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

A squeeze bottle squeezes when pressed. It regains its shape when pressed .It regains its shape when the pressure from your hand is withdrawn. What may happen if the squeeze bottle is pressed to take the sauce out and then immediately corked tightly? Will it regain its shape? If not, Why?

Answers

Answer: It will not regain its shape, because when it is corked it can not replace the volume of material that you just take out of it.

Explanation:

When you squeeze the bottle, you are changing the volume of the bottle, in this process, you are "expelling" the material inside the bottle.

When you stop squeezing, there is a change in pressure, and the bottle "absorbs" air, until the pressure is equilibrated, and in this process, the bottle returns to the original shape.

Now, if you take the sauce out of the bottle and immediately cored it, then you removed the material inside of the bottle and did not let the bottle to "refill" the empty space with air, so it can not regain its shape.

Please LOTS OF POINTS. WILL MARK BRAINLIEST


Calculate the Resulting movement using the formula:
Perpendicular distance x Force

Answers

1]F1*D1=F2*D2

10N×2m=5N*3m

20N=15Nm

The seesaw will turn anti clock wise.

2]

F1*D1=F2*D2

3N*4m=2N*6m

12Nm=12Nm

It will neither rotate toward anti clock wise nor clock wise

A 0.50 kilogram ball is held at a height of 20 meters. What is the kinetic energy of the ball when it reaches halfway after being released?
A.
49 joules
B.
98 joules
C.
1.0 × 102 joules
D.
1.1 × 102 joules

Answers

Answer:

A

Explanation:

Use the conservation of energy formula to calculate the velocity of the ball when it reaches the halfway point (10m down). Then, use your calculated value to obtain the kinetic energy.

Answer:

A. 49 on Plato

Explanation:

Its the right one trust me .

plz help!
A driver in a car moving with the velocity 72km/hr sees a cow on a road 20m ahead. He applies the brake and the car stops in 4 second . Does an accident occur ? After what distance does the car come to rest?​

Answers

72km/hr = 72000m/3600seconds(we convert km/hr to m/s
= 20m/s
Velocity= 20m/s
In 4seconds,distance covered=20x4= 80m
Therefore,an accident occurs because in 4seconds, the car would have moved past 20m

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.

12.0 V car battery has a voltage drop of 3.4 V when the starter draws 93 A of current. What is the resistance of the starter? O 88 m2 84 mg O 80 m2

Answers

Answer:

[tex]R_s = 0.093 \Omega[/tex]

Explanation:

Voltage of the car battery = 12.0 V

Voltage drop in the battery = 3.4 V

The remainder of the voltage is the starter voltage, that is:

Starter voltage = Initial battery voltage - voltage drop

Starter voltage = 12.0 - 3.4

Starter voltage, [tex]V_{s}[/tex] = 8.6 V

Current drawn by starter, [tex]I_s[/tex] = 93 A

According to Ohm's law: [tex]V_s = I_s R_s[/tex]

Starter Resistance, [tex]R_s[/tex] = [tex]V_s/I_s[/tex]

[tex]R_s = 8.6/93\\R_s = 0.093 \Omega[/tex]

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.

1. A Force of 50N acts uniformly over and at night angles to a surface. When
the area of the surface is 5m2, then the pressure on the area is:
A. 250Pa
B. 10Pa
C. 45Pa
D. 55Pa

Answers

Answer:

The answer would be 10 pascal.

Answer:

B. 10Pa

Explanation:

What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (i.E. If you increase one variable what happens to the acceleration?)

Answers

Answer:

1. Unbalanced Force (If you increase force, the acceleration will increase)

2. Mass of Body (If you increase mass, the acceleration will decrease)

Explanation:

According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:

“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”

The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,

   a α F

and,    a α 1/m

where,

a = acceleration

F = Unbalanced Force

m = Mass of Body

So, the acceleration increases when the unbalanced force increase and vice versa.

And the acceleration decreases when the mass of body increase and vice versa.

combining above equations:

a α F/m

a = (Constant)F/m

here,

Constant = 1

therefore,

F = ma

A circuit is made of a battery, a light bulb, and a 2 resistor. The battery has a voltage of 3 volts. When connected, the ammeter reads a current of 1 amp in the circuit. Find the resistance of the light bulb.

Answers

Answer:

3ohms

Explanation:

From Ohm's Law

V = IR

V is that voltage = 3volts

I = current = 1amp

R = resistance in ohms

Putting those values into the above formula.

