a current i(t) with arbitrary time dependence is around a circular ring. derive the general formula for the power radiated,

Answers

Answer 1

P = ∫(i^2 dl / 6πε0 c^3) × a^2

where q is the charge, ε0 is the permittivity of free space, c is the speed of light, and a is the acceleration of the charge.

Now consider a small element of length dl around the ring through which the current i flows. The power radiated from this element can be written as

dP = (i^2 dl / 6πε0 c^3) × a^2

where a is the acceleration of the charge in the element due to the changing magnetic field.

The total power radiated from the entire ring is obtained by integrating this expression over the length of the ring.

P = ∫(i^2 dl / 6πε0 c^3) × a^2

This is the general expression for the radiated power of the current distribution around the ring.

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Related Questions

Identify the parent function. 5 -5 5 -5 A. Cube root

Answers

The answer is:

A.) Square Root

Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.

Answers

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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What is the sign of B/c

Answers

Can I see the answer choices? I think it’s somewhere around this answer .25/-1.75

Current
How many years will it take for an initial investment of $60,000 to grow to $90,000? Assume a rate of interest of
4% compounded continuously.

>It will take about _years for the investment to grow to $90,000.
(Round to two decimal places as needed.)

Answers

Answer:

I think i don't know the answer i am so sorry!!!

maybe someone else can Answer

Lia has a red ribbon that is 2 1/2 inches long. She has a blue ribbon that is 4 times as many inches long. How long is the blue ribbon?

Answers

Answer:

Step-by-step explanation:

Please help me I’m begging u it’s due in 10 minutes!!

Answers

Answer:

y= -1

Step-by-step explanation:

subtract, so x cancels out.

you are left with 2y=-2

y= -1

Answer:

y = - 1

Step-by-step explanation:

x + y = 1 .......... (1)

x - y = 3 .......... (2)

(1) + (2)

2x = 4 ⇒ x = 2

2 + y = 1 ⇒ y = - 1

(2, - 1)

If the terminal side of angle A passes through (-5,2) find the value of sec A

Answers

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

$c^2\:\:=\:\left(-5\right)^2\:+\:2^2$

$c^2=5^2+2^2$

$c^2=25+4$

$c^2=29$

$c=\sqrt{29}$

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

= hypotenuse/adjacent

= √29/-5

= - √29/5

Therefore, the value of sec A = - √29/5

One bus has 67 seats. Another bus has 33 fewer seats. How many seats are on both buses?

Answers

There is 100 seats on both buses

There are 98 seats on both buses.

You would need to do 67 - 33 to find the amount of seats on the second bus.

67 - 33 = 34

Then you would need to add the 34 to 64 for the grand total.

64 + 34 = 98.

Hope this helps!

Does anyone know this answer??

Answers

Answer:

The answer is 14.76 to 2d.p

Step-by-step explanation:

Hyp²=opp²+adj²

let Hyp be x

x²=13²+7²

x²=169+49

x²=218

Square root of both sides

√x²=√218

x=14.76 to 2d.p

Answer:

14.76

Step-by-step explanation:

A square + b square = c square

13 square=169

b square=49

169+49=218

the root of 218 is 14.76

a) What is the equation of line A?
B
b) What is the equation of line B?
y
10
9
8
7
6
5
4
3
2
1
А
O' 1 2 3 4 5 6 7 8 9 10

Answers

Step-by-step explanation:

can somebody PLEASE help me with this question i’m begging and i’ll give brainlist

Answers

The missing values are:

angle DGE = 45 degrees

angle EDG = 85 degrees

FD = 10

GD = 10√2

EG = (20 + 13√3) / 2

How to find the missing sides

The missing sides in the figure is solved as follows

angle DGE = angle BAG = 45 degrees (alternate angles are equal)

angle EDG = angle ADC (vertical angles are equal)

angle ADC + 45 + 50 = 180 (sum of angles in a triangle)

angle ADC = 180 - 50 - 45

angle ADC = 85 degrees

Since DGE = 45 degrees and FG = 10

tan 45 = FD / FG

tan 45 = FD / 10

FD = 10

solving for GD

GD² = FD² + FG² = 10² + 10² = 200

GD = 10√2

solving for EG

EG = EF + FG

cos 50 = EF / 13

EF = 13 cos 50 = 13√3 / 2

EG = EF + FG = 13√3 / 2 + 10 = (20 + 13√3) / 2

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Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her total annual interest is $420 , how much does she have invested?

