During the examination of a patient, the nurse notes that the patient has several small, flat macules on her posterior thorax. these macules are less than 1 cm wide. another name for these macules is?

Answers

Answer 1

Another name for these small, flat macules on the posterior thorax, which are less than 1 cm wide, is "petechiae."

Petechiae are small, flat macules that appear on the skin as a result of bleeding under the surface. They are typically less than 1 cm in width and can have various colors, including red, purple, or brown. Petechiae occur due to the rupture of small blood vessels called capillaries, allowing blood to leak into the surrounding tissues.

These macules are commonly observed in the posterior thorax area and can also appear in other parts of the body. They are often caused by conditions that affect blood clotting or by trauma to the skin. Examples of conditions that can lead to petechiae include platelet disorders, such as thrombocytopenia or idiopathic thrombocytopenic purpura (ITP), vasculitis, sepsis, and certain viral infections.

The presence of petechiae should be assessed by healthcare professionals, as it can be an indication of an underlying medical condition that requires further evaluation and treatment. A thorough medical history, physical examination, and appropriate diagnostic tests can help determine the cause of the petechiae and guide appropriate management.

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Related Questions

a 32kg object has a momentum of 480kg m/s northward. what is the objects velocity ?

Answers

Answer:

velocity = 15m/s

Explanation:

momentum of the object = 480kg/ms

nass of object = 32 kg

velocity of object = ?

momentum = velocity × mass

velocity = momentum / velocity

= 480kg/ms/32kg

= 15m/s

A projectile is launched at 30° above ground level. what other angle at the same speed will result in the same range?

Answers

Answer:

\(60^{\circ}\) (assuming that air resistance is negligible.)

Explanation:

Let \(g\) denote the gravitational field strength. If air resistance on the projectile is negligible:

Vertical acceleration of the projectile will be constantly \((-g)\). In other words, \(a_{y} = (-g)\).Horizontal velocity of the projectile will be constant.

Let \(\theta\) denote the angle at which the projectile is launched. Let \(v\) denote the initial velocity of the projectile:

Initial vertical velocity of the projectile will be \(u_{y} = v\, \sin(\theta)\).Initial horizontal velocity of the projectile will be \(u_{x} = v\, \cos(\theta)\).

Also because air resistance is negligible, vertical velocity of the projectile will be \(v_{y} = (-u_{y}) = (-v\, \sin(\theta))\) right before the projectile lands. In other words, while the projectile was in the air, the change in vertical velocity would be \((-v\, \sin(\theta)) - (v\, \sin(\theta)) = (-2\, v\, \sin(\theta))\).

Divide the change in velocity by acceleration to find the duration of the flight:

\(\begin{aligned}t &= \frac{v_{y} - u_{y}}{a_{y}} \\ &= \frac{(-v\, \sin(\theta)) - (v\, \sin(\theta))}{(-g)} \\ &= \frac{(-2\, v\, \sin(\theta))}{(-g)} \\ &= \frac{2\, v\, \sin(\theta)}{g}\end{aligned}\).

Range measures the horizontal distance that this projectile has travelled. At a constant horizontal velocity of \(u_{x} = v\, \cos(\theta)\), this projectile would travel a distance of:

\(\begin{aligned}(\text{range}) &= u_{x}\, t \\ &= (v\, \cos(\theta))\left(\frac{2\, v\, \sin(\theta)}{g}\right) \\ &= \frac{2\, v^{2}\, \sin(\theta)\, \cos(\theta)}{g}\end{aligned}\).

Apply the double angle identity \(2\, \sin(\theta) \, \cos(\theta) = \sin(2\, \theta)\) to further simplify this expression:

\(\begin{aligned}(\text{range}) &= \cdots \\ &= \frac{2\, v^{2}\, \sin(\theta)\, \cos(\theta)}{g} \\ &= \frac{v^{2}\, (2\, \sin(\theta)\, \cos(\theta))}{g} \\ &= \frac{v^{2}\, \sin(2\, \theta)}{g}\end{aligned}\).

Note that in this question, \(v^{2}\) and \(g\) are both constant. Hence, for another angle of elevation \(\hat{\theta}\), the range of the projectile will be the same as long as \(\sin(2\, \hat{\theta}) = \sin(2\, \theta)\).

\(\sin(2\, \hat{\theta}) = \sin(2\, (30^{\circ}))\).