3volts = 1amp×R

Making R the subject

R = 3/1

R = 3ohms

The resistance of the light bulb is 3ohms.

2Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the charge of Object 1 is one-fourth the original value AND the charge of object 2 is tripled AND the distance separating Objects 1 and 2 is halved, then the new electrostatic force will be _____ units.

Answers

Answer:

The new force becomes 3 times of the initial force.

Explanation:

Let q₁ and q₂ are two charged particles. The force between them is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}\ ......(1)[/tex]

If [tex]q_1'=\dfrac{q_1}{4}[/tex]

and

[tex]q_2'=3q_2[/tex]

Also, r' = r/2

New force,

[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]

Putting all the above values,

[tex]F'=\dfrac{k\dfrac{q_1}{4}3q_2}{(r/2)^2}\\\\F'=3\times \dfrac{kq_1q_2}{r^2}\\\\F'=3F[/tex]

So, the new force becomes 3 times of the initial force.

Technological design leads to the development and innovation of new technologies.
Which statement represents innovation?
O Solar panels have increased in efficiency over the past 20 years.
O The Sun is the primary source of energy for the solar system
O Previous models of a type of car have fewer engine problems.
O Natural selection ensures that only the fittest survive.

Answers

Answer:

Solar panels have increased in efficiency over the past 20 years

Explanation:

Because if efficiency have increased other technologies will be discovered

Answer:

Solar panels have increased in efficiency over the past 20 years

Explanation:

a 1000 kg rhinoceros running at its top speed of 15 m/s has a kinetic energy of a.bc X 10^ J. What are the values of a.b.c. and d?

Answers

Answer:

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Explanation:

Given;

Mass of rhinoceros m = 1000kg

Velocity v = 15m/s

The kinetic energy of the body at this speed is;

K.E = 0.5×mv^2 ........1

Substituting the values of m and v into equation 1;

K.E = 0.5×1000×15^2

K.E = 112500 J

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be





















Answers

Answer:

[tex]v=\sqrt{\frac{ev}{m} }[/tex]

Explanation:

The helium ion has:

a potential difference in vacuum = V,

Charge = 2e

and mass = 4m,

speed = v,

mass = 4m

From electrostatics, the work done is the product of charge and its potential difference.

Therefore, Work done = charge × potential difference = 2e × V = 2eV

This work done is in form of kinetic energy, therefore:

Kinetic energy = 1/2 × mass × speed²

⇒  Work done = Kinetic energy

[tex]2eV=\frac{1}{2} *4m*v^2=2m*v^2\\v^2=\frac{2eV}{2m}\\ v^2=\frac{eV}{m}\\ v=\sqrt{\frac{ev}{m} }[/tex]

Hi can someone help with this:
1) The volume of a gas is 4 m3 when its pressure is 200 kPa. Assuming the temperature does not change, calculate its pressure when the volume is 3 m3 .

2) The pressure of a gas is 1.8 × 105 Pa when its volume is 80 cm3 . Its temperature is constant. Calculate its volume when the pressure becomes 1.2 × 105 Pa.

I'd appreciate if there was working shown

Answers

Answer:

2.67 x10 power5 Pascal

Explanation:

pv=nRT n, R,T--constant

so, p1v1=p2v2

p2=p1xv1/v2


A train starts from its station and it
velocity reaches 200m/s in 5
seconds. What is its acceleration?

a. 400m/s
b. 40m/s2
c. 4.5m/s2
d. Initial velocity is missing​

Answers

Answer:

b. 40m/s2

Explanation:

Acceleration is calculated by dividing velocity over time. Therefore 200m/s by 5s equals 40m/s2

Answer:

B

Explanation:

v = vo + at

200 = 0 + a*5

200 = 5a

a = 200/5 = 40 m/s²

initial velocity (vo) is 0 because it says it start from station

what is gyration length

Answers

Answer:

The gyration length or radius of gyration about an axis is the radial distance from a point which would have the same moment of inertia as the body's actual distribution of mass if the body's total mass were concentrated at a point.

Explanation:

The gyration length appears to be the distance from a point where the whole body appears to be concentrated when it rotates about the point.

The gyration length can be illustrated this way.

