A parallel plate capacitor of capacitance Co has plates of area A with separation d between them. When it is connected to a battery of voltage Vo, it has charge of magnitude Qo on its plates. It is then disconnected from the battery and the plates are pulled apart to a separation 2d without discharging them. After the plates are 2d apart, the new capacitance and the potential difference between the plates are: (Show all steps) [2 marks] a. ½ Co, ½ Vo b. ½ Co, 2Vo c. Co, Vo d. Co, 2Vo e. 2Co, 2Vo

Answers

Answer 1

Answer:

b. 1/2·C₀, 2·V₀

Explanation:

The capacitance on the parallel plate capacitor = C₀

The area of the plates  = A

The voltage on the battery = V₀

The magnitude of the charge on the plate = Q₀

The new distance between the plates = 2·d

From an online physics source, we have;

[tex]C_0 = \epsilon_0 \times \dfrac{A}{d}[/tex]

Where;

ε₀ = Constant

A = The area of the plates

With the new distance, 2·d, we get;

[tex]C_{new} = \epsilon_0 \times \dfrac{A}{2\cdot d} = \dfrac{1}{2} \times \epsilon_0 \times \dfrac{A}{d} = \dfrac{1}{2} \times C_0[/tex]

Therefore;

[tex]The \ new \ capacitance \ C_{new} = \dfrac{1}{2} \times C_0[/tex]

The potential difference, 'V', is given as follows;

[tex]C = \dfrac{Q}{V}[/tex]

Therefore;

[tex]V = \dfrac{Q}{C}[/tex]

Given that Q = Q₀, we get;

[tex]V = \dfrac{Q_0}{\dfrac{1}{2} \times C_0} = 2 \times \dfrac{Q_0}{C_0} = 2 \times V_0[/tex]

∴ V = 2 × V₀

The new potential difference, V = 2·V₀

Therefore, after the plates are 2·d apart, the new capacitance and potential difference between the plates are;

1/2·C₀, 2·V₀.

Answer 2

At a distance of 2d, the potential difference will be twice the potential difference before while the capacitance will be half the value before.

Given to us

The capacitance on the parallel plate capacitor = C₀The area of the plate = AThe voltage on the battery = V₀The magnitude of the charge in the plate = Q₀The new distance between the plates = 2d

What is Capacitance?

We know capacitance can be written as,

[tex]C= \dfrac{\epsilon_0 A}{d}[/tex]

where C is the capacitance,

A is the area,

d is the distance and

ε₀ is the electrostatic constant,

Capacitance before,

[tex]C= \dfrac{\epsilon_0 A}{d}[/tex]

Capacitance Afterwards,

[tex]C= \dfrac{\epsilon_0 A}{2d}[/tex]

[tex]C=\dfrac{1}{2} \times \dfrac{\epsilon_0 A}{d}[/tex]

[tex]C=\dfrac{1}{2} \times C_0[/tex]

What is Voltage(Potential difference)?

We know that  for the voltage we can write,

[tex]\rm Voltage = \dfrac{Charge}{Capacitance}[/tex]

Voltage before

[tex]V=\dfrac{Q_0}{C_0}[/tex]

Voltage Afterwards

[tex]V_{new} = \dfrac{Q_0}{C_{new}}[/tex]

[tex]V_{new} = \dfrac{Q_0}{\dfrac{1}{2} \times C_0}[/tex]

[tex]V_{new} = 2 \times\dfrac{Q_0}{C_0}[/tex]

[tex]V_{new} = 2 \times V_0[/tex]

Hence, At a distance of 2d, the potential difference will be twice the potential difference before while the capacitance will be half the value before.

Learn more about Capacitance:

https://brainly.com/question/12356566


Related Questions

Wax, like all matter, comes in many phases. What are the three possible
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D. Solid
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Answers

Answer:

A and d

Explanation:

Mixture and solid

NEED HELP What is the energy transformation process when using a battery powered flashlight?Single choice.
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hope it is helpful to you

2nd grade work. Anyone?
Which of these can move without being pushed or pulled?
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bubble gum

Answers

Answer:

A. shadow

Explanation:

Answer: A is the correct answer!

Explanation:

What makes the results of a scientific experiment accurate? (5 points)

Answers

Answer:

A measurement is reliable if you repeat it and get the same or a similar answer over and over again, and an experiment is reliable if it gives the same result when you repeat the entire experiment.

Explanation:

Answer: when you repeat it and get the same results

Explanation:

When a scientist repeats an experiment with a different group of people or a different batch of the same chemicals and gets very similar results then those results are said to be reliable. Reliability is measured by a percentage – if you get exactly the same results every time then they are 100% reliable.

An astronaut wandering the solar system encounters a 726 kg steel block resting

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the steel block in motion across the surface requires a force of 4930 N. On

which planet is this astronaut wandering? Support your answer with calculations.