Since \(0^{\circ} \le \hat{\theta} \le 90^{\circ}\), \(0^{\circ} \le 2\, \hat{\theta} \le 180^{\circ}\):

\(\sin(2\, \hat{\theta}) = \sin(180^{\circ} - 2\, \hat{\theta}) = \sin(2\, (90^{\circ} - \hat{\theta}))\).

Therefore, \(\hat{\theta} = 90^{\circ} - \theta = 90^{\circ} - 30^{\circ} = 60^{\circ}\) will ensure that \(\sin(2\, \hat{\theta}) = \sin(2\, \theta)\). Launching the projectile at \(60^{\circ}\) will reach the same range.

\(\begin{aligned}(\text{new range}) &= \frac{v^{2}\, \sin(2\, (60^{\circ}))}{g} \\ &= \frac{v^{2}\, \sin(2\, (30^{\circ}))}{g} = (\text{original range})\end{aligned}\).

What unit is used to measure the amount of resistance to the flow of current in a circuit?.

Answers

Answer:

Ohms

Explanation:

Ω this is the symbol

The amount of matter an object contains is referred to as its



a. weight



b. mass

Answers

Answer:

mass, but that is a classical definition...

mass is the one being asked for

Two solid spheres, both of radius 5 cm, carry identical total charges of 2 μC. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. How do the magnitudes of the electric fields they separately create at radius 4 cm compare? a. EA=EB>0
b. EA>EB=0
c. EB>EA=0
d. 0 e. EA>EB>0

Answers

Two solid spheres with identical charge imbalance of 2 C have radii of 5 cm each. A is an excellent conductor, or sphere A. As an insulator, sphere B's charge is dispersed evenly throughout its volume.

A charge is what?

the sum of money required to purchase something, particularly a service: levy/impose/experience a fee You will be charged if you don't cancel the reservation within the allotted time. the cost of sb/sth Do kids pay anything or are they admitted free minimal or modest charge For this service, we charge a small fee.

What does charge mean in physics and chemistry?

August 8, 2017 update. Charge often refers to electric charge in chemistry and physics, which is a conserved feature of some subatomic particles that governs their electromagnetic interaction. An electromagnetic field exerts a force on matter as a result of the physical attribute of charge.

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You are pushing a book across a desk with a constant velocity. What are the forces acting on the book and in what direction? Are the y-forces equal in magnitude, why or why not? Are the x-forces equal in magnitude, why or why not? Explain using Newton’s Second Law. If you push on the book, according to Newton’s Third Law of Motion, what is the equal and reactive force?

Answers

When you are pushing a book across a desk with a constant velocity, there are two forces acting on the book: friction and the force of your push.

The force of friction acts in the opposite direction to the motion of the book and opposes the motion of the book. The force of friction is caused by the interaction between the bottom surface of the book and the surface of the desk.

The force of your push acts in the same direction as the motion of the book and causes the book to move.

The y-forces on the book are not equal in magnitude, as there is only one force acting in the y-direction, which is the force of friction. The x-forces are also not equal in magnitude, as there is one force acting in the x-direction, which is the force of your push.

According to Newton's Second Law, the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, since the book is moving with a constant velocity, the forces acting on the book are balanced, and the net force on the book is zero.

According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. So, when you push on the book, the equal and opposite force is the force exerted by the book on your hand.

Answer:

The book is being pushed from the side meaning there are horizontal forces at work. The first is an applied force, the second is a force of friction against the motion. Since the book is moving at a constant velocity, the book is not accelerating. This means that the forces must be balanced.

Have a Nice Day :  ) .

The plunger of a sealed hypodermic needle containing air is slowly pulled out. Does the air pressure inside the syringe increase, decrease or stay constant. Explain

Answers

As the plunger of a sealed hypodermic needle is slowly pulled out, the air pressure inside the syringe decreases. This is because the volume of the syringe increases.

According to Boyle's Law, the pressure and volume of a gas are inversely proportional at a constant temperature. When the plunger is pulled out, the volume of the syringe increases while the amount of air inside remains constant. As the volume increases, the same amount of air molecules now occupy a larger space, resulting in a decrease in pressure. In other words, the pressure decreases because the gas molecules have more room to move around. Therefore, pulling the plunger of a sealed hypodermic needle slowly out causes a decrease in air pressure inside the syringe.

