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Morgarella [4.7K]
2 years ago
14

A parallel-plate capacitor has a charge Q and plates of area A. What force acts on one plate to attract it toward the other plat

e? Because the electric field between the plates is E 5 Q /Ae0, you might think the force is F 5 QE 5 Q2/Ae0. This conclusion is wrong because the field E includes contributions from both plates, and the field created by the positive plate cannot exert any force on the positive plate. Show that the force exerted on each plate is actually F 5 Q2/2Ae0. Suggestion: Let C 5 e0A/x for an arbitrary plate separation x and note that the work done in separating the two charged plates is W 5 e F dx.
Physics
1 answer:
Setler79 [48]2 years ago
8 0

Answer:

F=\dfrac{Q^2x}{2\varepsilon _0A}

Explanation:

Given that

Charge = Q

Area =A

Electric filed =E

We know that

F=\dfrac{dU}{dx}

U=Energy

We know that energy in capacitor given as

U=\dfrac{Q^2}{2C}

C=\dfrac{\varepsilon _oA}{x}

U=\dfrac{Q^2x}{2\varepsilon _0A}

So

Force F

F=\dfrac{Q^2x}{2\varepsilon _0A}

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26. Keenan found the mass of a book to be 4.56*10^ -2 kg . What is the mass of the book in milligrams?​
vagabundo [1.1K]

Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.

First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.

Having three known values ​​and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.

If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values ​​and x is the unknown to calculate:

a → b

c → x

So: x=\frac{cxb}{a}

Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?

1 kg → 1000000 milligrams

4.56×10⁻² kg  → x

So:

x=\frac{4.56x10^{-2} kg x1000000 miligrams }{1 kg}

<u><em>x=45600 miligrams</em></u>

In summary, the mass of the book is 45600 miligrams.

Learn more:

  • <u>brainly.com/question/4805238?referrer=searchResults</u>
  • <u>brainly.com/question/5025657?referrer=searchResults</u>
7 0
3 years ago
You are wearing earbuds or headphones to listen to your music but your family members can hear it as well. They tell you that it
allsm [11]

If it’s loud enough for your family to hear it, it’s best you turn it down. It could cause permanent damage to your ear drums if it’s loud enough and you could start to lose your hearing. So if your family were to tell you to turn it down, you should probably just turn it down!

5 0
3 years ago
I need someone smart!
Ivanshal [37]

Answer:

If we are looking for evidence of something that exists outside of our visible Universe and leaves no trace within it, it seems that the idea of a Multiverse is fundamentally untestable.  But there are all sorts of things that we cannot observe that we know must be true. Decades before we directly detected gravitational waves, we knew that they must exist, because we observed their effects.

Explanation:

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5 0
2 years ago
Read 2 more answers
Two asteroids identical to those above collide at right angles and stick together; i.e, their initial velocities were perpendicu
11111nata11111 [884]

Answer:

velocity = 62.89 m/s  in 58 degree measured from the x-axis

Explanation:

Relevant information:

Before the collision, asteroid A of mass 1,000 kg moved at 100 m/s, and asteroid B of mass 2,000 kg moved at 80 m/s.

Two asteroids moving with velocities collide at right angles and stick together. Asteroid A initially moving to right direction and asteroid B initially move in the upward direction.

Before collision Momentum of A = 1000 x 100 = $ 10^5$ kg - m/s in the right direction.

Before collision Momentum of B = 2000 x 80 = 1.6 x $ 10^5$  kg - m/s in upward direction.

Mass of System of after collision = 1000 + 2000 = 3000 kg

Now applying the Momentum Conservation, we get

Initial momentum in right direction = final momentum in right direction = $ 10^5$

And, Initial momentum in upward direction = Final momentum in upward direction = 1.6 x $ 10^5$

So, $ V_x = \frac{10^5}{3000} $  = $ \frac{100}{3} $  m/s

and $ V_y=\frac{160}{3}$  m/s

Therefore, velocity is = $ \sqrt{V_x^2 + V_y^2} $

                                   = $ \sqrt{(\frac{100}{3})^2 + (\frac{160}{3})^2} $

                                   = 62.89 m/s

And direction is

tan θ = $ \frac{V_y}{V_x}$     = 1.6

therefore, $ \theta = \tan^{-1}1.6 $

                   = $ 58 ^{\circ}$  from x-axis

4 0
3 years ago
What is 0.0025 m^2 in cm^2? 1m = 100cm.
PSYCHO15rus [73]

Answer:

25 cm²

Explanation:

Meters and centimeters are both the units for measuring length. The SI unit of measuring length is meters.

Area is the quantity which measures the cross-section occupied by the object.

Thus,

Given that = Area = 0.0025 m²

To convert into cm²

1 m = 100 cm

So, 1 m² = 10000 cm²

So,

<u>Area = 0.0025 × 10000 cm² = 25 cm²</u>

6 0
2 years ago
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