If two similar large plates each of area having surface charge density is +a and -b are separated by a distance d in air find the expression for the potential difference and capacitance between them

Answers

Answer 1

Answer:

a. V = (a - b)d/2ε₀ b. 2ε₀A/d

Explanation:

a. The potential difference between the plates

Using Gauss' law, we first find the electric field between the plates

ε₀∫E.dA = Q where Q = charge enclosed, E = electric field

Now Q = [a +(-b)]A = (a - b)A where + a and -b are the surface charge densities of the plates and A is the area of the plates.

ε₀∫E.dA = Q

ε₀∫EdAcos0 + ε₀∫EdAcos0 = (a - b)A

ε₀E∫dA + ε₀E∫dA = (a -b)A

ε₀EA + ε₀EA = (a -b)A

2ε₀EA = (a -b)A

E = (a - b)/2ε₀

We now find the potential difference, V between the plates from

V = ∫E.dl

V =E∫dl

V = Ed  where ∫dl = d the distance between the plates.

V = (a - b)d/2ε₀

b. The capacitance between them

Capacitance C = Q/V

= (a - b)A ÷ (a - b)d/2ε₀

= 2ε₀A/d


Related Questions

The acceleration due to gravity of jupiter is 25meter per second squar.what does it means?​

Answers

Answer:

That due the the gravity anything that falls in its gravity accelerates by 25metres per second

Explanation:

A sports car accelerates from rest at 4 metre per second squared for 10 seconds , its final velocity would be?

Answers

Answer:

40m/s

Explanation:

s= NOT NEEDED

u= 0

v= ?

a=4m/s^2

t=10

find the equation

v=u+at

substitute in values:

v=0+4x10

v=40m/s

Answer:

I'm not sure

Explanation:

Because I dont

You apply a force of 54 N to a car jack in order to change a tire. Each "Crank" of the jack is exerted over a distance of
64 cm. What is the work input on the car jack? (Hint: 1m = 100 cm)
Step # 1
Step #2
Step #3

Answers

Explanation:

Work = force × distance

W = (54 N) (0.64 m)

W ≈ 35 J

Se realiza un trabajo mecanico de 3500 J para levantar una cubeta con area cuyo peso tiene una determinada magnitud. Determina la altura a la que se elevo la cubeta

Answers

Answer:

10 m

Explanation:

Trabajo (W) = 3500 J,   peso de la cuchara (F) = 350 N.

El trabajo es el producto de la fuerza que actúa sobre un objeto y la distancia o desplazamiento. La unidad de trabajo estándar son los joules (J).

Trabajo (W) =  fuerza (F) × distancia (d)

W = F × d

[tex]d=\frac{W}{F} =\frac{3500J}{350}=10m[/tex]

el cubo se elevó a 10 m

The height (distance) to which the bucket was raised is equal to 10 meters.

Given the following data:

Work done = 3500 JoulesWeight of bucket = 350 Newton

To determine the height (distance) to which the bucket was raised:

Mathematically, work done is given by the formula:

[tex]Work\;done = Force \times distance[/tex]

Substituting the given parameters into the formula, we have;

Note: Force = weight.

[tex]3500 = 350 \times distance\\\\Distance = \frac{3500}{350}[/tex]

Distance = 10 meters.

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energy is the ability to___or___ matter​

Answers

Energy is defined in science as the ability to move matter or change matter in some other way.

Two forces oppose each other while a star is stable. The first is gravity pulling inward. What is the
other force?

Answers

Answer:

the radiation pressure that has to push the star

Explanation:

In the stars there are two forces that act in the opposite direction.

- On the one hand there is the force of gravity that the star has to collapse

- On the other is the radiation pressure that has to push the star. This pressure comes from the radiation and velocity of the particles involved in nuclear reactions.

Consider a cylindrical crew module with a diameter of 5 meters, a length of 15 meters, and a crew of 6 people. The module contains air that is at
standard sea-level atmospheric pressure and temperature. The sea level density of air at 20 degrees Celsius is 1.204 kg/m3.
What is the volume of the crew module? Provide your answer in m' with at least 2 decimal places.​

Answers

Answer:

  294.524 m^3

Explanation:

The volume of a cylinder is given by the formula ...

  V = πr^2h

For a radius of 2.5 m and a length of 15 m, the volume is ...

  V = π(2.5 m)^2(15 m) = 93.75π m^3 ≈ 294.524 m^3

The volume is about 294.52 cubic meters.

Help me pretty please

Answers

Answer:a

Explanation:

Solar energy is a form of
energy from the Sun.
OA) heat
OB) nuclear
OC) mechanical
OD) electromagnetic​

Answers

Answer:

Solar energy is a form of Electromagnetic energy

Explanation:

Solar energy is constantly flowing away from the sun and throughout the solar system. Solar energy warms the Earth, causes wind and weather, and sustains plant and animal life. The energy, heat, and light from the sun flow away in the form of electromagnetic radiation (EMR

8. Simple machines make a job easier to perform by
a. decreasing the amount of work
b. decreasing the amount of friction
c. decreasing the amount of force and/or changing the direction of force
d. only lower the amount of force

Answers

Answer:

C

Explanation:

The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be

Answers

The exact same.  gravity has no effect on mass.

