Two large parallel metal plates carry opposite charges. They are separated by 85mm. The work done by the field is 6x10-3J and its field exerts on a particle with charge +8µC. Calculate the surface charge density on each plate.

Answers

Answer 1

Answer:

The surface charge density is [tex]7.8\times10^{-8} C/m^2[/tex].

Step-by-step explanation:

separation, d = 85 mm

Work, W = 6 x 10^-3 J

charge , Q = 8µC

The potential difference is given by

W = q V

[tex]V=\frac{6\times 10^{-3}}{8\times 10^{-6}}=750 V[/tex]

Let the charge on he capacitor is q.

[tex]q = CV\\\\q = \frac{\varepsilon oA}{d}\times V\\\\\frac{q}{A} = \frac{8.85\times 10^{-12}\times750}{0.085} =7.8\times10^{-8} C/m^2[/tex]


Related Questions

It's a quartile question.

Answers

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS

Answers

Answer:

RS = 2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )

A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?

Answers

90% off means is is selling for 10% of the original price.

Multiply original price by 10%

107 x 0.01 = $10.70

It is selling for $10.70


Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge

Answers

C. To emphasize a dangerous situation

Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to the grocery store with her mother 9 times. Write an expression using rational numbers to show how much money Morgan borrowed from her mother. Then determine how much Morgan owes her mother.

Answers

Answer:

The money borrowed by Morgan is $ 3.15.

Step-by-step explanation:

Money borrowed by Morgan to buy chips = $ 0.35

Number of times goes to the station = 9

Money borrowed by Morgan in 9 time visit to station

= 9 x $ 0.35

=$ 3.15

1.
Find the least common multiple.
20 and 12

Answers

Answer:

answer 60

Step-by-step explanation:

The LCM(12, 20) = 60.

Please help me kitty

Answers

Answer:

Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.

Answer:

Hi how are you will u friendship with me plz

an angle is 21 degree more than twice its complement find it
QUICK
ASAP now before tomorrow Please

Answers

Answer: 67°

Step-by-step explanation:

Complementary angle refers to the angle that when added together will be equal to 90°.

Let the measurement of the angle's complement be x.

Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,

x + 2x + 21 = 90

3x + 21 = 90

3x = 90 - 21

3x = 69

x = 69°/3

x = 23°

Therefore, the angle will be:

= 2x + 21

= 2(23°) + 21°

= 46° + 21°

= 67°

The angle is 67°.

The function of f is defined by f(x)=x²-2x-24, find the range of f​

Answers

Answer:

[-25, ∞) , {y|y ≥ -25}

Step-by-step explanation:

^^^

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
24 yd
30 yd
35 yd
16 yd
18 yd
38 yd​

Answers

Answer:

The length of the missing side is 18yd

Step-by-step explanation:

Sq30 - Sq 24 = Sq (x)

Solve for x.
3:12 = x:16
64
4
2 1/4

Answers

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

12

3

16

x

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)

HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches

Answers

Answer:

3.8 inches

Step-by-step explanation:

12 = 2 x 22/7 x r

84= 2 x 22 x r

42 = 22r

r = 1.9

2r = 3.8inches.

diameter is twice the radius

diameter = 3.8 inches

hope its right. good luck!

Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654​

Answers

Step-by-step explanation:

câu trả lời là trong hình ảnh trên

One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?

Answers

Answer:

The first number (x) = 8

Step-by-step explanation:

Let x = the first number

Let y = the second number

x = 3*y - 4

2x + 3 - 2y = 11        Subtract 3 from both sides

2x - 2y = 11 - 3

2x - 2y = 8              Divide by 2

x - y = 4                   Add y to both sides

x = y + 4                  Now go back to the very first equation. Substitute for x

y + 4 = 3y - 4          Subtract y from both sides

4 = 3y - y - 4

4 = 2y - 4                Add 4 to both sides

4 + 4 = 2y

8 = 2y                     Divide by 2

8/2 = y

y = 4

x = 3y - 4

x = 3*4 - 4

x = 12 - 4

x = 8

analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.

(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.

(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.

(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.

Use the above illustration to answer your question.

Answer:

C: Both distributions are skewed right.