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Assertion (A):
5 kilometer can be written as 5 km.
Reason(R):
The symbols of unit should not be written in plural form.
a) Both A and R are true, and R is correct explanation of the assertion.
b) Both A and R are true, but R is not the correct explanation of the assertion.
c) A is true, but R is false.
d) A is false, but R is true

Answers

Both A and R are true, and R is the correct explanation of the assertion as the symbols of the unit should not be written in plural form. Therefore, option A is correct.

A is true because it is a standard convention to write units in their singular form when representing measurements. For example, a kilometer is abbreviated as km.

R is the correct explanation because the symbols of units are written in their singular form to maintain consistency and avoid confusion. Pluralizing unit symbols could lead to misunderstanding when interpreting measurements.

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What is the speed that the Earth orbits the Sun?

Answers

Answer:

30 Kilometers per second

HELP PLEASE AND HURRRRRY
How far a projectile moved horizontally from its starting point is its...
A. trajectory
B. Elipse
C. Range
D. Projectile

Answers

Answer:

the path the object follows is called its trajectory so A. trajectory

Explain one way organisms with similar niches reduce competition when they are found in the same ecosystem? Give one example.

Answers

One way organisms with similar niches reduce competition when they are found in the same ecosystem is by resource partitioning.

One example of resource partitioning is when two species of birds foraging together feed on different resources; one eats insects on tree trunks while the other eats insects in the outer branches.

What is resource partitioning?

Resource partitioning, which helps prevent rivalry in an ecological niche, is the division of scarce resources among species.

Two similar species employ mostly non-overlapping resources as a result of this type of evolution, and as a result, they occupy different niches. Because there is less direct rivalry between the species as a result of this resource partitioning, the species can coexist.

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please help!!! 50 POINTS
1) The diagram below models the energy involved in a reaction that changes methane gas and oxygen into carbon dioxide and water.

The graph shows a certain level of energy of reactants C H2 + 2 O2, which increases on the breaking of bonds as the atoms are separated. The energy is then consumed when the making of bonds decreases the energy of products, C O2 + 2 H2 O, to a level much lower than the energy of reactants. The energy change of negative delta H depicts the exothermic reaction.

Which observations about the energy released in making the bonds are correct?
a) It is greater than the energy absorbed in breaking the bonds. The excess is converted to chemical energy.
b) It is greater than the energy absorbed in breaking the bonds. The excess is converted to thermal energy.
c) It is less than the energy absorbed in breaking the bonds. The excess is converted to thermal energy.
d) It is less than the energy absorbed in breaking the bonds. The excess is converted to chemical energy.

2) Carbon dioxide is an example of a molecule where the component atoms of carbon and oxygen are held together by chemical bonds. Which statement correctly describes the reason for these chemical bonds?
a) The nuclei and electrons of the atoms are attracted to each other.
b) The strong nuclear energy bonds the atoms together.
c) The combination of chemical energy stored in each atom makes the bonds strong.
d) The structure of atoms increases their atomic energy, which creates the bonds.

3) When burning fuel for cooking, the pan and the food absorb energy and heat up. In this process, which form of energy is chemical energy converted into?(1 point)
a) thermal energy
b) atomic energy
c) mechanical energy
d) radiant energy

4) Which of the following statement/s about the energy involved in a chemical reaction is/are correct?
I. The energy stored in chemical bonds is kinetic energy.
II. The total energy is conserved during a chemical reaction.
III. Chemical energy can be converted to other forms of energy.
IV. Energy is needed to both break bonds and form new bonds.
a) III and IV only
b) II and III only
c) II, III, and IV only
d) I only

5) Burning coal results in several energy transformations to generate electricity. Which statement is correct about the chemical energy stored in chemical bonds between atoms when coal is burned?
a) It allows the bonds to form and then break.
b) It helps transform kinetic energy to potential energy.
c) It increases the number of atoms.
d) It converts to thermal energy.

thank you!!

Answers

Answer:

Explanation:

1. It is greater than the energy absorbed in breaking the bonds. The excess is converted to thermal energy.

2. The nuclei and electrons of the atoms are attracted to each other

3. thermal energy

4. II and III only

5. It converts to thermal energy.

Diffraction of white light with a single slit produces bright lines of different colors.What is the color of the central image?

Answers

Answer:

white

Explanation:

This experiment causes lines of different colors because the constructive interference depends on the wavelength, so for different wavelength, the position of the maximum will be different.

