Voltage across an air filled parallel-plate capacitor is measured to be 85.0 V. When a dielectric is inserted and completely fills the space between the plates, the voltage drops to 25.0 V. What is the dielectric constant of the inserted material?

Answers

Answer 1

The dielectric constant of the inserted material is approximately 2.72.

The capacitance of a parallel-plate capacitor can be calculated using the formula:

C = (ε₀ * A) / d

Where C is the capacitance, ε₀ is the permittivity of free space (8.85 × 10^(-12) F/m), A is the area of the plates, and d is the distance between the plates.

When the air-filled capacitor has a voltage of 85.0 V, and the dielectric-filled capacitor has a voltage of 25.0 V, the capacitance remains the same in both cases since the physical dimensions of the capacitor do not change.

Using the formula for capacitance, we can write:

C₁ = (ε₀ * A) / d₁ (for the air-filled capacitor)

C₂ = (εr * ε₀ * A) / d₂ (for the dielectric-filled capacitor)

Where C₁ and C₂ are the capacitances in the two cases, εr is the dielectric constant of the inserted material, and d₁ and d₂ are the distances between the plates in the air-filled and dielectric-filled capacitors, respectively.

Since the capacitance remains the same, we can equate the two equations:

(ε₀ * A) / d₁ = (εr * ε₀ * A) / d₂

Simplifying the equation, we find:

εr = (d₁ / d₂)

Substituting the given values, we have:

εr = (85.0 V / 25.0 V) ≈ 2.72

Hence, the dielectric constant of the inserted material is approximately 2.72.

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Related Questions

Which is an example of negative acceleration?

Answers

A graph that starts from the top left decreasing to the bottom right

Switch on your light source and make sure it's shining onto a wall.hold your largest cardboard square between the light source and the wall.wha do you observe?

Answers

Light source will pass through and form a shadow, when I hold the largest cardboard between the light source and the wall. Since, the cardboard is not so thick it will allow rays to pass through it.

Light rays always travel in a straight line. A shadow is formed when the light rays hit an opaque object. Sun is a natural source of light. The rays from the sun fall on objects on earth and forms shadows. Light rays do not interfere with each other if they come cross each other. Light rays travel from the direction of source to the direction of eye. They show property of reflection wherein after colliding a surface they trace their path back.

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What is the medium for the waves in the photograph?
O A. Leaves
O B. Water
O C. Stones
O D. Air

Answers

the answer would be B

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.

Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.

Answers

If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)

How do i determine the new power?

The following data were obtained from the question:

Initial power (P₁) = PInitial voltage  (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?

P = V² / R

Resistance is constant, we have

V₁² / P₁ = V₂² / P₂

V² / P = (2V)² / P₂

V² / P = 4V² / P₂

Cross multiply

V² × P₂ = P × 4V²

Divide both side by V²

P₂ = P × 4V² / V²

P₂ = P × 4

From the above, we can conclude that the power will increase by a factor of 4 (option E)

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A satellite is placed in a circular orbit about Earth with a radius equal to 44% the radius of the Moon's orbit. What is its period of revolution in lunar months

Answers

The period of revolution of the satellite in lunar months is:T_lunar = T/(2.36 × 10^6)

We can use Kepler's third law to relate the period of revolution of a satellite in circular orbit to its distance from the center of the body it orbits:

(T^2)/(R^3) = (4π^2)/(GM)

where T is the period of revolution, R is the radius of the orbit, G is the gravitational constant, and M is the mass of the body being orbited.

We can simplify this equation by expressing the radius of the orbit of the satellite in terms of the radius of the Moon's orbit. Let R_m be the radius of the Moon's orbit, then the radius of the satellite's orbit is:

R = 0.44R_m

Substituting this into Kepler's third law and solving for T:

(T^2)/[(0.44R_m)^3] = (4π^2)/(GM_e)

T^2 = [(0.44R_m)^3(4π^2)]/(GM_e)

T = √[(0.44R_m)^3(4π^2)/(GM_e)]

where M_e is the mass of the Earth.

