If the electric potential in a region is given by v(x)=7/x2 the x component of the electric field in that region is

Answers

Answer 1

Hi there!

Recall that:
[tex]\Delta V = -\int\limits^a_b {E \cdot } \, dx[/tex]

Given an electric field, the potential difference can be solved by using integration. Similarly:
[tex]E = -\frac{dV}{dx}[/tex]

We can differentiate the electric potential equation to solve for the electric field.

Use the power rule:
[tex]\frac{dy}{dx} x^n = nx^{n - 1}[/tex]

Differentiate the given equation.

[tex]-\frac{dV}{dx}\frac{7}{x^2} =- \frac{dV}{dx}7x^{-2} = -(-14x^{-3}) = \frac{14}{x^3}[/tex]

Or:
[tex]\boxed{E(x) = \frac{14}{x^3}}[/tex]

Answer 2

The component of the electric field in that region is E = 14/x³ if the electric potential in a region is given by v(x)=7/x2

What is an electric field?

An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.

We have:

The electric potential in a region is given by:

[tex]\rm V(x) = \frac{7}{x^2}[/tex]

We know the relation between potential difference and an electric field is given by:

[tex]\rm \triangle V = \int\limits^a_b {E.} \, dx[/tex]

If the electric field is given, then:

[tex]\rm E = -\frac{dV}{dx}[/tex]

[tex]\rm E = -\frac{d(7x^{-2} )}{dx}[/tex]

After differentiate:

[tex]\rm E = -(-14x^{-3})[/tex]  or

[tex]\rm E = \frac{14}{x^3}[/tex]

Thus, the component of the electric field in that region is E = 14/x³ if the electric potential in a region is given by v(x)=7/x2

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Related Questions

Don’t actually comment on this unless you are willing to help!

Describe how we receive colors from the various object observed in our world. Discuss how we receive colors from objects... https://brainly.com/question/27082331

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the link doesn’t work!

what direction can Earth's plates move

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The movement of the plates creates three types of tectonic boundaries: convergent, where plates move into one another; divergent, where plates move apart; and transform, where plates move sideways in relation to each other. They move at a rate of one to two inches (three to five centimeters) per year.

2. Describe asteroids and their orbits in the solar system.

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Answer:

Asteroids, often known as minor planets, are stony, airless leftovers of our solar system's early development about 4.6 billion years ago.

The majority of this ancient space junk may be found in the main asteroid belt, orbiting the Sun between Mars and Jupiter. Asteroids range in size from Vesta, the largest at 329 miles (530 kilometers) in diameter, to asteroids as small as 33 feet (10 meters). The cumulative mass of all asteroids is less than that of the Earth's Moon.

If there were no external forces acting on the two pucks, their complex motion could be described as the combination of the uniform linear motion of the center of mass and a uniform circular motion of the pucks about the center of mass. Describe how well your results agree with this expectation, and explain any deviations that you observe from the predicted behavior

Answers

The absence of external forces will make the pucks move in the form of a uniform circular motion.

What is a circular motion?

It should be noted that a circular motion simply means the movement of an object along the circumference of the circle.

In this case, the absence of external forces will make the pucks move in the form of a uniform circular motion.

If the friction is absent, the pucks will continue to move on the same path due to the first law of Newton and the law of conversation of energy. In this case,the results will match the predictions until there's loss in energy.

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A physician is going to use high-frequency electromagnetic radiation to treat cancer in a patient. Which is a claim about this event?(1 point)

A wave model is most useful for describing the frequency of the radiation.


Using gamma rays is the best to treat cancer because they act like particles.

The radiation will destroy the cells by transferring energy to them.


All of the cancer cells in the targeted region will be destroyed by the radiation.

Answers

Answer:

The answer is B

Explanation:

This is the only statement that is opinionated, therefore it is the only claim.

Answer: A wave model is most useful for describing the frequency of the radiation

Explanation:

I just took the test

(a) before the submarines pass each other, sub b quickly turns around and speeds up to 12. 4 m/s. What is the change in frequency noticed by observers on sub b? (enter you answer to one decimal place. )

Answers

The change in frequency noticed by observers on sub b is : 2.66 Hz before the submarines pass each other.