Now, in diffraction fo a single slit we always have a central maximum (for all the colors)

This means that after the diffraction, we will have that all the colors have a maximum in the center, which will produce white light again, then the color of the central image is white

A student with a body mass of 74.0 kilograms climbed several flights of stairs to a final height 7.0 meters from the bottom. A second
student, using a stopwatch, determined that the climb was completed in 13.0 seconds. The body mass, time, and vertical height
reached by the student is given in the table. (Estimate g as 10 m/s2)
How many watts of power were generated by the student during the climb?

Answers

Answer:398.5 watts

Explanation:

please help me out i'm so depressed and such a failure
how does the brightness of the lamp (L) vary if we dispalce the cursor (C) of the rheostat
a)Towards A
b) Towards B

please help me out i'm so depressed and such a failurehow does the brightness of the lamp (L) vary if

Answers

Answer:

ok so first ur not a failure and its okay don't be so hard on ur self

<3

Do some research and find out the acceleration due to gravity on the Moon and on each planet
listed in the table. For each site, calculate the gravitational force that would act on a 70-kilogram
person on the surface of each site. Use your calculations to complete the table. Remember to
use the same units in each calculation.
Planet or Moon
Venus
Earth
Earth's Moon
Mars
Jupiter
Acceleration due to gravity
Force experienced by 70 kg
person

Answers

The acceleration due to gravity varies according to the size of the planet.

What is the list of the acceleration due to gravity on the moon and on all the planets?

Here is a list of the acceleration due to gravity (g) on the Moon and on the planets in our Solar System:

Moon:

g = 1.62 m/s^2

Mercury:

g = 3.7 m/s^2

Venus:

g = 8.87 m/s^2

Earth:

g = 9.8 m/s^2

Mars:

g = 3.71 m/s^2

Jupiter:

g = 24.79 m/s^2

Saturn:

g = 10.44 m/s^2

Uranus:

g = 8.87 m/s^2

Neptune:

g = 11.15 m/s^2

It's worth noting that the acceleration due to gravity is affected by the mass and size of a celestial body. Larger and more massive objects have a stronger gravitational pull and therefore a higher acceleration due to gravity.

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If a 1,000-kg car is traveling at 20.0 m/s when it reaches the bottom of a circular hill of radius 8.00 m, what normal force does the road exert on the car at the bottom of the hill

Answers

Answer:

i don't know this one.

Explanation:

In the figure, a small particle of charge -1.9 × 10-6 C and mass m = 3.1 × 10-12 kg has speed v0 = 8.1 × 103 m/s as it enters a region of uniform magnetic field. The particle is initially traveling perpendicular to the magnetic field and is observed to travel in the semicircular path shown with radius R = 5.0 cm. Find the magnitude and direction of the magnetic field in the region.

Answers

Answer:  Therefore, the magnitude of the magnetic field is 5.24 × 10^-9 T and its direction is into the page.

Explanation:   The force on a charged particle moving through a magnetic field is given by the formula F = qvB, where F is the force, q is the charge, v is the velocity of the particle, and B is the magnetic field strength.

In this problem, the particle has a charge of -1.9 × 10^-6 C and is traveling with a velocity of 8.1 × 10^3 m/s. The force acting on the particle is perpendicular to both the velocity vector and the magnetic field vector. Therefore, the force acting on the particle is responsible for the circular motion of the particle, and the radius of the circle is related to the velocity, magnetic field, and the mass of the particle.

The radius of the circular path can be calculated using the formula R = mv/qB, where m is the mass of the particle, v is the velocity of the particle, q is the charge on the particle, and B is the magnetic field strength.

Plugging in the given values, we get:

R = (3.1 × 10^-12 kg) × (8.1 × 10^3 m/s) / (-1.9 × 10^-6 C × B)

Simplifying, we get:

R = - 13.11 m^2 / (C kg s B)

Rearranging the terms, we get:

B = - 13.11 m^2 / (C kg s R)

Plugging in the given values, we get:

B = - 13.11 m^2 / (C kg s × 0.05 m) = - 5.24 × 10^-9 T

The magnitude of the magnetic field is 5.24 × 10^-9 T.

The direction of the magnetic field can be found using the right-hand rule. If we point our right thumb in the direction of the velocity vector and our fingers in the direction of the magnetic field vector, then the direction of the force vector is perpendicular to both and can be found using our right hand. In this case, the force vector points upward, so the magnetic field must point into the page (i.e., in the negative z-direction).

