1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yawa3891 [41]
2 years ago
7

a. When the electric field between the plates is 75% of the dielectric strength and energy density of the stored energy is 2800

J/m3, what is the value of the dielectric constant k?
Physics
1 answer:
Olegator [25]2 years ago
3 0

Answer: The value of the dielectric constant k = 1.8

Explanation:

If C= ε A/d and

Electrostatic energy W = 1/2CV^2

Substitutes C in the first formula into the energy formula.

W = 1/2 ε A/d × V^2

Let us remember that electric field strength E is the ratio of potential V to the distance d. Where V = Ed

Substitute V = Ed into the energy W.

W = 1/2 × ε A/d ×( Ed )^2

W = 1/2 × ε A/d × E^2 × d^2

d will cancel one of the ds

W = 1/2 × ε Ad × E^2

W/Ad = 1/2 × ε × E^2

W/V = 1/2 × ε E^2

Where Ad = volume V

E = dielectric strength

εo = permittivity of free space = 8.84 x 10^-12 F/m

W/V = 2800 J/m^3

Let first calculate the dielectric strength

2800 = 1/2 × 8.84×10^-12 × E^2

5600 = 8.84×10^-12E^2

E^2 = 5600/8.84×10^-12

E = sqrt( 6.3 × 10^14)

E = 25 × 10^7

75% of E = 18.9 × 10^6Jm

The permittivity of the material will be achieved by using the same formula

2800 = 1/2 × ε E^2

2800 = 0.5 × ε × (18.9×10^6)^2

2800 = ε × 1.78 × 10^14

ε = 2800/1.78×10^14

ε = 1.57 × 10^-11

Dielectric constant k = relative permittivity

Relative permittivity is the ratio of the permittivity of the material to the permittivity of the vacuum in a free space. That is

k = 1.57×10^-11/8.84×10^-12

k = 1.776

k = 1.8 approximately

Therefore, the value of the dielectric constant k is 1.8

You might be interested in
Gravity is a force that helps to hold the universe together.true or false
Valentin [98]
Yes, this is a true statement.



gravity is so important.
7 0
3 years ago
Read 2 more answers
“I know what the atomic number of this atom is, but I don’t know what the number of electrons is,” a friend says. How would you
liq [111]

Once the atomic number of an atom is known, the number of electrons can be deduced depending on if the atom is an ion or a neutral one.

<h3>Atomic number</h3>

The atomic number of an atom is the number of protons in the nucleus of the atom.

For atoms that are neutral, that is, no net charges, the number of protons is always equal to the number of electrons. In other words, the positive charges always balance the negative charges in neutral atoms.

Thus, if the atomic number of a neutral atom is 6, for example, the proton number will also be 6. Since the proton must balance the electron, the number of electrons will also be 6.

More on atomic numbers can be found here; brainly.com/question/17274608

8 0
2 years ago
A roller coaster is stationary at the top of a ramp.
Serjik [45]

Answer:

A

Explanation:

The roller coaster is stationary so the kinetic energy would be zero, but it is at the top of ramp so the potential energy would be high as its gravitational  so it would have to be A

6 0
2 years ago
A cricket player catches the ball leaning towards to the ground,why?​
Vadim26 [7]

Answer:

Explanation:

As it’s difficult to catch it from up.

Gravitational force will pull us when we jump.

If gravity was not there, he could catch the ball. But he will float in the sky after that.

That’s the answer

3 0
3 years ago
What is the main function of a protein within the body?
aksik [14]
The answer looks to be "A" because Protein is used to regulate organs.
4 0
3 years ago
Read 2 more answers
Other questions:
  • At the county fair, Chris throws a 0.12kg baseball at a 2.4kg wooden milk bottle, hoping to knock it off its stand and win a pri
    14·1 answer
  • anice is watching her granddaughter drive a Barbie Jeep with a 6 V battery and an electric motor with 5 ohm of resistance. How m
    13·2 answers
  • Can someone tell me a food chain then explain how ur food chain works?! Plz
    10·1 answer
  • How do you determine the number of electrons in the shells
    13·1 answer
  • Two children want to balance horizontally on a seesaw. The first child is sitting one meter to the left of the pivot point locat
    9·1 answer
  • Which statement below is correct?
    11·2 answers
  • The importance of globular clusters in determining the correct location of the center of the Milky Way Galaxy is that they conta
    13·1 answer
  • The height of the tide measured at a seaside community varies according to the number of hours t after midnight. If the height h
    10·1 answer
  • The shape of the orbit for most comets is a(n):<br><br> circle<br> parabola<br> ellipse<br> oval
    13·1 answer
  • A stationary charge is located between the poles of a horseshoe magnet. Is a magnetic force excerted of the charge? why?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!