid flowing)

A1 V1 = A2 V2        form of equation of continuity

pi (D1 / 2)^2 V1 = pi (D2 / 2)^2 V2

V2 = (D1 / D2)^2 * V1 = (8 / 5)^2 * 1.28 m/s = 3.28 km/s

Electric Charge
Directions: Identify each of the following as a conductor or an insulator by putting a “c” or an “i” in the blank.

Answers

The materials that are conductors are Metal doorknob, Silver, Gold, Copper, Metal coat hanger, Paper clip, while insulators are Carpet, Wood, Rubber, Bulletin board, Clothing, Plastic.

What are electric conductors?

Conductors are materials that allow electric current to pass through them.

What are Insulators?

Insulators are materials that do not allow electric current to pass through them.

Examples of conductorsMetal doorknobSilver GoldCopperMetal coat hangerPaper clipExamples of insulatorsCarpet WoodRubberBulletin boardClothingPlastic

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Blowing up a balloon and letting it go is an example of newton’s.

Answers

Answer:

Third Law Of Motion

Explanation:

When we let go of the end, the air rushes out and pushes against the air around the balloon to move it in the opposite direction. Newton describes this effect in his third law.

The blowing up of a balloon and letting it go is an example of newton's third law of motion or action-reaction law.

What is newton's third law?

According to Newton's third law, when two bodies come into contact, they exert forces on one another that really are equal in strength and pointed in the opposite direction. The third law is frequently referred to as the law of actions and consequences.

This law applies to bodies in constant or rapid motion and is crucial for understanding problems of static balance, where all forces are in balance. It doesn't only use bookkeeping techniques; the forces it portrays are actual forces. A book laying on a table, for instance, exerts a downwards force equal to its weight on the table. The third law states that the book is subjected to an equal and opposing force from the table.

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The following are secondary sources of energy except a.coal b crude oil c nuclear d wind e wood

Answers

Answer:

d) Wind

Explanation:

Secondary energy is energy produced by converting energy available in its natural state in the environment. Hence Wind is a primary source not a secondary source

A 100kg man wants to burn off 500 kilocalories by running up ar elliptical. How far will he have to climb?

Answers

The distance the  100kg man must climb to burn off 500 kilocalories by running up an elliptical path is 2,136.1 m.

Potential energy of the man

The potential energy of the man from a known height can be used to deternine the distance the man would have to climb.

P.E = mgh

Where;

P.E is potential energy, given as  500 kilocalories,

1 kcal = 4186.8 joules

500 kcal = 2,093,400 J

Distance traveled by the man

h = P.E/mg

h = (2,093,400) / (100 x 9.8)

h = 2,136.1 m

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A ball on the end of a string is revolving at a uniform rate in a vertical circle of radius 97.7 cm. If its speed is 3.74 m/s, and its mass is 0.182 kg, calculate the tension (in newtons) in the string when the ball is at the bottom of the path.

Answers

The tension in the string when the ball is at the bottom of the path is 2.61 Newtons.

Tension

A tension is simply referred to as a force along the length of a flexible medium such as strings, cable, ropes etc.

Tension in a string revolving can be determined using the expression;

T = mv² / r

Where m is mass of object, v is velocity and r is radius ( length of string )

Given the data in the question;

Mass of ball m = 0.182kgRadius ( length of string ) r = 97.7cm = 0.977mVelocity = 3.74m/sTension in the string; T = ?

To determine tension in the string, we substitute our given values into the expression above.

T = mv² / r

T = (0.182kg × (3.74m/s)²) / 0.977m

T = (0.182kg × 13.9876m²/s²) / 0.977m

T = (2.5457432kgm²/s²) / 0.977m

T = 2.61kgm/s²

T = 2.61N

Therefore, the tension in the string when the ball is at the bottom of the path is 2.61 Newtons.

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Explain what it means when someone says energy can not be created or destroyed.

Answers

Answer:

Energy is always reused. Energy cannot be created or destroyed because it always turns into some other type of energy.