Given data:

New speed of Sub b ( Vb ) = 12.4 m/s

F₁ = 1416.44 Hz

Frequency of sonar wave ( Fₐ ) = 1400 Hz

Speed of sound in water ( V ) = 1533 m/s

Speed of submarine A ( Va ) = 8.4 m/s

Determine the change in frequency observed on sub B

The change in frequency can be calculated using the formula below

F₁' = Fₐ ( V + Vb / V - Vₐ )

    = 1400 ( 1533 + 12.4 / 1533 - 8.4 )

    = 1400 ( 1545.4 / 1524.6 )

    = 1419.1 Hz

Final step : determine the change in frequency

ΔF = F₁' - F₁

    = 1419.1 - 1416.44

    = 2.66 Hz.

Hence we can conclude that The change in frequency noticed by observers on sub b is : 2.66 Hz.

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The frequency is the number of waves that travel through a particular place in one unit of time. The change in frequency noticed by observers on sub b is 2.66 Hz.

What is the frequency?

The frequency is the number of waves that travel through a particular place in one unit of time. It may also be described as the number of cycles or vibrations experienced by a body in periodic motion in one unit of time.

Given that the new speed of the sub B is 12.4 m//sec, while the frequency of the submarine is 1416.44 Hz. The frequency of the sonar wave of submarine A is 1400 Hz. Also, the speed of sound in water, V is 1533 m/sec, and the speed of submarine A is 8.4 m/s.

Now, the frequency of the sub B after the speed is increased will be equal to,

[tex]F_1' = F_a \times \dfrac{(V+V_b)}{(V-V_a)}[/tex]

      [tex]\rm = 1400 \times \dfrac{(1533+12.4)}{(1533-8.4)}\\\\=1400 \times \dfrac{1545.4}{1524.6}\\\\=1419.1\ Hz[/tex]

Further, the change in frequency noticed by observers on sub b,

[tex]\rm \triangle F = F_1'-F_1 = 1419.1-1416.44 = 2.66\ Hz[/tex]

Hence, the change in frequency noticed by observers on sub b is 2.66 Hz.

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When going 70 mph, it takes how many feet to stop, including reaction time

Answers

Answer:

Speed: 70 mph

Reaction Distance: 103 feet

Breaking Distance: 245 feet

Explanation:

a wind turbine is an example of what kind of device
a. a generator
b. a transformer
c. a motor
d. an electromagnet

Answers

Answer:

it’s an example of a generator.

Explanation:

Answer:

Generator

Explanation:

valid

What property of an object determines how much inertia it has.

Answers

Answer:

Inertia is that quantity which depends solely upon mass. The more mass, the more inertia. Momentum is another quantity in Physics which depends on both mass and speed.

Explanation:

Consider the following statements. A. Heat flows from an object in liquid state to an object in solid state; B. Heat flows from an object with higher thermal energy to one with lower thermal energy; C. Heat flows from an object at higher temperature to an object at lower temperature. Which statements are true? 1. A and B only 2. C only 3. None is true. 4. All are true. 5. A and C only 6. A only 7. B and C only 8. B only

Answers

The following statements regarding heat transfer are true:

Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperature

What is heat transfer?

Heat transfer is the movement of heat from one body to another due to difference in temperature between the bodies and its surroundings.

Heat transfer occurs in every body which is made up of atoms and molecules.

However, heat can only be transferred from regions of higher temperature to lower temperature.

Therefore, the following statements regarding heat transfer are true:

Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperature.

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Write an expression for the coefficient of kinetic friction between the block and the horizontal surface. Your answer should be in terms of x, vB, and g (the acceleration due to gravity)

Answers

An expression for the coefficient of kinetic friction between the block and the horizontal surface is given as μk = Ff/mg.

What is coefficient of kinetic friction?

The coefficient of kinetic friction is the force of frcition between a moving object and the horizontal surface.

The expression for the coefficient of kinetic friction between the block and the horizontal surface is given as;

Ff = μkFₙ

Ff = μkmg

μk = Ff/mg

where;

μk is the coefficient of kinetic frictionFf is the kinetic frictional forcem is mass of the blockg is acceleration due to gravity

Thus, an expression for the coefficient of kinetic friction between the block and the horizontal surface is given as μk = Ff/mg.