Suppose we have a distribution of masses m₁, m₂, m₃,..., mₙ located at points r₁, r₂, r₃,..., rₙ respectively from a point O. Their moment of inertia I about point O is

I = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²

If M = total mass = m₁ + m₂ + m₃ + ... + mₙ

Now I = MR² where R = gyration length

MR² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²

R² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²/M

R = √[(m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²)/(m₁ + m₂ + m₃ + ... + mₙ)]

R = √(∑mr²/∑m)

If the particles have the same mass, m₁ = m₂ = m₃ = ... = mₙ and M = nm. Since m = M/n

R = √[(mr₁² + mr₂² + mr₃² + ... + mrₙ²)/(m + m + m + ... + m)]

R = √[m(r₁² + r₂² + r₃² + ... + rₙ²)/nm]

R = √[(r₁² + r₂² + r₃² + ... + rₙ²)/n]

R = √(∑r²/n)

So the gyration length is the square-root of the sum of individual moment of inertias of the constituent masses divided by the sum of masses or the root mean square of the distances of the particles.

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:

True or false. When populations do not exceed their environment carrying capacity biology communities are stable?

Answers

Answer:
True

Explanation:
Biology communities are stable when populations do not exceed their environments carrying capacity. Their communities are also stable when the resources for survival are sustained.

Answer:

True

Explanation:

A 45-gram object that has a volume of 9 mL has a density of
a. 5 g/mL
b. 54 g/mL
c. 36 g/mL
d. 405 g/mL

Answers

Answer:

 The answer is a. 5g/mL

Explanation:

Given data

mass m= 45g

volume v= 9mL

we know that density=m/v

substituting our given data we have

[tex]density=\frac{45}{9} =5g/mL[/tex]

What is Density?

The Density of a body can be defined as the ratio of mass to volume,

or

Density, mass of a unit volume of a material substance. The formula for density is [tex]Density= \frac{mass}{volume}[/tex],

where d is density,

M is mass, and

V is volume.

Density is commonly expressed in units of grams per cubic centimetre.

Fossil fuels
?
Water cycle
Hydropower
۔۔
Photosynthesis
Sun
2
Nuclear fusion
Plants
A.
Plant life decay

Answers

Answer:

nuclear fusion plants are fossil fuels, if you are asking which of the following is a fossil fuel

Explanation:

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:

Chemical potential energy can be released into
energy
OA) heat
OB) elastic
OC) potential​

Answers

The answer is A) heat.

Answer:

C Potential

Explanation:

Chemical potential energy is a form of potential energy related to the structural arrangement of atoms or molecules. This arrangement may be the result of chemical bonds within a molecule or otherwise. Chemical energy of a chemical substance can be transformed to other forms of energy by a chemical reaction.

A ball is being rolled by a normal push of 1000N. it is opposed by friction which has a force of 0.3kN and air resistance which has a force of 23N. Calculate the resultant force.​

Answers

Answer:

677 N

Explanation:

Let F = normal push force = 1000 N, f = frictional force = 0.3 kN = 300 N and f' = air resistance = 23 N.

Since the frictional force and the air resistance are in the opposite direction the the normal push force, the resultant force R is

R = F - f - f'

= 1000 N - 300 N - 23 N

= 677 N

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 a 5kg ball is rolling to the left and has a momentum of -25kg*m/s what is the velocity (not just speed) of the ball

Answers

Answer:

The velocity of the ball is 5 m/s to the left.

Explanation:

-25kg*m/s divided by 5 kg gives

speed of -5 m/s

The velocity of the ball is 5 m/s to the left.

3. You are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600
miles from
San Francisco. What is your speed in
m/s?

Answers

Answer:

268.22 m/s

Explanation:

An hour into the flight, you are 600 miles from San Francisco.

This sentence says that speed is 600 mi/h.

Now we need to convert it into m/s.

1 mi = 1609.34 m

1 h = 60 min = 60 min *60 s/1min = 3600 s

600 mi/h * 1609.34 m/1 mi * 1h/ 3600s= 600*1609.34/3600 m/s= =268.22 m/s

If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then your speed would have been 600 miles/hour.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

As given in the problem, If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then we have to find your speed,

Total distance traveled from  San Francisco to New York in one hor= 600 miles

speed of the flying plane = distance traveled in one hour time period

                                           = 600 miles/hour

Thus, your speed would have been 600 miles/hour.

Learn more about speed from here,

brainly.com/question/7359669

#SPJ2

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