Answers

Answer:

Therefore the planet is Saturn .

Explanation:

Let acceleration due to gravity be g .

weight on the planet = 726 g

Frictional force = μs mg

= .65 x 726 x g

This force is equal to 4930 N .

.65 x 726 x g = 4930 N .

g = 10.44 .

Therefore the planet is Saturn .

An object with a mass of 1298 kg is accelerating at a rate of 17 m/s² when a net force is applied to it. What is the magnitude of the net force that is acting on the object?

Answers

Answer:

Explanation:

This is a simple F = ma equation. We have the mass and we have the acceleration, so

F = 1298(17) and

F = 22066 which rounds correctly to

F = 22000N

The magnitude of the net force of object with a mass of 1298 kg is accelerating at a rate of 17 m/s² is 22066N

HOW TO CALCULATE NET FORCE:

The net force of a body can be calculated by multiplying the mass of the body by its acceleration. That is;

Force (N) = mass (kg) × acceleration (m/s²)

According to this question, an object with a mass of 1298 kg is accelerating at a rate of 17 m/s². The net force can be calculated as follows:

F = 1298Kg × 17m/s²

F = 22066N

Therefore, the magnitude of the net force of object with a mass of 1298 kg is accelerating at a rate of 17 m/s² is 22066N.

Learn more at: https://brainly.com/question/23245710?referrer=searchResults

Please please help me :)

Answers

Answer:

Explanation:

2) From F=ma

Force =15×40=600N or kgm/s2

3)From the same equation making acceleration the subject of the formula will give

a=f÷m

=24÷4=6m/s2

4)m=f÷a

=45÷15=3kg

.
Look at the circuit diagram. What type of circuit is shown?

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closed series circuit

open parallel circuit

open series circuit

Answers

Closed series circuit.

ASAP!!!!!! I need help is my final

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Answer:

bro the answer would be 15m/s north

Explanation:

                                   ;)

What is role of force on the speed of moving object? ​

Answers

Explanation:

this is the ans hope it works

Answer:

Forces make things speed up (or accelerate). When a force pushes or pulls the object, the object will move in the direction of the force. The bigger the force, and the lighter the object, the greater the acceleration.

Explanation:

The action from a force can cause an object to move or speed up (accelerate), to slow down (decelerate), to stop, or to change direction. Since any change in velocity is considered acceleration, it can be said that a force on an object results in the acceleration of an object.

A simple mathematical relationship exists between the mass of an object (m), the net force on the object (f) and its acceleration (a). The acceleration of an object is directly proportional to the net force and indirectly proportional to the object’s mass (a = f/m).

If two lines in a system of linear equations have the same slope and same y-intercept, how many solutions will the system have?

Answers

Answer:

We will have infinite solutions to the system of linear equations.

Explanation:

Well, when we have two lines with the same slopes and the same y-interception, both of them are overlapped, so we will have infinite solutions to the system of linear equations.

This kind of system is called dependent system.

I hope it helps you!

A block attached to an ideal spring oscillates horizontally with a frequency of 2.0 Hz and amplitude of
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What is the mass of the block?

Answers

Answer: 0.47 kg

Explanation:

Which nucleus completes the following equation? ​

Answers

the answer would be cc

Answer:

its b

Explanation:

help asap!
three resistors of 20. ohms, 30. ohms, and 60. ohms, respectively, are connected in series with a battery. a current of 2.0 amperes will flow through this circuit when the potential difference of the battery is a. 20.V b. 220 V c. 110 V d. 10.V.

Answers

Answer:

220 V

Explanation:

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As the resistors are connected in series,

[tex]R_{eq} = r_{1} +r_{2} +r_{3}[/tex]

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= 110 ohms

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Hope it helps

According to the passage, why don’t sharks sink in the water?
A Sharks don’t sink because they eat seals and sea lions.
B Sharks don’t sink because their liver is filled with oil.
C Sharks don’t sink because the water is polluted.
D Sharks don’t sink because they are very light

please help me for 20 points

Answers

Answer:

B

Explanation:

Answer:

B

Explanation:

In contrast to other fish, who have bladders filled with gas, sharks have a liver filled with low-density oil that is similar to vegetable oil. This oil is lighter than water and tends to rise to the top of the water if not contained but because it is in the sharks liver its contained therefor the shark floats!

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Have a nice day

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T
F

Answers

Answer:

True

Explanation:

You can easily determine the charge of transition metal ions in neutral compounds, as long as you know the charge or oxidation state of the atoms that partner with the transition metal.

Answer:

T

Explanation:


What do you think we can learn about Earth's history by looking at the Grand Canyon?

Answers

We can look at all the ages of the earth since it’s a big crack is reveals many layers of the earth and we can know about chemicals and metals that were in earth and diffrent times

I really need help

John's mass is 55kg when he is standing on the edge of a diving
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What is it?

