Consider a air-filled parallel-plate capacitor with plates of length 8 cm, width 5.52 cm, spaced a distance 1.99 cm apart. Now imagine that a dielectric slab with dielectric constant 2.6 is inserted a length 4.4 cm into the capacitor. The slab has the same width as the plates. The capacitor is completely filled with dielectric material down to a length of 4.4 cm. A battery is connected to the plates so that they are at a constant potential 0.8 V while the dielectric is inserted.

Required:
What is the ratio of the new potential energy to the potential energy before the insertion of the dielectric?

Answers

Answer 1

Answer:

The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58

Explanation:

Given that,

Length of plates = 8 cm

Width = 5.52 cm

Distance = 1.99 cm

Dielectric constant = 2.6

Length = 4.4 cm

Potential = 0.8 V

We need to calculate the initial capacitance

Using formula of capacitance

[tex]C=\dfrac{\epsilon_{0}A}{d}[/tex]

Put the value into the formula

[tex]C=\dfrac{8.85\times10^{-12}\times8\times5.52\times10^{-4}}{1.99\times10^{-2}}[/tex]

[tex]C=1.96\times10^{-12}[/tex]

We need to calculate the final capacitance

Using formula of capacitance

[tex]C'=\dfrac{\epsilon_{0}A_{1}}{d}+\dfrac{k\epsilon_{0}A_{2}}{d}[/tex]

Put the value into the formula

[tex]C'=(\dfrac{8.85\times10^{-12}}{1.99\times10^{-2}})((4.4\times5.52)+(3.6\times5.52)2.6)\times10^{-4}[/tex]

[tex]C'=3.37\times10^{-12}[/tex]

We need to calculate the  ratio of the new potential energy to the potential energy before the insertion of the dielectric

Using formula of energy

[tex]\dfrac{E}{E'}=\dfrac{\dfrac{1}{2}CV^2}{\dfrac{1}{2}C'V^2}[/tex]

Put the value into the formula

[tex]\dfrac{E}{E'}=\dfrac{1.96\times10^{-12}}{3.37\times10^{-12}}[/tex]

[tex]\dfrac{E}{E'}=0.58[/tex]

Hence, The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58


Related Questions

{Earth science} I give brainly!*

Please select the word from the list that best fits the definition


used as evidence for sea-floor spreading

Options~


Magma

Seismograph

Global positioning system

Fossils

Rift zones

Magnetic reversal'

*I only give brainly if you are right lol

Answers

Answer:

The answer is magma

Explanation:

I'm 99.99% this is right

Answer: its magnetic reversal

Explanation: jus took the test make brainly

1. A rock is falling downwards at 12.0 m/s. After 2.0 seconds it is falling at downwards at
31.6 m/s. What was its acceleration?

Answers

Answer:

a = 9.8 m/s²

Explanation:

Here, we will use the first equation of motion to determine the acceleration of the falling rock. The first equation of motion is written as follows:

Vf = Vi + at

where,

Vf = Final Velocity of the falling rock = 31.6 m/s

Vi = Initial Velocity of the falling rock = 12 m/s

a = acceleration = ?

t = time interval = 2 s

Therefore,

31.6 m/s = 12 m/s + a(2 s)

a = (31.6 m/s - 12 m/s)/(2 s)

a = 9.8 m/s²

The acceleration will be "9.8 m/s²".

Given:

Final velocity, [tex]V_f = 31.6 \ m/s[/tex]Initial velocity, [tex]V_i = 12 \ m/s[/tex]Time, [tex]t = 2 \ seconds[/tex]

We know the relation,

→ [tex]V_f = V_i +at[/tex]

By substituting the values,

 [tex]31.6 = 12+a(2)[/tex]

     [tex]a = \frac{31.6-12}{2}[/tex]

        [tex]= \frac{19.6}{2}[/tex]

        [tex]= 9.8 \ m/s^2[/tex]

Thus the answer above is correct.

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You are playing right field for the baseball team. Your team is up by one run in the botton of the last inning of the game when a ground ball slips through the infield and comes straight toward you. As you pick up the ball 65m from home plate, you see a runner rounding third base and heading for home with the tying run. ou throw the ball at an angle of 30 degrees above the horizontal with just the right speed so that the ball is caught by the catcher, standing on home plate, at the same height as you threw it. As you release the ball, the runner is 20 meters from home plate and running full speed at 8.0 m/s. Will the ball arrive in time for your team's catcher?

