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
math help please! - ( 2/5 )
Answers
Answer:
D
Step-by-step explanation:
it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)
Answer:
d) subtract 15 from both sides
Step-by-step explanation:
Process of elimination:
a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.
b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.
c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.
That leaves us, with (d), because you need to subtract 15 to isolate "x".
Find the slope between the following two points.
(9, 0), (12, -1)
Answers
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{-1-0}{12-9}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Hope this helps.
2 1/2 divided by 5/2 = ?
Answers
Answer:
I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.
Step-by-step explanation:
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Answers
Answer:
False
Step-by-step explanation:
Answer: False
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Find the slope of the line that passes through:
(-4,7) and (-6, -4)
Answers
Answer:
Ok:
Step-by-step explanation:
The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.
What is the area of the triangle?
Answers
Answer:
6
Step-by-step explanation:
[tex]A=\frac{h_{b} b}{2}[/tex]
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
Answers
===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
Write the hypothesis and the conclusion of each conditional.
1. If 3x-7 = 32, then x = 13.
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Answer:
XDdddDddDDDDDDDDDDDDDDDDDDD
giving brainlist so plzzz help
Fill in the missing numbers in these equations.
(-7) x ? = 14
Answers
Answer:
x=-2
Step-by-step explanation:
Divide 14 by -7, then plug in the result(-2) in place of x. Run this new equation(-7*-2=14) through your calculator to be sure it's correct.
The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?
Answers
Answer: 27.5
Step-by-step explanation:
Answer:
it will cost $475
Cómo se escribe el doble de un número en lenguaje algebraico
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Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
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Answer:
cant see the picture
Step-by-step explanation:
Divide. Round to the nearest tenth if necessary. 118.5 divided by 5
Answers
Answer:
23.7
Step-by-step explanation:
why is number multiplied by it self called a square of a number
Answers
Answer:
Because it is 2 of the same number.
Step-by-step explanation:
Answer:
I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.
Step-by-step explanation:
I hope this helps. Have a good day! :)
Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.
Answers
Answer:
Adjusted bank balance $11,582
Adjusted book balance $11,582
Step-by-step explanation:
Preparation of bank reconciliation statements
DEL GATO CLINIC Bank Reconciliation
June 30
Bank statement balance $10,555
Add: Bank deposit $2,856
Total $13,411
Deduct: Outstanding checks $1,829
Adjusted bank balance $11,582
($13,411-$1,829)
DEL GATO CLINIC Bank Reconciliation
June 30
Book balance $11,589
Add: Error in check $9
($467-$476)
Deduct: Bank charges$16
Adjusted book balance $11,582
($11,589+$9-$16)
Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582
8(x+1)-7x ≥-3 help me find the solution
Answers
Answer:
x [tex]\geq[/tex] 11
Step-by-step explanation:
[tex]8\left(x+1\right)-7x[/tex]
[tex]8x+8-7x[/tex]
[tex]x+8[/tex]
Then..
[tex]x+8\ge \:-3[/tex]
Subtract 8 from both sides
[tex]x+8-8\ge \:-3-8[/tex]
Then, you got your awnser.
[tex]x\ge \:-11[/tex]
5.76
228
35
Which list shows the lengths in order from greatest to least?
Answers
Answer:
the correct order of these from greatest to least is. 228, 35, 5.76
What’s greater - 2/6 or - 3/8 or is it equal
Answers
Answer:
3/8 is greater
Step-by-step explanation:
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answers
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
help please thank you
Mary did the following problem.
57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9
Which of the statements is true?
It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11
Answers
Answer:
its C
Step-by-step explanation:
i got this right on my quiz
Answer: it's wrong because subtraction comes before addition
Step-by-step explanation:
in the order of operations, there is PEMDAS
parentheses
exponents
multiplication
addition
subtraction
from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...
57-36+48
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Answers
Answer:
37.5%
Step-by-step explanation:
24÷64=0.375
with percents, you have to move the decimal 2 spaces back
so that equals 37.5%
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answers
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answers
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answers
Answer:
have you found the answer I need it to
find the square root of 144
Answers
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
What goes in the blank?
A always
B sometimes
C never
D rarely
Answers
Answer:
B
Step-by-step explanation:
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answers
Answer:
I = $ 1,937.50
Step-by-step explanation:
Describe the end behavior of the graph f(x) using limits.
Answers
Answer:
um
Step-by-step explanation:
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Option B is the correct answer.
We have,
From the graph,
As the x-value increases, the function y-values goes to -∞.
As the x-value decreases, the function y-values goes to -∞.
Now,
f(x) is the y-value.
The end behavior of the graph f(x) using limits can be represented as,
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Thus,
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ4
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answers
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.