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

Three dogs scout sparky and dusty are playing with a teddy bear. Scout and sparky are pullung the teddy bear to the left

Answers

Answer:

To the left side.

Explanation:

The teddy bear will move towards the left side because more force is applied by scout and sparky than dusty. The reason for this movement of teddy bear  to the left is due to more force is applied by the two dogs present at the left side of the teddy bear while on the other hand, one dog is present at the right side of teddy bear which applied less force so that's why we can say that the teddy bear moves to the left side rather than to the right side.

The Universal Space Agency wants to know the results of your Sim investigation. Write your report to the lead chemist, explaining why the staff can smell the chocolate bar. Use evidence from your investigation in your explanation.

Answers

Answer:

Condensation can also produce water droplets on the outside of soda cans or glasses of cold water. When warm air hits the cold surface, it reaches its dew point and condenses. This leaves droplets of water on the glass or can. When a pocket of air becomes full of water vapor, clouds form.

Explanation:

25. Suppose there is no unbalanced force acting on a moving object. How will
the object's motion continue?
A. The speed of the object will decrease.
B. The speed of the object will increase.
C. The speed of the object will remain the same.
D. The direction of the object's velocity will change.

Answers

Answer:

C

Explanation:

Grammar is probably one of the most important components of the sciences besides math.

no unbalanced forces means that there is no force left over that cause an acceleration. All the forces are balanced.

So the Speed will not decrease. Not A.

The speed will not increase. Not B

The direction will not be affected. Not D    

The answer is C

Multiple Choice
Which is the best reason to be wary of those you talk to on the Internet?
A. They may not be who they say they are.
B. You don't know where they live.
C. You don't know their favorite foods.
D. They may not be in the same grade as you.

Answers

I would see a you get it right
A they might not be who they say they are

Which of the following could be included in your gamer's creed that would help keep gamers safe?
A. I will work hard and play harder. Games are my life.
B. I will use privacy features that gaming sites provide to ensure I do not share personal information with strangers.
C. I will do whatever I can to win games I play online.
D. I will share the game equally with my friends and family.
swered

Answers

Answer:

The answer is B. I will use privacy features that gaming sites provide to ensure I do not share personal information with strangers.

Explanation:

It keeps you safe online

Answer: the answer is b

Explanation:

Energy can enter and exit which of the following systems?
A. Both open and close
B. Both open and isolated
C. Open Only
C. Isolated only

Answers

Answer:

A. Both open and close

Explanation:

just took the test

Two Brothers are playing soccer on the beach. One brother kicks the ball really hard and the ball lands in the water, about 50 meters from the beach. They wonder if the ball will float back to the beach.

Answers

Answer:

Due to wind and waves of water.

Explanation:

They wonder that the ball will float back to the beach because of the wind and the waves of the water. The wind blows towards the beach which moves the water in the form of waves towards the beach so if the ball lands in the water, it will floats on the surface of water and move towards the beach with the help of wind and waves of the sea. The ball floats on the water due to its lighter weight and lower density as compared to water.

Se dea caer una pelota de basquetbol desde una altura de 90 metros.Calcular: El tiempo en que demorara en caer y a velcidad con la que llega al suelo

Answers

Answer:

1. t = 4.24 s

2. [tex]v_{f} = 42.43 m/s [/tex]

Explanation:

Podemos encontrar el tiempo de caída con la siguiente ecuación:

[tex] v_{f} = v_{0} + gt [/tex]   (1)

En donde:

[tex] v_{f}[/tex]: es la velocidad final de la pelota  

[tex] v_{0}[/tex]: es la velocidad inicial = 0 (se deja caer)

g: es la aceleración debida a la gravedad = 10 m/s²

Debemos hallar primero la velocidad final. Podemos usar la ecuación:

[tex] v_{f}^{2} = v_{0}^{2} + 2gh [/tex]  (2)

En donde:

h: es la altura = 90 m

[tex] v_{f} = \sqrt{2gh} = \sqrt{2*10 m/s^{2}*90 m} = 42.43 m/s [/tex]

Entonces, la velocidad con la que la pelota llega al suelo es 42.43 m/s.

Ahora podemos encontar el tiempo que tarda en caer la pelota resolviendo la ecuación (1) para "t":

[tex] t = \frac{v_{f}}{g} = \frac{42.43 m/s}{10 m/s^{2}} = 4.24 s [/tex]

Por lo tanto, la pelota tarda 4.24 segundos en caer.