Answer:

The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be Less

Explanation:

Question 3 of 5
2 Points
Which term refers to a transfer of thermal energy between objects?
A. Potential energy
B. Kinetic energy
C. Heat
D. Temperature
SUSMIT

Answers

Answer:

Explanation:

Kinetic energy

Answer is kinetic energy

calculate the frequency of a wave that is traveling at a speed of 3.0 m/s and has a wavelength of 1.2m

Answers

Answer:

2.5 Hz

Explanation:

3.0m/s / 1.2 m=2.5 1/s=2/5 Hz

The frequency of a wave with speed of 3.0 m/s and has a wavelength of 1.2m is 2.5 Hz.

What is frequency?

The frequency of a wave is the number of cycles per second.

Given the wavelength is 1.2 m and speed v =3.0m/s, then the frequency of the wave is

v =fλ

f = 3 / 1.2

f = 2.5 Hz

Thus, the frequency of the wave is 2.5 Hz.

Learn more about frequency.

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a care starting from rest has an acceleration 0.3 m/s square, calculate the velocity and distance travelled by this car after 2 minutes?

Answers

Answer:

Final velocity (v) = 36 m/s

Distance traveled (s) = 2,160 m

Explanation:

Given:

Initial velocity (u) = 0

Acceleration (a) = 0.3 m/s

Time travel (t) = 2 minutes = 120 seconds

Find:

Final velocity (v) = ?

Distance traveled (s) = ?

Computation:

v = u + at

v = 0 + 0.3(120)

v = 0.3(120)

v = 36 m/s

Final velocity (v) = 36 m/s

Distance traveled (s) = ut + (1/2)at²

Distance traveled (s) = (0.5)(0.3 × 120 × 120)

Distance traveled (s) = 2,160 m

Explain two applications of resonance

PLEASEEEE HELP ME! ​

Answers

Answer:

in physics, resonance is a phenomenon in which a vibrating system or external force drives another system to oscillate with greater amplitude at specific frequencies. example a familiar example is a playground swing, which acts as a pendulum.

hope this helped!

When heat is converted into another form of energy, the total amount of energy is constant. Which law best illustrates this statement?
A.
the first law of thermodynamics
B.
the second law of thermodynamics
C.
the third law of thermodynamics
D.
none of the above

Answers

Answer:

A

Explanation:

This is the first law of thermodynamics and it's called the law of conservation of energy

Answer : A


explanation :



A tow truck is pulling 25,000 kg van with a tow hook that meets the van at an angle of 30° with the ground. How much force must the tow trucl use to pull the van with an initial acceleration of 3m/s2...!?

Answers

Answer:

86605.08 N

Explanation:

The equation to calculate the force is:

Force = mass * acceleration

The force and the acceleration does not have the same direction in this case, so we need to decompose the force into its horizontal component, which is the force that will generate the horizontal acceleration:

Force_x = Force * cos(30)

Then, we have that:

Force_x = mass * acceleration

Force * cos(30) = 25000 * 3

Force * 0.866 = 75000

Force = 75000 / 0.866 = 86605.08 N

Las ruedas de una locomotora de 500 toneladas tiene un coeficiente de friccion estatico con las vias de 0.15 ¿Cual es la fuerza de traccion tangencial maxima ejercida entre las vias y las ruedas?

Answers

Answer:

Ff = 7.35*10^5 N

Explanation:

To find the maximum transverse pulling force you use the following formula, for the friction force:

[tex]F_f=\mu N=\mu Mg[/tex] (1)

μ: friction coefficient = 0.15

N: normal force, which is equal to the weight over the wheel

M: mass of th train = 500 ton = 500 000 kg

g: gravitational acceleration = 9.8 m/s^2

You replace the values of the variables in the equation (1):

[tex]F_f=(0.15)(500000kg)(9.8m/s^2)=735000 N=7.35*10^5N[/tex]

hence, the maximum transverse pulling force is 7.35*10^5 N

A force acting on a body of mass 200g displace it through 200cm in 5s. Find the magnitude of the force if the initial velocity of is Zero​

Answers

Answer:

F = 0.32 N

Explanation:

GIVEN:

Mass = m =  200 g = 0.2 kg

Distance = S = 200 cm = 2 m

Time = t = 5 s

Initial velocity = U = 0 m/s

REQUIRED

Force = F = ?

SOLUTION

Using Second Equation of Motion,

S = Ut + 1/2 at²

2 = (0)(5) + 1/2 a(5)²

2 = 25/2 a

a = 4/25

a = 0.16 m/s²

So,

Acceleration = a = 0.16 m/s²

Now Using Equation from Newtons Second Law of Motion

F = ma

F = (2)(0.16)

F = 0.32 N

In simple terms describe diffraction, refraction and reflection. Give examples for each.​

Answers

Answer:

Refraction is the bending of life an example would be how when you put a straw in a glass and it looks like the straw gets detached from itself. Reflection is when light bonces off of something an example would be a mirror.