Explanation:

Suppose the sphere is positively charged. Is it attracted to, repelled by, or not affected by the magnet?.

Answers

When a positively charged sphere is brought near the north pole of a magnet, the positively charged sphere will be attracted to the magnet.

Positively charged object

When a positively charged object is brought near the north pole of a magnet, the positively charged object will be attracted to the magnet beacuse of polarity.

Positively charged metals have the tendency to show the polarization of charges.

Thus, when a positively charged sphere is brought near the north pole of a magnet, the positively charged sphere will be attracted to the magnet. Also, if the south pole is brought near the sphere, the positively charged sphere will repel the magnet.

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Why is the phase of the moon important for a solar eclipse to occur?.

Answers

when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface.

A stone is dropped from the top of a tall building. As it falls in the absence of air resistance, what happens to the de broglie wavelength of the stone?.

Answers

Explanation:

lambda = h/mv

hieght is decreasing

velocity is increasing

therfore the wavelength is decreasing.

Part B For this activity, you'll analyze the motion of the marked spot on the skateboarder's leg. For each dropdown labeled “cm” or “model cm,” change the option to “Legs.” In each frame containing a plot or table, you can use the buttons at the top of the frame to choose whether it shows a plot (graph) or a table. If it is showing a plot, you can select the y-axis label to choose which measurement to plot. See how to change the graph and table options. Now look at the graphs for the horizontal and vertical displacement of the legs against time. How do the two graphs, x vs. t and y vs. t appear? What can you say about the displacement of the snowboarder?

Answers

Answer:

Explanation:

c. By using the Select Data button and the Select Data Source optionExplanation:A scatter plot is a plot which is used to plot the points of the data on the horizontal and the vertical axis also it depicts how one variable is affected by the another. After preparing the scatter plot to enter the data in the scatter plot we need to use the data button and then data source option so that the data could be entered in the scatter plothence, option c is correct

The two graphs, x vs. t and y vs. t that are displacement vs time  appear by using the Select Data button and the Select Data Source option.

What is Displacement?

Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude.

A scatter plot is a plot which is used to plot the points of the data on the horizontal and the vertical axis also it depicts how one variable displacement is affected by the another. After preparing the scatter plot to enter the data in the scatter plot we need to use the data button and then data source option so that the data could be entered in the scatter plot.

The two graphs, x vs. t and y vs. t that are displacement vs time  appear by using the Select Data button and the Select Data Source option.

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HELP PLS HELP. WILL GIVE BRAINLIEST.

You are trying to roll a toy car up a hill and stop at the top without rolling down the other side of the hill. If the car has a mass of 0.5 kg and the hill is 0.07 meters high, how much kinetic energy should you use on the car to move it to the exact top?

Answers

Let's see

According to law of conservation of linear momentum

PE=KEKE=mghKE=0.5(9.8)(0.07)KE=4.9(0.07)KE=0.343JKE=343mJ

Answer:

0.35 J

Explanation:

This problem requires the Law of Conservation of Energy.

⇒ Potential energy = Kinetic Energy

⇒ mgh = 1/2mv²

⇒ 0.5 x 10 x 0.07 = KE

⇒ KE = 5 x 0.07

⇒ KE = 0.35 J

If you want to find stars that are just being born, where are the best places to search?.

Answers

Answer:

In giant molecular clouds

Explanation:

To find the stars that are just being born, one of the best places to search is giant molecular clouds.

What is a Star?

An astronomical object known as a star is made up of a luminous plasma spheroid that is held together by gravity. The Sun is the star that is nearest to Earth. Other stars are also visible at night with the eye, but because of their great distances from Earth, they appear as stationary points of light.

Many of the brightest stars have names, and the most notable stars have been organized into constellations and asterisms. Star catalogs have been put out by astronomers that list the known stars and provide standardized stellar labels. An estimated 10²²–10²⁴ stars are alive in the observable cosmos.

