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zhuklara [117]
2 years ago
15

How much energy is stored in the electric field of a 50-μm-diameter cell with a 7.0-nm-thick cell wall whose dielectric constant

is 9.0?
Physics
2 answers:
Nady [450]2 years ago
7 0
:<span>  </span><span>Under the assumption that a cell is made up of two concentric spheres you find the surface are of the inside sphere which will be your A. 

You already have your separation and dielectric constant so just use the formula you stated towards the end of your question and you get 8.93x10^-11 Farads which is about 89pF</span>
hichkok12 [17]2 years ago
3 0

The capacitance of the capacitor will be \boxed{8.9\times10^{-11}\text{ F}} or \boxed{89\text{ pF}}.

Explanation:

Given:

The diameter of the plates of the capacitor is 50\,\mu\text{m}.

The distance between the plates is 7\text{ nm}.

The dielectric constant of the medium is 9.0.

Concept:

The two conducting plates kept parallel to each other and placed at a particular distance from one another are considered to be the parallel plate capacitor.

The capacitance of the parallel plates capacitor formed by the two plates is given by the expression:

\boxed{C=\dfrac{K\epsilon_0A}{d}}

Here, C is the capacitance of the plates, K is the dielectric constant of the medium, \epsilon_0 is the permittivity of free space, A is the area of the plates and d is the distance between the plates.

The area of the plates is:

\begin{aligned}A&=\pi R^2\\&=3.14\times(25\times10^{-6})^2\\&=1.96\times10^{-9}\text{ m}^2\end{aligned}

Substitute the values in equation of capacitance.

\begin{aligned}C&=\dfrac{9.0\times8.85\times10^{-12}\times1.96\times10^{-9}}{7.0\times10^{-9}}\\&=8.9\times10^{-11}\text{ F}\\&=89\text{ pF}\end{aligned}

Thus, The capacitance of the capacitor will be \boxed{8.9\times10^{-11}\text{ F}} or \boxed{89\text{ pF}}.

Learn More:

1. Change in momentum due to its collision: brainly.com/question/9484203  

2. Type of mirror used by dentist: brainly.com/question/997618  

3. Energy density of the energy stored between the plates of capacitor brainly.com/question/9617400

Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Capacitor

Keywords:

capacitor, capacitance, electric, parallel, plates, particular distance, dielectric constant, permittivity, area of the plates.

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The Potential energy stored in the system is 1 J

<u>Explanation:</u>

Given-

Mass, m = 4 kg

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Distance, x = 5cm = 0.05m

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We know,

Change in potential energy is equal to the work done.

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U = \frac{1}{2} k (x)^2\\\\

By plugging in the values we get,

U = \frac{1}{2} * 800 * (0.05)^2\\ \\U = 400 * 0.0025\\\\U = 1J\\

Therefore, Potential energy stored in the system is 1 J

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3 years ago
A jogger runs at a constant rate of 10.0 m every 2.0 seconds. The jogger starts at the origin and runs in the positive direction
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Answer:

(a) 25 m

(b) 75 m

Explanation:

Given that the jogger runs at a constant rate of 10.0 m every 2.0 seconds.

So, the speed of the jogger,

v=\frac{10}{2}=5m/s\;\cdots(i)

Let d be the distance covered by him in time, t s.

As distance=(speed) x (time)

So, d=vt

From equation (i)

\Rightarrow d=5t\;\cdots(ii)

As the jogger starts from origin, so, the distance, d, also represents the position of the jogger at the time t s.

The position-time graph has been shown.

(a) From equation (ii), for t=5.0 s

d=5\times 5=25 m

So, the jogger is at a distance of 25 m from the origin.

(b) Similarly, for t=15.0 s

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So, the jogger is at a distance of 75 m from the origin.

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erik [133]

Answers :

1. All points of a conductor are at the same potential. - True

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Which explains the information needed to calculate speed and velocity?
Anestetic [448]

Both require time, but velocity requires displacement and speed requires distance.

Explanation:

Speed and velocity are two different quantities. In fact:

- Speed is a scalar quantity, which gives a measure of how fast an object is moving, regardless of its direction. Therefore, it only has a magnitude, which is given by the ratio between distance covered and time taken:

s=\frac{distance}{time}

Therefore, speed does not take into account the direction of motion.

- Velocity, on the other hand, is a vector quantity, so it has magnitude and a direction.

The magnitude of the velocity is given by

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The direction of the velocity corresponds to the direction of the displacement.

It must be noted also that in certain situations, the average velocity is zero, while the speed is not zero: for example, for an object completing a circle in a certain time interval, its speed is not zero, while its velocity is zero (because the object returns to the starting point, so the displacement is zero.

Therefore, the correct answer is

Both require time, but velocity requires displacement and speed requires distance.

Learn more about speed and velocity:

brainly.com/question/8893949

brainly.com/question/5063905

brainly.com/question/5248528

#LearnwithBrainly

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