Explanation:

The way a mirror works is the light you see bounces off of the glass and gives your optical sensors the vision of what the glass reflected.

Answer:

Diffraction , refraction and reflection all are property of light that shows its wave nature.

Explanation:

What is diffraction?

When a light ray passes through a narrow single slit , the superposition of secondary wavelets produced by the same source , is called diffraction.

Example ; Single slit experiment in which the diffraction shows maxima and minima .

What is refraction ?

The banding of light due to variation in the speed of light when it travels from one medium to another is called refraction.

Example; Divergence or convergence by lenses.

What is reflection ?

The bouncing back of light from a surface is called reflection.

Example : Mirrors.

Hence all the given topics are explained.

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Which of the following is equal to an impulse of 9 units?
A. Force = 5, time = 2
B. Force = 1, time = 8.5
C. Force = 2, time = 4.5
D. Force = 3, time = 2

Answers

Answer: C. (Force = 2, time = 4.5)

Explanation:

J = FΔt

A. J = 5*2

A. J = 10

B. J = 1*8.5

B. J = 8.5

C. J = 2*4.5

C. J = 9

D. J = 3*2

D. J = 6

Answer:

C. (Force = 2, time = 4.5)

If kinetic energy of a body is increased by 125%, the percentage increase in Momentum is?

Answers

Answer:

50 %

Explanation:

It's Fifty percent

right auricale is bigger then left aurical, why?

Answers

Explanation:

Veins carry deoxygenated blood from different parts of the body to our heart. ... Since a larger volume of blood is collected in the right auricle than that of the left auricle, right auricle is larger than the left auricle.

Which of the following machines most likely has the greatest efficiency?
a
A. Airplane
B. Automobile
C. Bicycle
D. Human body

Answers

Im guessing airplane

Which is an example of transforming potential energy to kinetic energy? Select two options
changing thermal energy to electrical energy
changing chemical energy to thermal energy
changing nuclear energy to radiant energy
changing radiant energy to electrical energy
changing mechanical energy to chemical energ

Answers

Answer :

.changing chemical energy to thermal energy

.changing nuclear energy to radiant energy

Explanation :

Hope it helps you mate ))

Answer:

.changing chemical energy to thermal energy

.changing nuclear energy to radiant energy

Explanation:

100 joule of heat produced each 1 secomd on 4ohm find the potential difference ​

Answers

Answer:

20 V

Explanation:

Power is 100 J/s or 100 W.

We know that P = IV = [tex]\frac{V^{2} }{R}[/tex] .

Isolate the potential difference. V = [tex]\sqrt{RP}[/tex] = [tex]\sqrt{100 * 4}[/tex] = 20 V

Which of the following has more inertia: (a) a rubber ball and a stone of the same size? (b) a bicycle and a train? (c) a five-rupees coin and a one-rupee coin?​

Answers

Answer:  (b) a bicycle and a train

Inertia is the same thing as mass, more or less. Inertia is the tendency of the object to want to stay in place if at rest, or the object's tendency to stay in motion if a force is applied to it. A train's inertia is massive because it takes a lot of force to move such a large mass, or to slow it down. This is in comparison to the other objects (rubber ball, stone, bike, and the coins).

Answer:

Inertia is the measure of the mass of the body. The greater is the mass of the body; the

greater is its inertia and vice-versa.

(a) Mass of a stone is more than the mass of a rubber ball for the same size. Hence, inertia of

the stone is greater than that of a rubber ball.

(b) Mass of a train is more than the mass of a bicycle. Hence, inertia of the train is greater

than that of the bicycle.

(c) Mass of a five rupee coin is more than that of a one-rupee coin. Hence, inertia of the five

rupee coin is greater than that of the one-rupee coin.

Which of the following does NOT use a turbine?
A. Windmills
B. Nuclear power plants
C. Solar panels
D. Geothermal generation station

Answers

Answer:

laa a

Explanation:poque usairea  ye aire tienfe luza preopia mkr

Answer:

Solar Panels

Explanation:

40 POINTS!!! + BRAINLIEST!!!

In your own words, explain how a pendulum demonstrates the concepts of the conservation of energy. (1 or 2 sentences long)

Answers

Answer:

I think it is better if you read and shortly write my explanation

Explanation:

simple pendulum with no friction, mechanical energy is conserved. Total mechanical energy is a combination of kinetic energy and gravitational potential energy. As the pendulum swings back and forth, there is a constant exchange between kinetic energy and gravitational potential energy.

Which of the following characterizes the particles in this diagram?

A. Two positive charges
B. One positive charge and one negative charge
C. Two negative charges
D. Two neutral charges

Answers

Answer:

B

Explanation:

One positive charger and one negative charger

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