These stars are all situated within the Milky Way galaxy, with only 4,000 of them being visible with the unaided eye.

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A circular loop (10 turns) with a radius of 29 cm is in a magnetic field that
oscillates uniformly between 0.95 T and 0.45 T with a period of 1.00 s.
a. How much time is required for the field to change from 0.95 T to 0.45 T?
b. What is the cross-sectional area of one turn of the loop?
c. Assuming that the loop is perpendicular to the magnetic field, what is the
induced emf in the loop?

Answers

Answer is c ! I believe have fun

if 36 columb of charge pass through a wire in 45 what is it carrying ​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:Electric \: \: current = \dfrac{ Charge }{time}[/tex]

[tex]\qquad \tt \dashrightarrow \:E= \dfrac{36 }{45}[/tex]

[tex]\qquad \tt \dashrightarrow \:E= 0.8 \: \: amp[/tex]

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21. We have all decided_____the examination, Cohen mailed a letter on Monday morning. The letter has to travel 12 1/2 miles to reach it's destination. The letter traveled 2 1/4 miles on Monday and traveled an additional 7 1/12 miles on Tuesday. How far did the letter travel on Wednesday to reach it's destination? how did Europe colonize India???? uring the 1960s, psychology saw a shift away from the approaches of Freud and Skinner. As a result which perspective was introduced I only need 6 and 7. 25 points, please help f(x)=2x2+3x1 and g(x)=3x+4. Find g(f(x)). Aberrant salience means that ________ Group of answer choices enlarged brain ventricles cause people with schizophrenia to be unable to concentrate. a large amount of communication deviance in the family can cause a person with schizophrenia to relapse. dysregulated dopamine can cause people with schizophrenia to pay too much attention to stimuli that are not actually important. people with schizophrenia often show unusual motor behaviors. Here are your options:- Estamos nerviosos- Yo estoy agotado.- Ellos estnfurioso conmigo.- l est muy ocupado.- Est muy contento.- Estoy irritado.- Ests sorprendida.- Estn muy estresados.Pleas answer them all. i just need someone to look over my essay (it's not very long, only like 200 words) and make sure i can turn it in Why do birds fly to live? The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box. An arrangement in which local businesses team up with schools, hiring students to perform jobs that use knowledge and skills taught in their school classes is called a _____. a. vocational education program b. cooperative program c. internship d. service learning People are sometimes likely to help others, and other times are less likely. Explain the factors involved in the concept of helping others by discussing altruism, the bystander effect, the social exchange theory, the reciprocity norm, and the social responsibility norm What behavioral adaptation helps zebras protect themselves against predators?a group of zebras in a plain Having a tail Having thick fur Looking like each other Traveling in herds How did Jack and Jill save their mother?- They fought with Prince Charmant and the guards.- They both kissed their mother to wake her-with the magic from the Bears-by tricking Prince Charmant so he would fall into a holeup. Angie, brad, and carlos are discussing a physics problem in which two identical bullets are fired with equal speeds at equal-mass wood and steel blocks resting on a frictionless table. One bullet bounces off the steel block while the second becomes embedded in the wood block. All the masses and speeds are the same, says angie, so i think the blocks will have equal speeds after the collisions. But what about momentum? asks brad. The bullet hitting the wood block transfers all its momentum and energy to the block, so the wood block should end up going faster than the steel block. I think the bounce is an important factor, replies carlos. The steel block will be faster because the bullet bounces off it and goes back the other direction. Salaries for Actuaries Nationwide graduates entering the actuarial field earn $40,000. A college placement officer feels that this number is too low. She surveys 36 graduates entering the actuarial field and finds the average salary to be $41,000. The population standard deviation is $3000. Can her claim be supported ata = 0. 05? A spacecraft flies within 500,000 km of each of these planets. Based on its mass, which planet would gravitationally attract the spacecraft the least? the sum of 2/5 and f is 1/2 L00K AND ANSWER PLS :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)