Answers

Answer:

The correct response is "No". The further explanation is given below.

Explanation:

The given values are:

Angle

[tex]\theta = 30^{\circ}[/tex]

Distance

d = 20 m

Speed

s = 8.0 m/s

Now,

⇒  [tex]y(t) = \frac{1}{2}\times a\times t^2 + v0\times t\times (sin \theta)[/tex]

    [tex]0 = -4.9t^2 + v0\times t\times (sin 30)[/tex]

    [tex]x = v0\times (cos \theta)\times t[/tex]

    [tex]65 = v0\times (cos 30)\times t[/tex]

    [tex]v0\times t = \frac{65}{Cos30}[/tex]

    [tex]0 = -4.9t^2 + 65\times \frac{sin30}{cos30}[/tex]

    [tex]t = 2.767 \ sec[/tex]

So,

⇒  [tex]d = r\times t[/tex]

    [tex]20 = 8\times t[/tex]

      [tex]t=2.5 \ sec[/tex]

Therefore, 2.5 < 2.767, so it won't get there.

Please Help:)
How to draw two vectors being added:

Answers

Explanation:

you add the from head to tail. Head is the triangle and tail is the final point of the vector

Which formations are created by wave erosion?

a) Barrier beaches
b) Sandbars
c) Spits
d) Stacks

Answers

Answer:d) Stacks

Explanation: A stack or sea stack is a geological landform consisting of a steep and often vertical column or columns of rock in the sea near a coast, formed by wave erosion. Stacks are formed over time by wind and water, processes of coastal geomorphology.

A force that tends to pull an object towards the center of the earth is? ​

Answers

Explanation:

Gravitational force

A person in a lab wants to make a car accelerate faster. Should the person:
O decrease the mass
o increase the mass
O lower the force

Answers

Answer:

Decrease the mass.

Explanation:

By Newton's Second Law we know that net force exerted on a given system equals the rate of change of linear momentum ([tex]P[/tex]) in time.

[tex]F = \frac{dP}{dt}[/tex] (Eq. 1)

When mass of the system has a constant mass, this net force ([tex]F[/tex]) is reduced to its mass ([tex]m[/tex]) multiplied by acceleration ([tex]a[/tex]):

[tex]F = m\cdot a[/tex] (Eq. 2)

If we keep net force exerted on system constant, then a decrease on mass is compensated by an increase in acceleration. Hence, correct answer is: Decrease the mass.

A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. We observe that at room temperature (20.0°C) the ammeter reads 18.5 A, while at 92.0°C it reads 17.2 A. We can ignore any thermal expansion of the rod. Find
a. the resistivity at 20.0°C and
b. the temperature coefficient of resistivity at 20.0°C for the material of the rod.

Answers

Answer:

a) 1.06*10^-5

b) 0.00105 °C^-1

Explanation:

Given that

Length of the cylinder, L = 1.5 m

Radius of the cylinder, r = 0.25 cm

Voltage across the rod, V = 15 V

I• at Temperature T• = 20° C is 18.5 A

I at Temperature T = 90° C is 17.2 A

See attachment for calculations

Two cars approach one another on opposing lanes of a highway. Car 1 is traveling north at a velocity of 80 km/h and car 2 is traveling south at a velocity of 140 km/h. What is the magnitude of the velocity of car 1 relative to car 2?

Answers

Answer:

220 km/hr

Explanation:

A square boat with a mass of 544 g is placed in a tank of corn syrup. The corn syrup has a density of 1.36 g/mL. The boat has a base that measures 8 cm by 8 cm. How far will the boat sink into the corn syrup?
A. 4.17 cm
B. 6.25 cm
C. 8.50 cm
D. 11.56 cm

Answers

the answer is B.6.25

Answer:

B

Explanation:

A force of 20 N is inclined at 30 degrees to the X axis. What are X and Y components of the force?

Answers

Answer: 10 root 3 N, 10N

Explanation:

How does increasing the amount of charge on an object affect the electric force it exerts on another charged
object?

The electric force increases because the amount of charge has an indirect relationship to the force.

The electric force increases because the amount of charge has a direct relationship to the force.

The electric force decreases because the amount of charge has an indirect relationship to the force.

The electric force decreases because the amount of charge has a direct relationship to the force.