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5. A mass attached to a spring oscillates and completes 50 full cycles in 30 s. What is the time period and frequency of this system?

Please show all of your work.

Answers

frequency:

⇒ oscillation / time taken

⇒ 50 / 30

⇒ 5 / 3

⇒ 1.667

≈ 1.7 Hz

period:

⇒ 1 / frequency

⇒ 1 / 1.7                               ( when taken frequency as 5/3, period is 0.6 s )

⇒ 0.6 seconds

Oscillation=50Time=30s

Frequency:-

[tex]\\ \rm\rightarrowtail \nu=\dfrac{50}{30}=\dfrac{5}{3}=1.67Hz[/tex]

Time period::

[tex]\\ \rm\rightarrowtail \dfrac{1}{\nu}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{1.67}[/tex]

[tex]\\ \rm\rightarrowtail 0.7s[/tex]

The voltage across the secondary winding is 10,000 v, and the voltage across the primary winding is 25,000 v. if the primary winding has 200 coils, how many coils are in the secondary winding? 50 coils 80 coils 125 coils 500 coils

Answers

Answer: 80 coils

Explanation for 80 coils: voltage across the secondary winding is 10,000 V, and the voltage across the primary winding is 25,000 V. If the primary winding has 200 coils, how many coils are in the secondary winding...The voltage across the primary winding is 6000 V!

If you were standing on the edge of a thunderstorm as it begins to form, would the wind be blowing into the storm or out of it? why?​

Answers

out. when air moves, other air takes its place

what is the weight of an object (on earth) that has a mass of 4.5kg
weight=
mass=
gravity=
formula:
substitution:
answer:

Answers

Answer:

weight-44.1 kg- mass-4.5kg gravity-9.8 formula-(see explanation)

Explanation:

force/weight on earth is = mass x gravitational field strength

If the body temperature of a person is recorded as 37°C, what is the person’s body temperature in K? Round your answer to the nearest whole number.If the body temperature of a person is recorded as 37°C, what is the person’s body temperature in K? Round your answer to the nearest whole number.

Answers

K= 37°C+273.15
K= 310.15
Round to the nearest whole number
310K

If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (round your answer to the nearest second. ) correct answer9

Answers

The number of seconds that the dive will take if peregrine falcon dove at its maximum speed for half a mile is 9 seconds.

How to calculate the time?

From the complete information, it was stated that the peregrine falcon can reach speed of up to 200 miles per hour.

Therefore, the number of seconds that the dice would take for half a mile will be calculated thus:

1 hour = 200 miles

3600 seconds = 200 miles

1 second will be: = (200/3600) = 0.056 miles

Therefore, the time will be:

200miles / 1 hour = 0.x

x = 0.0025 hours

Therefore, 0.0025 hours will be:

= 0.0025 × 3600

= 9 seconds.

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Why is it more common to see a lunar eclipse than a solar eclipse?.

Answers

Answer:

Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse.

A lunar eclipse happens on the moon. Anybody on Earth's night side can see it.

A solar eclipse happens on Earth's surface. Only the people inside the small end of the moon's shadow can see it.

4. Point B on a wheel of radius 40 cm that is rotating at a constant 5. 0 revolutions

per second is located 0. 20 m from the axis of rotation. Pont A is just at the border

of the wheel. See the figure.

a) What is the angular velocity of the wheel in rad/s?

b) What point has a greater linear speed, A or B? Calculate both speeds and

compare the results.

c) What are the centripetal accelerations of points A and B due to the spin of the

wheel? Sketch the situation and represent the vectors linear velocity and

centripetal acceleration in points A and B. Assume the rotation of the wheel

to be clockwise.

Answers

Answer:

SD

Explanation:

Following a lecture on transverse and longitudinal waves, four students make venn diagrams to characterize these waves. which venn diagram is correct? a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string, created by a disturbance and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, all parts of the electromagnetic spectrum, vibrating string, medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and can travel through a vacuum. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, all parts of the electromagnetic spectrum and travel faster in a denser medium. the overlapping region has entries, created by a disturban

Answers

Venn diagram B is correct. A Venn diagram is a type of graph that uses circles to depict connections between objects or fixed groups of entities.

What Is a Venn Diagram and how does It Work?

