Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)

Answers

Answer 1

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Two Uniformly Charged, Infinite, Nonconducting Planes Are Parallel To A Yz Plane And Positioned At X

Related Questions

A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed for this marathon? here is the "answer" aka the options you have. 12,16,21,26. Please help me!!!!!!!!

Answers

Answer:

I think 21

Step-by-step explanation:

FUNCTIONS: Solve each of the functions below for x = 3
f (x) = 5x2 + 3x
g(x)=- 2x + 7
h(x) = x

Answers

F(x)= 54
G(x)=1
H(x)= 3

What is the sum of -19 and -99 ?

Answers

Answer: The answer is -118 :)

Problem 2 :
Abraham has two pieces of wire, one 6 feet long and the other 12 feet
long. If he wants to cut them up to produce many pieces of wire that
are all of the same length, with no wire left over, what is the greatest
length, in feet, that he can make them ?

Answers

He can make them 6 feet long bc that’s the greatest length. so abraham will hv 3 wides that are 6 feet long

Ryan purchased a kayak on sale for 130$ before tax. The regular price was 200$ before tax. What percent represents the change is the price on the kayak?

Answers

Answer:

70

Step-by-step explanation:

If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help.
2. Wrote an equation that gives the amount of snow that has fallen after x hours at this rate.
3. How many inches of snow will fall in 24 hours if it continues to snow at this rate?

Time(hours). Snow(inches)
1
1.
2. 4
6.5
X

Answers

Answer:

1. 2/4 = 1/2

6.5/x = 1/2

13 = x

13 inches of snow

2. Y=2x

3. 47.99999997 inches of snow

Step-by-step explanation:

Find the value of the angle θ rounded to 1 DP.

The diagram is not drawn accurately.

Answers

It’s also gonna be 26 I think because look at the angle they both look the same and both are acute

The measure of the indicated angle θ is approximately 39.9°.

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

After labeling the figure

In triangle ABC

Sin θ = AC/AB

Sin 26° = AC/19

AC ≈ 0.44 x 19

AC ≈ 8.36

Now in Triangle ADC,

tan θ = (opposite side of θ)/(Adjacent side)

tan θ ≈ 7/8.36

tan θ ≈ 0.837

Take the inverse of tan on both sides, we get,

θ ≈ 39.9°

Hence,

The value of angle θ is approximately 39.9°.

To learn more about the triangle visit;

brainly.com/question/1058720

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Indicate whether the statement is true or false, 162.648 > 126,498​

Answers

Answer:

Its true

It's a greater than sign.

Step-by-step explanation:

Esosa pays $43.19 for 3.7 pounds of salmon. What is the price per pound of the salmon?

Answers

Answer:

$11.67 per pound

Step-by-step explanation:

Answer:

$11.67

Step-by-step explanation:

Assume f(x) = 2x + 8 and g(x) = 5. What is the value of (gof)(3)?
O
A. 70
O
B. 15
C. 18
D. 5

Answers

Answer:

G of F means G*F which implies 5*2x+8 and given the value of x is 3 5*2(3)+8=70

So A is the correct answer.

Answer:

5

Step-by-step explanation:

HELP ME PLZZ I NEED HELP WITH THIS!!!!

Answers

C. -3°F

If it went down by 18 in 6 hours we simply do:

-18/3

Which gives you:

-3

So The Answer Is...

C. -3°F

Please help me !! I need help ASAP

Answers

Answer:

1/5

Step-by-step explanation:


A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank holds 180 L and 23 fish,
Order the tanks by volume per fish from least to greatest

Answers

For each tank just divide the number of L by the number of fish to get the volume or fish.

For tank A it is 40/5=8, for tank B it is 100/12=8.3, and for tank C it is 180/23=7.8.

If you number them least to greatest, it is (tank C, tank A, tank B)

please walk me through this​

Answers

Answer:

X is 160. because you can add all the value of x. But first substrate 540 with 100 which is 440. then 1/2x + 1/2x+ (x-15) + (x-25) which is further simplified as x + 2x - 40. then it's further simplified as 3x - 40 = 440. then add 40 with 440 which is 480 then divide it by 3 which is 160. therefore X= 160.

-15
-5=
help with this one?

Answers

Answer:

The answer is 3.

Step-by-step explanation:

If you divide a negative by a negative, then it equals a positive, because the two negatives cancel out.

So, -15/-5 = 3.

But, if it were -15/5 = ?

Then it would be -3, because there is only one negative, therefore it cannot cancel out.

Hope this helps! :)

Please help me with this question!

Answers

i believe the answer is c. 3

28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?

Answers

Answer: 39

Step-by-step explanation:

The median is the number that is in the middle of a greatest-to-least number sequence. Your numbers are already in g-to-l order so its 39

Hope this helps :)

The median of the data is: 39

What is median?