Answers

Answer:

the electric force increases because the amount of charge has a direct relationship to the force

Increasing the amount of charge on an object will increase the electric force it exerts on another charged object because the amount of charge has a direct relationship to the force. Therefore, option (B) is correct.

How to calculate the charge on an object?

Mathematically, the amount of charge on an object due to the effect of the force that is exerted on it can be calculated by using the formula mentioned below:

F = E×q

Where F is the electric force, E is the energy, and q is the charge.

The electric force between charged particles at rest is known as electrostatic force. The magnitude of the electric force between point charges is directly proportional to the multiplication of the charges and inversely proportional to the distance between them.

Therefore, increasing the amount of charge on an object would increase the electric force because the amount of charge has a direct relationship with the force.

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Using a streak test on a mineral that is harder than 7 on Mohs scale would not be very useful True or False

Fracture is the way minerals break along smooth planes of weakness. True or False

Cleavage is the way minerals break with uneven, jagged or rough surfaces True or False

The way light reflects off a mineral is called transparency. True or False

Minerals are the building blocks of rocks. True or False

Mohs scale measures a mineral’s streak. True or False

Color is the most reliable test for identifying a mineral. True or False

Answers

Answer: True true false true

Explanation:

Kristine wants to maesure the mass and volume of the key which tools should she use

Answers

Electronic balance for the mass.
Measuring cylinder with water to find the volume of the keys (put keys in the cylinder and see the change in volume)

How does the amount of work done on an object to make it move in the horizontal direction compare to the amount of kinetic energy gained by the object

Answers

Answer:

when compared, they are equal

Explanation:

the quantity of work done on object to get it to move in the horizontal direction as well as amount of kinetic energy gained by this object have a direct relationship.

this is true because we are going by the work-energy theory.

"the net work done on any object is equal to the change in the kinetic energy of that object".

therefore amount of kinetic energy gained = work done to make it go in an horizontal direction.

my plan for increasing my participation includes the following strategies​

Answers

Answer:

Find the explanation below.

Explanation:

I agree to increase my participation in active recreational activities particularly jumping and running for 5 days per week. I will begin my program next month and plan to reach my final goal by entering SPORTS.

My plan for increasing my participation includes the following strategies

1. I must have a positive mind and participate in activities so I can get good grades.

2. I would prepare a schedule for my activities so that they do not encroach on the time for sports.

3. I must dedicate hours to practice the skills that I am not very good at

4. I must listen attentively to the instructions from my coach and apply them diligently.

5. I must develop the spirit of sportsmanship with my peers and playmates so that I can learn from their skills.

My plan for increasing my participation include:

Listen carefully.Foster friendships.Engage the help of volunteers.Promote exercise.Initiate regular meetings for special interest groups.

In order to increase participation in activities, it's important to be patient and take time to listen. There should be undivided attention.

Encourage friendships by identifying the residents that have identical character traits and personalities. One can also initiate a volunteers program. They can assist by supervising groups and leading discussion groups.

There should be a promotion of exercise. Residents should be aware of the benefits of exercise for their minds and body. There should also be regular meetings for special interest groups.

Read related link on:

https://brainly.com/question/22697935

Describe how an electric bell works

Answers

Answer: Google: An electric bell is a mechanical or electronic bell that functions by means of an electromagnet. ... When an electric current flows through the coils, the electromagnet creates a magnetic field which pulls the armature towards it, causing the hammer to strike the bell.

In my words: An electric bell works with a function of electromagnet. When the electric current flows into the coils, the electromagnet makes a magnetic field that brings the aemature towards the magnentic feild. When this happend  this cause the hammer to hit the bell. And this is how an electric bell works.  

Explanation:

Answer:

"An electric bell is a mechanical or electronic bell that functions by means of an electromagnet. ... When an electric current flows through the coils, the electromagnet creates a magnetic field which pulls the armature towards it, causing the hammer to strike the bell."

Please help science question

Answers

Answer:

it is moving left

Explanation:

A beam of charged particles moving with a speed of 106 m/s enters a uniform magnetic field of 0.1 T at right angles to the direction of motion. If the particles move in a radius of 0.2 m, then calculate their period of motion.

Answers

Answer:

The period of motion is 1.26x10⁻⁶ s.