Ace Batteries uses the Capital Asset Pricing Model to calculate the cost of equity capital. Which of the following event will REDUCE the company's WACC (weighted average cost of capital). a. An increase in the flotation costs associated with issuing new common stock. b. An increase in the market risk premium. c. A decrease in the company's beta d. An increase in flotation cost of issuing preferred stock.

Answers

WACC (Weighted Average Cost of Capital) is a calculation used to assess a company's cost of capital. It is computed by multiplying each source of capital (equity, debt, and preferred stock) by its relevant weight and then summing these up.

In this question, Ace Batteries is utilizing the CAPM (Capital Asset Pricing Model) to determine the cost of equity capital.Ace Batteries' WACC can be reduced if the company's beta decreases. The beta of a company is a measure of its market risk or volatility, and it is a component of the CAPM formula

As a result, a lower beta lowers the cost of equity capital, lowering the company's WACC. Consequently, option c: A decrease in the company's beta, will REDUCE Ace Batteries' WACC (weighted average cost of capital).

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A hypothesis is a(n) ______________
An independent variable is__________
A dependent variable is___________
To determine the independent variable, what question can you ask yourself?
To determine the dependent variable, what questions can you ask yourself?

Answers

Answer:

It is an educated guess

Explanation:

let me know if the bottom ones need to be answered too.

If you're driving one and a half miles per minute, slow down by 15 miles per hour, and then reduce your speed by one third, how fast are you going now?

a.90 miles per hour
b.60 miles per hour
c.50 miles per hour
d.75 miles per hour
e.45 miles per hour

Answers

After slowing down by 15 miles per hour and reducing the speed by one third, you are now going at 60 miles per hour.

What is the current speed after slowing down?

If you are initially driving at a rate of one and a half miles per minute, it means you are traveling at a speed of 90 miles per hour (since there are 60 minutes in an hour).

In the second step, you slow down by 15 miles per hour. This reduces your speed to 75 miles per hour.

Finally, you reduce your speed by one third, which means you need to subtract one third of 75 from 75. One third of 75 is 25, so subtracting 25 from 75 gives you a speed of 50 miles per hour.

Therefore, after slowing down by 15 miles per hour and then reducing your speed by one third, you are now traveling at a speed of 50 miles per hour.

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answer questions show work #3
3. Determine the value of ID and VDs for the DS following amplifier. 10 RD 10V 3KD Points 0.47μF 01 G= 0.47μF Hilt RG 1.5MO -1V N5486 VGSoff = -4V IDSS = 14mA

Answers

The given amplifier circuit is a common-source amplifier. The equivalent circuit diagram of the amplifier includes a MOSFET N5486 transistor. We can determine the drain current (ID) and drain-source voltage (VDS) using the following equations:

1. Voltage at the source terminal (VS) is calculated using Ohm's law: VS = IS x RS.2. The drain current (ID) can be calculated using the equation ID = IS (1 + GVin), where Vin is the input voltage, G is the voltage gain, and IS is the current flowing through RD.Let's calculate the values of ID and VDS:

Given:- IS = VDD / RD = 10V / 10Ω = 1A- Vin = -1V / (1.5 x 10^6Ω + 0.47μF) = -0.6666667μA (using voltage divider rule)- G = -RD / RS = -10Ω / 3kΩ = -0.003333 Calculating ID:ID = 1A (1 - 0.003333 x 0.6666667 x 10^6)≈ 0.997A = 997mACalculating VDS:VDS = VDD - IDRD= 10V - 997mA x 10Ω≈ 10V - 9.97V≈ 0.03VTherefore, the values of ID and VDS are approximately ID = 997mA and VDS ≈ 0.03V, respectively.

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Crate is being pushed a constant velocity. What forces are being used?

Answers

Since the crate is moving at constant velocity the net force on the crate is zero. Since the crate is moving we are referring to the coefficient of dynamic friction. R is the reaction and is equal to the weight of the block mg. The effort is now doubled so the forces on the block are not balance

The tendency to pull other objects toward it is called

Answers

Answer:

""gravity. the force that pulls on objects and causes acceleration if the objects are not balanced by an opposing force. speed. distance traveled per unit time. Newton's Second Law of Motion.""

Explanation:

Tessa uses a toy slingshot to launch a tennis ball across the park for her dog to fetch. For her first launch, she
uses 100 N of force. Her second launch uses 200 N of force, and her third launch uses 300 N. Which launch had
the greatest acceleration of the tennis ball?

Answers

Answer:

See the explanation below.