To express the period in lunar months, we need to divide the period in seconds by the period of one lunar month. The period of one lunar month is approximately 27.3 days or 2.36 × 10^6 seconds.

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C D
A velocity vs. time graph for an object is shown.
Which parts of the graph represents the object moving at
a constant, positive acceleration?
Velocity vs Time
25
Wand X
X and Y
20
Y
Y and Z
X
15
Velocity (m/s)
W and Z
10
Z
w
5
0
1
2
4
5
3
Time (s)
this and retum
Save and Exit
Su

Answers

Answer:

I’m so sorry I tried solving it but I don’t understand it can you explain the question a little bit more ty

Explanation:

Answer:

its A

Explanation:

I just did it :)

The tilt of Earth's axis causes different seasons. Winter and summer depend on the earth being tilted toward or away from the sun. Earth’s axial tilt fluctuates in a cycle of

Answers

Seasons are caused by the tilt of the Earth's axis. Winter and summer are determined by the tilt of the earth towards or away from the sun. The Earth's axial tilt changes every 41,000 years.

Earth's axial tilt is the angle between the Earth's rotational axis and the plane of its orbit around the sun. The current tilt of the Earth's axis is about 23.5 degrees relative to the plane of its orbit. This tilt is responsible for the changing seasons as the Earth orbits the sun.

The axial tilt of the Earth is not constant but changes over a cycle of about 41,000 years. This cycle is known as the obliquity cycle and is caused by gravitational interactions between the Earth and other celestial bodies such as the Moon and Jupiter.

During this cycle, the tilt of the Earth's axis varies between 22.1 and 24.5 degrees, which results in a change in the amount of solar radiation received at different latitudes. This, in turn, affects the distribution of heat on the Earth's surface and influences the climate.

The effect of this cycle on the climate is relatively small compared to other factors such as greenhouse gases and ocean currents. However, it is believed to have played a role in past climate changes, including the ice ages.

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what type of interference is happening when light waves subtract from each other to create dark spots

Answers

Answer: destructive interference

Explanation: maximum points of a wave and minimum points of

Another wave overlap and sum is zero

a current of 16.62 a is required through a copper wire of length 3.74 m and radius 0.095 mm. what potential different must be placed across the ends of the wire?

Answers

The potential difference required across the ends of the copper wire is 36.9 V.

The potential difference required across the ends of the copper wire can be calculated using Ohm's law, which states that the potential difference (V) is equal to the product of the current (I) and resistance (R), i.e., V = IR.

The resistance of the wire can be calculated using the formula for the resistance of a cylindrical conductor: R = ρL/A, where ρ is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.

Therefore, R = (1.68 x 10^-8 Ωm) x (3.74 m) / π(0.095 x 10^-3 m)^2 = 2.22 Ω.

Substituting the values of I and R in Ohm's law, we get V = (16.62 A) x (2.22 Ω) = 36.9 V.

Therefore, the potential difference required across the ends of the copper wire is 36.9 V.

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A ball is dropped from the top of a building. It initially
moves at 40 m/s. After 0.5 seconds, it moves at 3.8
m/s.
What force is responsible for the slowing of the ball?
air resistance
gravity
normal
tension

Answers

Answer:

Explanation:

I'm assuming you missed the decimal point in the initial velocity and that it should be 4.0 m/s. If after a half of a second it is moving a tiny bit slower, it would be because of air resistance. You can only neglect air resistance if the problems you are doing tell you neglect it.

Answer:

Air resistance

Explanation:

I got it correct on the quiz :)

a 4.40-m-long, 500 kg steel uniform beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. a 70 kg construction worker stands at the far end of the beam.

Answers

The magnitude of the torque about the bolt due to the worker and the weight of the beam is 13,798.4 Nm

What is the magnitude of the torque?