Explanation:

The period of motion can be found as follows:

[tex] \omega = \frac{2 \pi}{T} [/tex]

Where:

ω is the angular speed

T is the period

The angular speed is related to tangential speed (v):

[tex] v = \omega r [/tex]

r is the radius

Hence, the period is:

[tex] T = \frac{2 \pi r}{v} = \frac{2 \pi 0.2 m}{10^{6} m/s} = 1.26 \cdot 10^{-6} s [/tex]

Therefore, the period of motion is 1.26x10⁻⁶ s.

I hope it helps you!                                                                                      

How far has a object fallen that is traveling 98 m/s In 10 seconds

Answers

Answer:

The distance is, y = 489.5 [m/s]

Explanation:

To solve this problem we can use the following equation of kinematics.

[tex]v_{f}^{2}= v_{i}^{2}+(2*g*y)[/tex]

where:

Vf = final velocity = 98 [m/s]

Vi = initial velocity = 0

g = gravity acceleration = 9.81 [m/s^2]

y = distance [m]

(98^2) = 0 + (2*9.81*y)

Note: the positive sign of the equation means that the acceleration of gravity acts in the direction of the movement of the object.

9604 = 19.62*y

y = 489.5 [m/s]

A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20 degree above the horizontal. How long will it take the jumper to reach the highest point

Answers

Answer:

ffffffffffffffffffffffffffffffffffffffff

Explanation:

The jumper will take 0.419 seconds to reach the highest point.

What is Projectile Motion?

A projectile can be described as an object that is thrown obliquely near the surface, it moves along a curved path with constant acceleration directed toward the center of the earth.

In a Projectile Motion, along the x-axis, there is uniform velocity, responsible for the horizontal motion, and along the y-axis, there is uniform acceleration, responsible for the vertical motion of the particle.

The time required to attain the maximum height of the jumper will be given by:

[tex]t =\frac{usin\theta}{g}[/tex]

Given, the velocity of the jumper, u = 12 m/s

The  angle of the jumper with the horizontal, θ = 20°

The time taken by the jumper to achieve maximum height:

[tex]t = \frac{12\times sin 20}{9.8}[/tex]

t = 0.419 sec

Therefore, the jumper will achieve maximum height in 0.419 seconds.

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Scientists often work on projects for a long time and fail to see sources of error in their research. Which process allows an outside expert to look at the scientist's project and point to sources of error?

Answers

Answer:

Peer Review

Explanation: I took the test

Which refers to the density of the medium’s particles at the compression of a sound wave?

amplitude
pitch
volume
wavelength

Answers

Answer:

The answer is A

Answer:

A. amplitude

Explanation:

State the following forms of electromagnetic radiation in increasing order of wavelength.
Radiowaves, gamma rays, x-rays, infrared radiation, visible light​

Answers

Answer:

Gamma rays, x-rays, visible light, infrared radiation and radiowaves

Explanation:

Gamma rays, x-rays, ultraviolet, visible light, infrared radiation, microwave and radiowaves

An object has a mass of 4kg. What is its weight (in Newton) on Earth?​

Answers

Answer:

mass of an object = 4kg

acceleration due to gravity on earth = 9.8 m/s²

therefore , weight of an object on earth = Mass × gravity

=> weight = 4×9.8 => 39.2 N

since , weight is a force we measure it in newtons

Jafar's pretty practical, and the physics teacher seems to talk a lot about unreal things such as frictionless surfaces, point particles that represent whole objects (like his car), and ropes that do not stretch when they are used. Scott, one of Jafar's classmates, says that there's the world and then there's physics class and it's not real; Jafar should just memorize the unreal things, give the teacher what she wants, and forget them after the final examination, but Jafar is not comfortable with that. He wants to be an engineer like his older sister, and she told him that what they learned in physics does relate to her job. So giving the teacher what she wants and forgetting does not seem like a good option to him. Which, if any, of the following possible statements Jafar makes to Scott in response to his suggestion could be correct and may be able to persuade Scott to change his mind?
A. "Physics uses unreal situations as starting points because they are easy to visualize and do calculations with, then it adds reality little by little on to the simplified foundations; so points that represent objects aren't lies, they are just simplifications that give us a foothold onto the ideas that are important to consider."
B. "Physics gave the world the transistor and other devices that work in the computers in my car. Physicists have been able to land objects from Earth on Mars and have invented lasers and holograms. Something they are doing as scientists leads to these results, so we should both work to really understand how physics works."
C. "Engineers who built bathyscaphes to investigate the ocean depths use physics principles to keep occupants alive. Engineers who build bridges use physics so the cars do not plunge through even in heavy traffic. Engineers can create integrated circuits that do huge numbers of calculations each second. I think it must be important to understand how the basic physics leads to these useful results."
D. "My sister is an engineer, and she says learning physics is important. If she says so, we should learn O it."