Explanation:

To solve this problem we must apply Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration and this force can be calculated by means of the following equation.

F = m*a

where:

F = force [N] (units of Newtons)

m = mass [kg]

a = acceleration [m/s²]

The mass of the tennis ball will always be the same therefore it will never change.

Now clearing a:

\(a=\frac{F}{m}\)

If the mass of the ball remains the same:

\(a = \frac{100}{m} ; a = \frac{200}{m};a =\frac{300}{m}\)

We see that for a force of 300 [N], the acceleration exerted on the ball must be greater. Therefore with the force of 300 [N] the greatest acceleration is achieved.

A box of tools rests in the back of a pickup truck. The truck accelerates to the north and the box remains at rest in the truck. The direction of the friction force on the box of tools is _____.

Answers

Answer:

The direction of friction force is toards north.

Explanation:

A tool box is at rest on the back of a track. The truck is accelerating towards north.

As the frame of reference is acceleratinf so it is a non inertial frame  of reference.

Thus, teh toolkit experineces a pseudo force towards the south direction.

According to the question, the toolbox is at rest so the fiction force is balances by teh psheudoforce, and thus teh friction force is acting toards north.

What could you have done to reduce those errors?

Answers

Wheres the picture, and this doesn’t make sense.

What distance would an object need to be located in front of a converging lens for
the image to be the same size as the object?
Closer than F
Between F and 2F
Beyond 2F
At 2F

Answers

Answer:

2*F

Explanation:

If we put an object of a given size exactly at a distance 2*F from the lens, the virtual image (the image generated by the lens) will be generated at a distance 2*F from the lens and the size will be equal to the size of the real object (but the image will be inverted)

Now let's do the math.

The relation between the distance of the object to the lens O, and the distance between the image and the lens I is:

1/O + 1/I = 1/F

solving for O, we get:

1/O = 1/F - 1/I = (I - F)/(F*I)

O = F*I/(I - F)

Such that the relation between the height of the original object, H and the height of the virtual image H' is:

H/H' =  -I/O

Replacing by O we get:

H/H' = -I/(F*I/(I - F))

If the sizes are equal, then H/H' = - 1  (remember that the image is inverted, thus the sign)

-1 = -I/(F*I/(I - F))

F*I/(I - F) = I

F*I = (I - F)*I

F = (I - F)

F + F = I = 2*F

The distance between the image and the lens is 2*F

O =  F*I/(I - F) = F*2*F/(2*F - F) =  2*F

The object is at a distance 2*F from the lens.

The density of a typical laboratory plasma is 1018 m-3. this value leads to plasma oscillations at:________

Answers

The density of a typical laboratory plasma is 1018 m-3, this value leads to plasma oscillations at 9 x 10⁹ Hz.

What is density?

The density of an object is defined as the measurement of how tightly a material is packed together.

It is also defined as the mass per unit volume and its unit is kilogram per meter cube.

Density = mass / volume

Oscillation of the plasma at the given density

f = 9(n)^0.5

where;

n is density = 10¹⁸

f = 9(10¹⁸)^0.5

f = 9(10⁹) Hz

f = 9 x 10⁹ Hz

Thus, if the density of a typical laboratory plasma is 1018 m-3, this value leads to plasma oscillations at 9 x 10⁹ Hz.

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Two parallel circular rings of radius R have their centres in the X axis separated by a distance L. If each ring carries a uniformly distributed charge Q,find the electric field at points along the X axis

Answers

Answer:

E" =  Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

Explanation:

The electric field due to a charged ring of radius R at a distance x from the center of the ring when the axis of the ring is located on the x - axis is

E = Qx/4πε₀[√(x² + R²)]³

Since the rings are separated by a distance L, the electric field at point x due to the second ring is E' = -Q(L - x)/4πε₀[√((L - x)² + R²)]³. It is negative since it points in the negative x - direction.

So, the resultant electric field at x is E" = E + E' = Qx/4πε₀[√(x² + R²)]³ + {-Q(L - x)/4πε₀[√((L - x)² + R²)]³}

E" =  Qx/4πε₀√[(x² + R²)]³ - Q(L - x)/4πε₀√[((L - x)² + R²)]³

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[((L - x)² + R²)]³})

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L² - 2Lx + x² + R²)]³})

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L - 2x)L + (x² + R²)]³})

E" =  Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

So, the electric field at points along the x axis is

E" =  Q/4πε₀√[(x² + R²)]³(x - {(L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

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