Answers

Answer:

E = 12.9 kJ

Explanation:

Given that,

Mass of John, m = 55 kg

It is standing on the edge of a diving board which is at a height of 24 m.

We need to find his mechanical energy. The mechanical energy of John is equal to its potential energy such that,

E = mgh

E = 55  kg × 9.8 m/s² × 24

E = 12936  J

or

E = 12.9 kJ

So, his mechanical energy is equal to 12.9 kJ.

¿Por qué el Cirque du Soleil es una organización? ¿Qué características tiene?

Answers

-¿Por qué el Cirque du Soleil es una organización? ... Es una organización ya que tiene un fin financiero, un fin que cambio la historia de los circos y que a su paso de los años se hizo un negocio millonario aparte de que se le puede denominar organización ya que cuenta con el talento de cada persona que trabaja ahí.

what produces magnetic fields

Answers

Answer:

B is the answer

Explanation:

Magnetic fields are produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.


Magnetic fields are produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin. As Ampere suggested, a magnetic field is produced whenever an electrical charge is in motion. The spinning and orbiting of the nucleus of an atom produces a magnetic field as does electrical current flowing through a wire. The direction of the spin and orbit determine the direction of the magnetic field.

A sphere of mass m1 is attached to an ideal spring, then pulled downward from its equilibrium position and released from rest. A sphere of mass m2 is hung from a massless string of length L, pulled to the right from its equilibrium position, and released from rest. If both spheres have the same period of oscillation, then what is the spring constant of the spring attached to m1

Answers

Answer:

      k = [tex]\frac{g \ m_1}{L}[/tex]

Explanation:

In this exercise the two cases presented are a simple harmonic motion, with angular velocity

spring - mass                                      w² = k / m₁

simple pendulum (string- mass m₂)  w² = g / L

angular velocity and period are related

              w = 2π/ T

since they indicate that the two periods are equal, the angular velocities are also equal, therefore we can equal the two equations

             [tex]\frac{k}{m1} = \frac{g}{L}[/tex]

             k = [tex]\frac{g \ m_1}{L}[/tex]

consider the circuit. find the equivalent resistance

Answers

Answer: 18 5.0 012

Explanation:

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Answers

Answer:X-ray diffraction (XRD) is the technique most heavily relied on in soil mineralogical analysis. X-ray diffraction is a technique that provides detailed information about the atomic structure of crystalline substances. It is a powerful tool in the identification of minerals in rocks and soils.

Explanation:

XRD is used to identify the minerals composing clay-rich, hydrothermally altered rocks that occur on several Cascade volcanoes. Such rocks are believed to play an important role in the generation of large landslides and mudflows. XRD is used to analyze saline minerals, including borates.

How much gravitational energy does a 65 kg skydiver have 650 m up in the sky?

Answers

Answer:

G.P.E  = 414050 Joules or 414.05 Kilojoules

Explanation:

Given the following data;

Mass = 65 kg

Height = 650 m

We know that acceleration due to gravity is equal to 9.8m/s²

To find the gravitational potential energy;

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

[tex] G.P.E = mgh[/tex]

Where;

G.P.E represents potential energy measured in Joules.m represents the mass of an object. g represents acceleration due to gravity measured in meters per seconds square. h represents the height measured in meters.

Substituting into the equation, we have;

[tex] G.P.E = 65 * 9.8 * 650 [/tex]

[tex] G.P.E = 414050 [/tex]

G.P.E  = 414050 Joules or 414.05 Kilojoules.

what instrument used measure
to volume of water

Answers

Answer: A Graduated Cylinder or A Beaker ?

Explanation:

I think some are beakers or a more specific answer is a hygrometer

Sorry if I am wrong

If F=15 N, a=3 m/s², m=? *

45 Kg
5 kg
0.2 kg
0 kg

Answers

Answer:

5 kg

Explanation:

A 2.24x10^3 kg car slows down uniformly from 20.0 m/s to a stop (assume constant acceleration) via a braking force of 8.41x10^3 N . How far did the car travel during this time?

Answers

Answer:

Explanation: 139 m

hello help me please :)

Answers

Answer: 75 N

Because we're finding the force, we need to use F = ma. M (Mass) = 25 and A (Acceleration) = 3. Multiply 25(3) to get 75. So, you're answer should be 75 N.

Describe the general relationship between the weight of adult men and the average number of Calories needed daily to maintain a steady weight.

Answers

Answer:

The average number of calories needed daily represents the average quantity of calories eliminated by human body due to metabolism and must be compensated by eating and drinking.

The amount of calories contained in the food we eat every day must represent the amount of calories eliminated by the body in that time to have a steady weight.

Explanation:

The average number of calories needed daily represents the average quantity of calories eliminated by human body due to metabolism and must be compensated by eating and drinking. If total quantity of calories in the food we consume every day is higher that the average number of calories needed daily, then weight increases by fat accumulation.

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