A Venn diagram is a diagram that uses circles to depict relationships between objects or finite groups of objects. Circles that overlap share characteristics, whereas circles that do not overlap do not.

A Venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular.

The circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium.

The overlapping region has entries, created by a disturbance, has speed, and travels through solids.

Hence Venn diagram B is correct

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Two solenoids have the same cross-sectional area and length, but the first one has twice as many turns per unit length as the second. The ratio of the self-inductance of the second solenoid to that of the first is.

Answers

Answer:

2:1

Explanation:


the red lines on this
national weather
service weather map
connect areas of equal
air pressure. what do
meteorologists call
these lines?

a. isobars
b. cold fronts
c. air masses
d. isotherms

Answers

The circular lines you see on the chart are isobars, which join areas of the same barometric pressure.

A hockey puck of mass 150 g is sliding south along the ice and slows at a rate of 1.2m/s2. What is the net force acting on the puck?

Answers

Answer: another force on puck?

Force is a vector quantity characterized by the rate of change of momentum.

Mathematically, it is the product of mass and acceleration.

F = m × a

=> F = (150/1000) × (-1.2)

=> F = -0.18 kg m/s²

=> F = -0.18 N

Both Transverse and Longitudinal Waves transmit____and not_____

A power, work

B work, power

C energy, matter

D matter, energy​

Answers

Explanation:

How are animals similar? All animals are made of many cells. Most animals can move on their own. Like all living things, animals grow, change, reproduce, and respond to their environment.

When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. Sometimes these wave
interact to make nodes and antinodes. What are these kinds of waves called? (1 point)

A.) Superposition waves
B.) Frequency waves
C.) Electromagnet waves
D.) Standing Waves

Answers

When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. These waves are standing waves (Option D).

What are Standing Waves?

The Standing Waves are waves generated due to the vibrational frequency that produces reflected waves capable of interfering with the incident waves.

Standing Waves generates a pattern of waves that form a standing still, it is for that reason of the name.

The nodes and antinodes of the standing waves are found elsewhere in the medium where waves form.

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Answer:

Standing waves

Explanation:

help me with this plsssssssssssssss

Answers

Answer:

D

Explanation:

The digestive system does all of these functions

the stomach and small intestine breaks down foodthe small intestine absorbs nutrientsthe large intestine eliminates waste

all these components (and more) make up the digestive system.

if you are unsure, visit bbc bitesize for more information.

What resource is used to make fertilizers and other products such as toothpaste and insecticides?

Coal
Limestone
Phosphate
Silica

Answers

Answer:

Silica

Explanation:

The most commonly used abrasives are hydrated silica (softened silica), calcium carbonate (also known as chalk), and sodium bicarbonate (baking soda).

Uranus and neptune have methane clouds but jupiter and saturn do not. Which factor explains why?.

Answers

Answer:

Temperature on Jupiter and Saturn are too high for methane to condense.

Explanation:

However, methane can condense on Uranus and Neptune because they are farther from the sun and hence colder.

The speed of sound in a guitar string is 430 m/s. for the musical note b, the frequency of the string when plucked is 246.94 hz.

Answers

Based on the speed and frequency, the wavelength of sound in the guitar is 1.74 m

What is the relationship between speed, frequency and wavelength of sound?

The speed of sound in a medium is the distance in metres it covers per second.

The frequency of sound is the number of complete oscillations per second.

The wavelength of sound is the distance between adjacent identical parts of the sound.

The relationship between speed, frequency and wavelength of sound is given below:

wavelength = speed/frequency

The wavelength of sound in the guitar will be:

wavelength = 430/246.94

wavelength = 1.74 m

Therefore, the wavelength of sound in the guitar is 1.74 m

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Given that the radius of the moon is roughly one-quarter that of the earth, find the mass of the moon in terms of the mass of the earth

Answers

The mass of the moon is six times lower in terms of the mass of the earth because of the its lower size and shape.

What is the mass of the moon and earth?

The mass of the moon is 7.34767309 × 1022 kilograms while on the other hand, the mass of the earth is 5.97219 × 1024 kilograms. This difference is due to the lower radius of the moon as compared to earth.

So we can conclude that the mass of the moon is six times lower in terms of the mass of the earth because of the its lower size and shape.

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