The length of the steel = \(r_{2}\) = 4.4 m

The mass of the steel= \(m_{1}\) = 500 kg

The mass of the worker = \(m_{2}\) = 70 kg

Let , the total torque = \(\tau_{t}\)

The centre of gravity = \(r_{1}\)

                                   =4.4/2

                                   = 2.2

\(\tau_{t} = \tau_{1} +\tau_{2}\\\\\tau_{t} = F_{1}r_{1} + F_{2}r_{2} \\\\\text{We know that},F = mg \\\\\tau_{t} = m_{1}gr_{1} + m_{2}gr_{2}\\\\\tau_{t} = (500* 9.8* 2.2) +(70*9.8* 4.4)\\\\\tau_{t} = 13,798.4 Nm\)

The magnitude of the torque about the bolt due to the worker and the weight of the beam is 13,798.4 Nm.

What is torque?The force that may twist an item about its axis is measured as torque. Torque is what causes an object to acquire angular acceleration, just as force is what causes an object to accelerate in linear kinematics. Torque is a vector quantity.Torque is a twisting or turning force that frequently results in rotation around an axis, which may be a fixed point or the centre of mass. The ability of something rotating, such as a gear or a shaft, to overcome turning resistance is another way to think of torque.

The complete question is:

A 4.40-m-long, 500 kg steel uniform beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70 kg construction worker stands at the far end of the beam. What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?

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A sample of a solid nonmetal is compared to a sample of a solid metal. Both samples have the same volume. What is
the most likely difference between the two samples?
The nonmetal has more mass.
O The nonmetal takes up more space.
O The metal has more mass.
O The metal takes up more space.
Plzzz help !!!

Answers

Answer:

Ok I’m not pretty sure but I think it’s C but look for more answers first before you put C  because I don’t want you to get it wrong. :)

Explanation:

Answer:

i think the answer is The nonmetal takes up more space.

Explanation:

i hope this helps

If there is straight line on speed time graph, which of the following statements best describes A)the body is travelling at a constant speed. B) the body is slowing down. C)the body is accelerating. D) the body is stopped​

Answers

Answer:

Option A

Explanation:

If the graph plotted against Distance and Time and the graph is a linear straight line then the body is IN CONSTANT VELOCITY.And Acceleration is 0

If you double the distance between you and the center of Earth, what happens to the strength of the gravitational field you experience?

Answers

Answer:

The strength of gravity decreases.

An example of that would be if you were in space; you float around because there's no gravity.

The offspring resulting from sexual reproduction are exactly like their parents.

false

true

Answers

Answer:

false

Explanation:

As both parents contribute half of the new organism's genetic material, the offspring will have traits of both parents, but will not be exactly like either parent

Answer:

False

Explanation:

The only time you end up like your parent is asexual reproduction

a charge of 0.4 c moves past a given point every 0.1 s. what is the value of current? round the final answer to one decimal place.

Answers

To convert the provided decimal number to a percent, all we need to do is multiply it by 100.

The random variable E(X) of the data is predicted to have a value of 4.0. The formula: gives the expected value of a random variable X. P = E(X) = x * x (X = x). where represents the whole sum of x's potential values. In this instance, the probability associated with the potential values of x are 0.2, 0.1, 0.2, 0.1, and 0.4, respectively. With these values entered into the formula, we obtain: E(X) = (2 * 0.2) + (3 * 0.1) + (4 * 0.2) + (5 * 0.1) + (6 * 0.4). = 0.4 + 0.3 + 0.8 + 0.5 + 2.4 = 4.0. The predicted value of X, rounded to one decimal place, is 4.0. Regardless matter how many zeros have been added to the provided decimal value during multiplication, the decimal is always moved to the right.  

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It is better to use crow bar to displace a heavy load than with hands . Give reason .​

Answers

Explanation:

Cause it multiples force which makes it easier to move.


\(what \: is \: light \: {?} \)

Answers

Light is a form of electromagnetic radiation with a wavelength which can be detected by the human eye. It is a small part of the electromagnetic spectrum and radiation given off by stars like the sun. Animals can also see light. The study of light, known as optics, is an important research area in modern physics.