Answers

Answer:

Statements A,B,C are correct

Explanation:

For the first statement Jafar is trying to explain the reasons behind the use of unreal/ideal situations by the physics teacher while teaching in classrooms and that can make Scott change his mind about physics

The second statement shows the real applications of physics in every day Devices like the transistor and other devices seen in the world today

The third statement shows to Scott the application of physics in ensuring  the safety of lives and property  of people around the world

while statement D is not a correct statement to persuade Scott

Answer:

yes A,B,C

Explanation:

When practicing reading skills, you should focus on _______.

content recall
comprehension
speed
all of the above

Answers

Answer:

I would say the answer is All the above.

Explanation:

If this wasn't what you were looking for please don't hesitate to comment again! Have a nice day/night! :)

Answer:

all the above

Explanation:

A 45 Kg object is given a net force of 500 n what is its approximate acceleration

Answers

Acceleration = force / mass = 500/45 = 11.1 m/s^2

The acceleration of the object is 11.11 m/[tex]s^2[/tex] (approximately).

What is acceleration?

The rate of change of velocity of a body with respect to time is known as acceleration. Due to having both magnitude and direction, it is a vector quantity having SI unit m/s^2.

Given parameter,

The mass of the object, m = 45 Kg.

Net force acting on the object, F = 500 N.

Acceleration of the object, a= ?

From Newton's 2nd law of motion,

Force = mass × acceleration

⇒ F = ma

⇒ a = F/m

= 500 N /45 Kg

= 11.11 m/s^2. (approximate)

Hence, the approximate value of acceleration of the object, a = 11.11 m/s^2.

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A box of oranges with a weight of 96 N is being pushed across a horizontal floor. As it moves, it is slowing at a constant rate of 0.90 m/s each second. The push force has a horizontal component of 20 N and a vertical component of 25 N downward.

Required:
Calculate the coefficient of kinetic friction between the box and floor.

Answers

Answer:

μk=0.24

Explanation:

Please see attached a detailed drawing of the force and line diagram for your reference.

Given data

weight W=96N

Fx=20N

Fy=25N

acceleration a= -0.9m/s^2----slowing down indicate negative

W=mg= 96N

Fk= kinetic friction= μkN

where N= normal reaction

from newtons second law

F=ma

x-----Fx-Fk=ma

Fk=Fx-ma

y----N-Fy-W=0

N=25+96

N=121N

so

Fx-μkN=ma

20-μkN=(96/9.81)-0.9

20-μkN=-86.4/9.81

20-μkN=-8.80

-μkN=-20-8.8

μkN=20+8.8

μk=28.8/N

μk=28.8/121

μk=0.238

μk=0.24

Vectors A and B lie in the xy ‑plane. Vector A has a magnitude of 17.1 and is at an angle of 150.5∘ counterclockwise from the +x ‑axis. Vector B has a magnitude of 28.1 and is 205.3∘ from the +x ‑axis. Resolve A and B into components, and express using ???????????? unit vectors,
A =Ax????+Ay????+Az????
B =Bx????+By????+Bz????
where Ax, Ay, Az and Bx, By, and Bz are the calculated values of the x ‑, y ‑, and z ‑components of vectors A and B , respectively.

Answers

Answer:

A = -14.87 i ^ + 8.42 j ^ + 0 k ^

B = -25.41 i ^ -12.0 j ^ + 0 k ^

Explanation:

For this exercise let's use trigonometry by decomposing to vectors

vector A

module 17.1 with an angle of 150.5 counterclockwise.

         Sin 150.5 = [tex]A_{y}[/tex] / A

         cos 150.5 = Ax / A

         A_{y} = A sin 150.5 = 17.1 sin 150.5

         Aₓ = A cos 1505 = 172 cos 150.5

         A_{y} = 8,420

         Aₓ = -14.870

the vector is

          A = -14.87 i ^ + 8.42 j ^ + 0 k ^

Vector B

         [tex]B_{y}[/tex] = 28.1 sin 205.3

         Bₓ = 28.1 cos 205.3

         B_{y} = -12.009

          Bₓ = -25.405

the vector is

          B = -25.41 i ^ -12.0 j ^ + 0 k ^

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