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
romanna [79]
3 years ago
6

A capacitor is created by two metal plates. The two plates have the dimensions L = 0.49 m and W = 0.48 m. The two plates are sep

arated by a distance, d = 0.1 m, and are parallel to each other.

Physics
2 answers:
Tomtit [17]3 years ago
8 0

Answer:

A) The expression of the electric field halfway between the plates, if the plates are in the plane Y-Z is:

\vec{E}=\displaystyle \frac{q}{LW\varepsilon_0}\vec{x}

B) The expression for the magnitude of the electric field E₂ just in front of the plate two ends is:

|E_2|=\displaystyle \frac{q}{2LW\varepsilon_0}

C) The charge density is:

\sigma_2=-4.2517\cdot10^{-3}C/m^2

Completed question:

A capacitor is created by two metal plates. The two plates have the dimensions L = 0.49 m and W = 0.48 m. The two plates are separated by a distance, d = 0.1 m, and are parallel to each other.

A) The plates are connected to a battery and charged such that the first plate has a charge of q. Write an express of the electric field, E, halfway between the plates

B) Input an expression for the magnitude of the electric field, E₂. Just in front of plate two END

C) If plate two has a total charge of q =-1 mC, what is its charge density, σ in C/m2?

Explanation:

A) The expression of the field can be calculated as the sum of the field produced by each plate. Each plate can be modeled as 2 parallel infinite metallic planes. Because this is a capacitor connected by both ends to a battery, the external planes have null charge (the field outside the device has to be null by definition of capacitor). This means than the charge of each plate has to be distributed in the internal faces. Because this es a metallic surface and there is no external field, we can consider a uniform charge distribution (σ=cte). Therefore in this case for each plane:

\sigma_i=\displaystyle \frac{q_i}{LW}

The field of an infinite uniform charged plane is:

\vec{E_i}=\displaystyle \frac{\sigma_i}{2\varepsilon_0}sgn(x-x_{0i})\vec{x} =\frac{q_i}{2LW\varepsilon_0}sgn(x-x_{0i})\vec{x}

In this case, inside the capacitor, if the plate 1 is in the left and the plate 2 is in the right, the field for 0<x<d is:

\vec{E_1}\displaystyle=\frac{q}{2LW\varepsilon_0}sgn(x})\vec{x}=\frac{q}{2LW\varepsilon_0}\vec{x}

\vec{E_2}\displaystyle=\frac{-q}{2LW\varepsilon_0}sgn(x-d})\vec{x}=\frac{q}{2LW\varepsilon_0}\vec{x}

\vec{E}=\vec{E_1}+\vec{E_2}

\vec{E}=\displaystyle \frac{q}{LW\varepsilon_0}\vec{x}

B) we already obtain the expression of the field E₂ inside the space between the plates. Even if we are asked the expression just in front of the plate and not inside, the expression for |E₂| is still de same.

C) As seen above, we already obtain the charge density expression. Therefore we only have to replace the variables for the numerical values.

Sidana [21]3 years ago
5 0

Answer:

Explanation:

Check attachment

You might be interested in
A bicycle is heading west. It goes 500m in 5 minutes. What is its velocity?
icang [17]
Speed = 500m/5min = 100 m/min. Direction = west. Velocity = 100 m/min west.
4 0
3 years ago
Read 2 more answers
Why does the emission spectrum of hydrogen or unknown source have a distinct line spectrum instead of a continuous one?
aleksandr82 [10.1K]

Answer

When an electron makes transition from a state of higher energy to a state of lower energy it does so by emitting energy in form of radiation in the visible spectrum of light.

Since the basic postulates of the atomic theory is that the energy that the electron possess in it's orbit's takes only discrete values and cannot take any random value thus when an electron makes a transition from a state of higher energy to state of lower energy it will emit radiation with energy equal to difference between the energy levels of the 2 orbit's thus we only observe discrete lines.

Mathematically when an electron makes a transition between states the wavelength of light it releases is given by

\frac{1}{\lambda }=R_{\infty }(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}})

where R_{\infty } is Rydberg constant

n_{1} is upper energy level

n_{2} is lower energy level

thus we can see that only discrete wavelength's are released and not continuous wavelength's of light.

3 0
3 years ago
Which of the following statements about igneous rocks is correct?
g100num [7]
Although you have not provided the possible answers, igneous rocks are formed out of magma or lava, with or without crystals, and they can be found either on the surface or under it. This is a basic description of the type of rocks, so it might fit some of the answers you may have.
3 0
3 years ago
How do good and bad ozone forms
sasho [114]
Good are free zones bad is car pollution ext.
3 0
3 years ago
Read 2 more answers
What is the ground-state electron configuration of a neutral atom of titanium?
Georgia [21]

Answer:

\bold {1s^22s^22p^63s^23p^64s^23d^2}

Explanation:

electronic configuration of an atom is the spatial arrangement of the electrons around the nucleus in the energy orbits

We know that the atomic number of Titanium is 22

The electronic configuration of Titanium is

1s^22s^22p^63s^23p^64s^23d^2

3 0
3 years ago
Other questions:
  • An automobile tire having a temperature of −1.5 ◦C (a cold tire on a cold day) is filled to a gauge pressure of 26 lb/in2 . What
    6·1 answer
  • A chair is pushed forward with a force of 185 N. The gravitational force of earth on the chair is 155 N downward. The force of f
    13·2 answers
  • If the air temperature is 20°C and the relative humidity is 58% what is the dewpoint
    10·1 answer
  • A nuclear power plant operates at 79 percent of its maximum theoretical (Carnot) efficiency between temperatures of 700° and 330
    8·1 answer
  • A hydraulic car jack needs to be designed so it can lift a 2903.57 lb car assuming that a person can exert a force of 24.41 lbs.
    11·1 answer
  • In the example given below, Aaron applies a force of 300N and Bob applies a force of 450N :
    9·1 answer
  • List three conditions for current to flow in a circuit.
    8·1 answer
  • Two risks of exposure to High levels of UV radiation
    10·2 answers
  • A truck of mass 10000kg moving through a sloppy road of length 20km with the help of 5000N force. If the truck climbs the vertic
    5·1 answer
  • Even though it's not very popular these days, I like our system . Getting together to talk about who the best candidate might be
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!