Answer:

Light is a form of energy which produces the sensation of sight .

hope it is helpful to you

which statement describes what is occurring at t=5 seconds?

Answers

The statement that describes at t =5 second is is the object speed up.

According to Newton's second law of motion, the acceleration of a body is equal to the net force acting on the body divided by its mass, a = Fm. This acceleration equation can be used to calculate the acceleration of an object if the mass of the object and the net force acting on it are known. The only acceleration of the projectile is the downward acceleration due to gravity.

The projectile has a vertical acceleration of 9.8 m/s/s throughout its trajectory. This acceleration value is constant. This means that the vertical velocity changes by the same amount every second. Instantaneous velocity is the speed of an object at a particular point in time. If the velocity is constant the average velocity for any time interval will not differ from the instantaneous velocity at that point in time.

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I NEED HELP PLEASE, THANKS! :) Why does the pattern of colors repeat in a thin soap film?

Answers

Answer:

When white light shines on the bubble, it acts as a prism. While some of the white light bounces back off, some of them pass through the prism forming fringes of colors. But then, they too bounce off the inner part of the film. So one set of light rays shine into a soap bubble, but two sets of rays come back out again. When they emerge, the waves that bounce off the inner film have traveled a tiny bit further than the waves that bounced off the outer film. So, we have two sets of light waves. After that, the waves starts merging (Just like the ripples in the pond) . Some add together while some cancel out. That is why we see the pattern of colors repeating in the thin film soap.

A motorized float in a Thanksgiving Day parade is traveling
north at a speed of 16.0 km/h. Part of a "Pilgrim" woman's role
In the thematic vignette is to walk across the float to call the
men to dinner. She walks at a speed of 3.22 km/h east as
the float passes the judge's booth, which is on the west side of the street. What is the woman's velocity with respect to the

Answers

B and I were going out to dinner with the kids tonight so we were just gonna hang around for an extra minute if that’s all you need and we can go out and

If a plant grows among many tall trees in a dense forest,how could it adapt so that it could get enough air and water

Answers

Answer:

The answer is below

Explanation:

Plants that grow among many tall trees in a dense forest could adapt so that they could get enough air and water through the following means:

1. By becoming climbers. Here they climb up the nearby trees to get more air and sunlight.

2. Plants grow leaves that have pointed tips. This allows the passage of water in the plant's leaves without causing damage.

3. Some plants grow as epiphytes, where they grow on big trees' canopy

A specialized part of a cell which has a specific location is called:_______

Answers

A specialized part of a cell which has a specific location is called an organelle.

Organelles are responsible for carrying out the various functions of the cell, and each type of organelle has a specific job. The nucleus is the most important organelle in the cell, as it stores the DNA which contains the cell's genetic material. The nucleus is located in the center of the cell and is surrounded by a membrane.The endoplasmic reticulum is another organelle that has a specific location. It is a network of interconnected sacs and channels that runs throughout the cytoplasm.The mitochondria is an organelle that is responsible for converting energy from food molecules into a form that the cell can use.

Overall, organelles are specialized parts of a cell that have a specific location and job. They are responsible for carrying out the various functions of the cell, and each type of organelle has a specific role.

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A wooden block is sitting on an inclined plane near the bottom. The student gave the block a flick and it moved up the inclined plane then stopped. It is expected that the block to start sliding back down the inclined plane but it did not. It just sat there near the top. What is your explanation why the block stopped and did not begin sliding again?

Answers

Answer:

The block didn't slide due to balancing of gravitational force with friction force

Explanation:

When the block was given a flick the force provided an acceleration to it and it moved up the inclined plane. when the block reached top it was expected that it would slide back but it didn't this happened because of the frictional force acting on the bottom the block which was balancing the gravitational force component along the plane and this prevented sliding back of the block.

static friction  was balancing mg*sin(theta)

fs = mg*sin(theta)

An astronaut with mass Ma is within a satellite that orbits Earth at a height H above its surface. Earth has a mass Me & radius Re. Which of the following is a correct expression for the gravitational force exerted on the astronaut by Earth?

