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
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
Related Questions
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)
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Esosa pays $43.19 for 3.7 pounds of salmon. What is the price per pound of the salmon?
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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:
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:
-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! :)
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
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:
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
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
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= $3.27
Ryan purchased a kayak on sale for 130$ 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:
Please help me !! I need help ASAP
Answers
Answer:
1/5
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
G(x)=1
H(x)= 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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(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.
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:
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:
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Answer: i cant read what it says
Step-by-step explanation:
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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.
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
What is the sum of -19 and -99 ?
Answers
Answer: The answer is -118 :)
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.
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
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Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately.
Answers
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°.
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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
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:
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
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Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
What is 70 percent (calculated percentage %) of number 100? Answer: 70.