"It is the middle number in a sorted list of numbers."

Given data: 28, 32, 36, 37, 39, 41, 41, 43, 45

Given data is already in sorted list form.

The middle number of sorted data  is, 39

Therefore, median = 39

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https://brainly.com/question/24686312

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(Terms and Equations in Factual Problems) The Smith family consists of four people. Anna is three years older than Matthias. Miss Smith is four times as old as Anna. Mr Smith is five years older than his wife. Together they are 72 years. How old are the family members?

Answers

Given:

Anna is three years older than Matthias.

Miss Smith is four times as old as Anna.

Mr Smith is five years older than his wife.

Together they are 72 years.

To find:

The age of each family member.

Solution:

Let age of Matthias be x years.

Anna is three years older than Matthias.

Anna's age = x+3

Miss Smith is four times as old as Anna.

Miss Smith's age = 4(x+3)

Mr Smith is five years older than his wife Mrs Smith.

Mr Smith's age = 4(x+3)+5

Together they are 72 years.

[tex]x+(x+3)+4(x+3)+[4(x+3)+5]=72[/tex]

[tex]x+x+3+4x+12+4x+12+5=72[/tex]

[tex]10x+32=72[/tex]

Subtract 32 from both sides.

[tex]10x=72-32[/tex]

[tex]10x=40[/tex]

Divide both sides by 10.

[tex]x=4[/tex]

Now,

Matthias's age = 4 years

Anna's age = 4+3

                  =  7 years

Miss Smith's age = 4(4+3)

                           = 4(7)

                           = 28 years

Mr. Smith's age = 4(4+3)+ 5

                          = 28+5

                          = 33 years

Therefore, the ages of Matthias, Anna, Miss Smith and Mr Smith are 4, 7, 28 and 33 respectively.

How much more does $1,000 earn in eight years, compounded daily at 5%
interest rate than $1,000 over eight years at 5% compounded semiannually?

Answers

Answer: $7.27

Step-by-step explanation:

Does anyone know this?

Answers

Answer: i cant read what it says

Step-by-step explanation:

get closer

How many number of terms does -7n^3 + 10n - 13 have

Answers

Answer:

3 terms

Step-by-step explanation:

- 7n^3  is a  term

10n is a term

-13 is a term

Please help I’ll give brainiest!!

Answers

Answer:

f(4) = 0

Step-by-step explanation:

f(4) means what is the value of y when x = 4

Now x = 4 is on the x- axis, where y = 0, thus

f(4) = 0

The average price of gas cost $3.27 per gallon in the year 2008. In 2020 the average price of gas is $2.15. What is the percent decrease?

Answers

Answer:

34.2508% decrease

Step-by-step explanation:

Percent decrease = 100 x (starting value-new value/starting value)

100 x ((3.27 - 2.15)/3.27)

Answer:

$1.12

Step-by-step explanation:

$3.27-$2.15=$1.12

$1.12 + $2.15= $3.27

On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.


A 0.3 second


B 0.6 second


C 1.6 seconds


D 3.2 seconds

Answers

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]

On triangle it shows: 50* (2x)* (3x-10)* what is the value of x?

Answers

Answer:

28

Step-by-step explanation:

What is the distance between the point (4, 7) and its reflection over the x-axis, as shown on the graph below?



0 units
7 units
8 units
14 units

Answers

Answer:

14

Step-by-step explanation:

the x formate times xn

Answer:The answer is 14 units i got this right on  my school and the person up there is right as well

Step-by-step explanation: have a great day.=D

Plz help meee Thank you very much for whoever helps

Answers

Answer:

70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

What is 70 percent (calculated percentage %) of number 100? Answer: 70.

what is (-1/2) - (-2/5) ?



help please .

Answers

Answer:

-1/10

Step-by-step explanation:

Answer:

-1/10

Step-by-step explanation:

First you need a common demonator of 10

so

-1/2 --> -5/10

and  -2/5 --> -4/10

using this the equation is:

-5/10 - (-4/10) which equals

-5/10 + 4/10= -1/10

You drive 14.4 miles. How many inches is that?

Answers

Answer:

912384

Step-by-step explanation:

Answer:

14.4 miles is equal to 912384 inches

From your house, Joe's mechanic shop is 25 miles away. At what rate must you travel to
go 25 miles to make your appointment in 0.27 hours?

Answers

Answer:

rate =  92.6 miles/hours

Step-by-step explanation:

Here rate means speed

formula for speed = distance/time

since distance here is 25 miles

and time taken is 0.27 hours

thus,

speed = distance to be traveled/time in which this distance is covered

speed = 25 miles/ 0.27 hours = 92.6 miles/hours

thus, rate should be  92.6 miles/hours to make the appointment in time.

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