Espero que te sea de utilidad!

4. When a key on piano is pressed, a sound is heard. What produces this sound?
A. the vibrating key of the piano
B.
The Vibrating String Of Piano
C. the finger pressing the piano key
D. the air molecules inside the piano

Answers

Answer:

D

Explanation:

since we press the key , air molecules ate presented and sound wave is formed what we hear.

Answer:

B

Explanation:

the vibrating string of piano

Elements in Group____are common alkaline earth metals.
Answer here

Answers

Answer:

Explanation:

k

Answer:

Explanation:

Group 2 consists of the elements in the second column. They all have a combining number (valence number) of 2+ after giving away 2 electrons.They start with Beryllium (element 4 in the periodic table)  and end with Radium (element 88 in the periodic table).

differences between weightlessness in space and weightlessness in earth​

Answers

Answer:

it depends on a person's own weight

Answer:

The gravity is roughly the same. The inverse square law applies to gravity and that means that being 60 miles above Earth is about the same as being on Earth. The thing is, they are going really fast in an orbit and thus falling around the Earth. The weightlessness comes from a sort of cancellation of gravity pulling them down and their going perpendicular to that force. The forces are cancelling and making them relatively “weightless”. It’s not really weightlessness but just an equilibrium reached between the two accelerations of gravity and their motion against the pull of the Earth.

Explanation:

The equation below is used to calculate the mechanical advantage of an ideal wheel and axle.


mechanical advantage =
wheel radius
__________
axle radius


A student compares two wheel-and-axle simple machines. Machine 1 has a wheel radius of 50 centimeters, and an axle radius of 10 centimeters. Machine 2 has a wheel radius of 100 centimeters, and an axle radius of 10 centimeters. What is true of these simple machines’ mechanical advantage?
A.
Machine 1’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 2.

B.
Machine 1’s mechanical advantage is greater, which means that this machine can move faster than Machine 2.

C.
Machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

D.
Machine 2’s mechanical advantage is greater, which means that this machine can move faster than Machine 1.

Answers

Answer:

b

Explanation:

Machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

Mechanical advantage

The term mechanical advantage is the ratio of the radius of wheel to the radius of the axle for a wheel and axle system.

The true statement about the two machines that were compared; 1 and 2 is that, machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

Learn more about mechanical advantage:https://brainly.com/question/16617083

#SPJ2

Describe how an oscilloscope should be used to measure the frequency of the sound wave from the sonometer

Answers

Answer:

            T = reading (cm) time base (s / cm)

            f = 1 / T

Explanation:

An oscilloscope is a piece of equipment that allows you to visualize and measure a wave that reaches you, in the case of having a sonometer this transforms the sound wave into an electrical signal to be introduced through one of the voltage channels of the equipment, on the screen we will see the oscillating alternating signal, if it is fixed we can make the reading, if it is moving the time base and the trigger must be adjusted to stop it.

In the oscilloscope we can read the period of the signal, this is the time it takes for the signal to repeat itself with this value, we can calculate the frequency with the formula, for the reading of the period the distance is measured on the labeled screen and multiplied by the time base

         

            T = reading (cm) time base (s / cm)

            f = 1 / T

PLEASE HELP THIS IS BIG. ITS 2ND GRADE WORK BTW. HELP FOR CROWN AND POINTS!!!!

What did Ben Franklin show with his famous kite experiment?
that lightning is electricity
how sounds could be recorded
that electromagnetic waves could be found and turned into sound energy
how to create a battery

Answers

Answer:

your answer is A

Explanation:

brainliest plzzzz

Answer:

c is the correct answer

Which of the following are true about electrons? a.) They are positively charged b.) They are negatively charged c.) They are found inside the nucleus d.) a & c

Answers

Answer:

A and C

Explanation:

BRAINLIEST PLS

Answer:

b

Explanation:

The answer is b.. because the charge of electrons is opposite to that of protons.. the combination of the equal number of protons and electrons has a total charge of zero(0)....

sheet of paper and a ball having same mass are dropped from the same height and obviously paper balls faster than a sheet of paper. what conclusion can be drawn from this acticity?​

Answers

Answer:

In free fall, all items will fall at the same time. You were told that they have the same mass hence g×t which is constant.

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).

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