Answers

It is to be noted that the correct expression for the gravitational force exerted on the astronaut by Earth on the basis described above is:

Fg=G MeMa/r²e

What is gravitational force?

Gravity is a basic interaction in physics that produces mutual attraction between all entities that have mass or energy.

Gravity maintains the planets around the sun and the moon orbiting the Earth. The moon's gravitational pull attracts water, causing ocean tides. Gravity creates stars and planets by attracting the elements that go into their formation.

Gravity waves are 'ripples' in space-time caused by some of the most destructive and powerful occurrences in the Universe. In 1916, Albert Einstein predicted the existence of gravitational waves in his general theory of relativity.

The gravitational force has the lowest non-contact strength in nature. It adheres to the inverse square law. It is always positive. It is directly proportional to the product of the two bodies' masses.

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The power of a statistical test is its ability to detect statistically significant differences it is defined as 1-β

Answers

The power of a statistical test refers to its ability to detect statistically significant differences between groups or variables.

It is defined as 1-β, where β represents the probability of making a Type II error, or failing to detect a true difference. In other words, a high power value means that the test is more likely to correctly identify significant differences, while a low power value means that it is more likely to miss them. Power is influenced by a variety of factors, including sample size, effect size, and alpha level, among others. It is an important consideration when designing and interpreting statistical analyses.

The power of a statistical test is defined as the probability of rejecting the null hypothesis when it is false, or in other words, the probability of detecting a statistically significant difference when one actually exists. It is often denoted by the symbol "1-β", where β represents the probability of making a Type II error, which is the error of failing to reject the null hypothesis when it is false.

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What features of your design helped your rocket hit the target?

Answers

Answer:

What features of your design helped your rocket hit the target? (Key factors include the rocket's weight, launch angle, ability to fly straight, and the balloon's pressure.) After testing, what changes did you make to your rocket and launcher? (Answers will vary.)

Explanation:

PLEASE GIVE ME BRAINLIEST IF NEW YOULL SEE NEAR MY ANSWER MARK AS BRAINLIEST IF NOT YOULL HAVE TO WAIT A DAY AND BRAINLY WILL REMIND YOU

answer these questions fast ​

answer these questions fast

Answers

For the following:

change in momentum is b), ptemperature depends on b) speeddistance moved by the force is b) V₀ + F/2kinetic energy is b) 32Jabsorbent because ofc) capillary actionits velocity is b) less than all the other colors.

How to solve the problems?

The change in momentum of the body on striking the ground is equal to the initial momentum before firing vertically upward, which is p. Therefore, the answer is (b) p.

The temperature of a body depends upon the average kinetic energy of molecules. Therefore, the answer is (b) speed.

The distance moved by the force is equal to the product of the initial velocity ( V₀) and the time (1 sec) plus half the product of the force (F) and the square of the time (1 sec) divided by the mass (1 kg).

Therefore, the answer is (b) V₀ + F/2.

The total kinetic energy before the explosion is equal to the sum of the kinetic energies of the two pieces after the explosion.

Since the mass and velocity of one of the pieces, calculate its kinetic energy using the formula KE = (1/2)mv².

Therefore, the kinetic energy of the other mass is (b) 32J.

Foams and cotton clothes are used to absorb water because of their (c) capillary action. Capillary action refers to the ability of a substance to draw liquid into its small spaces or pores.

In a spectrum, red color is deviated to a lesser extent than all the other colors because its velocity is (b) less than all the other colors. The speed of light in a medium depends on the refractive index, which is different for different colors. Red light has a lower refractive index compared to other colors, causing it to be deviated to a lesser extent.

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Calculate magnitude and direction of the vector c while a=3 and b=5

Answers

Answer:

8

Explanation:

thc jhjhhdb hhvb. ggjv. j h. vhvhhhdh.

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