Step-by-step explanation:

two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO​

Answers

Answer:

ss

Step-by-step explanation:

s

please answer this !!!
5x + 100​

Answers

x = 16°

Step-by-step explanation:

The sum of angles in a straight line = 180°

Therefore

5x + 100° = 180°

5x = 180° - 100°

5x = 80°

x = 80/5

x = 16°

X would equal sixteen.

Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.

Answers

2,4,6,8,10,12,14,16,18,20,22,24!.. so 2 x 12= (24).....

How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep

Answers

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

Given that, We are laying a concrete border around a circular pond.  The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

The area of the concrete border

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

The concrete needs to be 50 millimetres deep.

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

We are using premixed bagged concrete.

1 cubic metre requires 106 x 20 kg bags.

So For the number of bags

106 * 2.8275 = 299.715 ≈ 300bags

300 bags of 20 kg of premixed concrete We need

given the function k(x) = 3x -2, k(4) equals?

Answers

Answer:

10

Step-by-step explanation:

3(4) -2 = 12 - 2 = 10

look at the image for the question

Answers

Answer:

Answer is y = 6

Step-by-step explanation:

Solve for y.

Answer:

Y=6 I think but I’m not positive.

sorry if I’m wrong.

haha

get it? POSITIVE?

Solve for x. Leave your answer in simplest radical form.

Answers

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]

note :

p = perpendicular / opposite sideb = base / adjacent sideh = hypotenuse

let's solve for " y² " first ( square of other missing side )

[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]

[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]

[tex]➢ \: \: {y}^{2} = 73[/tex]

now let's solve for " x " , by using pythagorous theorem

[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]

[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]

[tex]➢ \: \:x {}^{2} = 109[/tex]

[tex]➢ \: \: x = \sqrt{109} [/tex]

Approximate :

[tex]➢ \: \: 10.44 \: \: units[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

help pls help pls help

Answers

Answer:

18.6

Step-by-step explanation:

We know a side and a angle opposite of that side

(AC and Angle B respectively).

We know another side(AB). and are trying to find a angle opposite of it.

Let use Law of Sines rules.

[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]

Substitute the values in.

[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]

Solve for sin x by taking the reciprocal of both sides.

[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]

Remeber sin 90 =1 and multiply 7 by both sides.

[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]

Take the inverse of sin to find the angle measure.

[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]

The answer is

18.6

Which expression is equivalent to m² - 13m - 30?​

Answers

Answer:

[tex](m−15)(m+2)[/tex]

Step-by-step explanation:

[tex] m² - 13m - 30?[/tex]

Formula :

[tex] {x}^{2} +bx+c[/tex]

[tex](m−15)(m+2)[/tex]

Hope it is helpful...

A square pyramid has base edges of 4 cm and a slant height of 10 cm, what is its
surface area?
a. 96 cm2
b. 193 cm2
c. 240 cm2
d. 272 cm

Answers

Answer:

96 cm 2

Option A is the correct answer

Step-by-step explanation:

Please mark me as Brainliest

If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?

students

Answers

Answer:

The answer is 74

Step-by-step explanation:

First you need to find the number of student in total so just multiply 26 by 3 which is 78.

Then after since there are 4 students absent subtract 4 from 78 which is 74.

URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.

Answers

In the second quadrant, both cos and tan are negative while only sin is positive.

To find tan, we will use the following property below:

[tex] \large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}[/tex]

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

[tex] \large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }[/tex]

Since tan is negative in the second quadrant. Hence,

[tex] \large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}[/tex]

Answer

tan = -√5/2

Which property is shown in the matrix addition below?
0 -5.5
0
5.5
0
0
6
19.4 +-6
-6 -19.4
0
0
0
0
0
0
0 0

Answers

Answer:

additive inverse properties

Kinda need some help

The number 4 in 8^4 is called
the..

A)Base

B)variable

C)Exponent

D)Term

Answers

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

The 4 in 8^4 is called an Exponent (C)

Abox of twelve granola bars was $3.60. What was the unit cost per bar?

Answers

Answer:

cost of 12 bars = $3.60

cost of 1 bar = $3.60 ÷ 12

= $0.3

hope it helps

have a nice day

Answer:

$0.30

Step-by-step explanation:

12 granola bars = $3.60

1 granola bars = $3.60/12 = $0.30

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