Answers

The total investment done by Lydia when her total annual interest is $420 at 11% dividend and 14% interest is equal to $3360.

Total annual interest = $420

Half of the investment in stock paying = 11% dividend

Half of the investment in stock paying = 14% interest

Let x be the amount Lydia has invested in each stock.

Since she has half of her investments in each stock,

The following system of equations to represent the situation,

Total annual interest is $420.

This implies ,

0.11x + 0.14x = 420

And total investment is,

x + x = 2x

Simplifying the first equation, we get,

⇒ 0.25x = 420

Dividing both sides by 0.25, we get,

⇒ x = 1680

So, Lydia has invested $1680 in each stock, for a total investment of,

⇒ 2x = 2(1680)

= 3360

Therefore, Lydia has a total investment of $3360.

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The domain and ranger of a linear function is always all real numbers true or false ?

Answers

Answer:

Step-by-step explanation:

The domain and range of a linear function is always real numbers (T or F)

It is True. This is because of a couple of reasons.

1.) You cannot divide by 0.

2. A negative number cannot have its square root taken.

The range is determined by the domain in a linear function, and thus it must always consist of real numbers.

Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers

Answers

Answer:

Answer below

Step-by-step explanation:

Rational:

7/16

Irrational:

120

The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:

Rational numbers:

√36 = 6

7/16

√81 = 9

Irrational number:

√120

√48

Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.

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Help meeeeeeeeeeeeeeeeeeee

Answers

Answer:

I believe it is y=1x or y=x

Answer:

Step-by-step explanation:

The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14

Deion was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Deion also noted if the contestants were signed up for the mustache competition later in the day. Dark beard Light beard Only in the beard competition 4 3 Also in the mustache competition 3 2 What is the probability that a randomly selected contestant is only in the beard competition and has a light beard?

Answers

There are a total of ten contestants. Of these contestants, 3 have a light beard and are only in the beard competition. Therefore, the probability of a randomly selected contestant being only in the beard competition and having a light beard is:

$P(\text{Light beard and only in beard competition}) = \frac{3}{10}$

So, the probability of a randomly selected contestant being only in the beard competition and having a light beard is $\frac{3}{10}$.

2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.

Answers

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S

Answers

Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2 Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2 Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2 Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

$ \sqrt{20} \times \sqrt{15} \times \sqrt{3} $
can you help me solve it

Answers

The answer is equal to 40

Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11

Answers

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² × 5³ × 5 × 7

B = 3² × 3² × 5³ × 7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

= 3898125

Hence the LCM is 3898125.

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David has a bank account which pays interest at the rate of 1.5% per year, compounded annually. Determine what amount David

must have in the bank, given that he would like to draw an annual salary of $32,635.15 from his account at the end of each year

for 30 years. Round to the nearest cent.

Answers

Answer: the amount that David must have in the bank is $783243.6

Step-by-step explanation:

We would apply the formula for determining present annuity. It is expressed as

PV = R[1 - (1 + r)^- n]r

Where

PV represents the present value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

r = 1.5/100 = 0.015

n = 30 years

R = $32,635.15

Therefore,

PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015

PV = 32635.15[1 - (1.015)^- 30]/0.015

PV = 32635.15[1 - 0.64]/0.015

PV = 32635.15[0.36]/0.015

PV = 32635.15 × 24

PV = $783243.6

a. $783,760.48

on edgen

Which ordered pairs make the inequality true?

x+3y<9

Select each correct answer.

(5,1)

(1,3)

(−2,3)

(−1,4)

Answers

Answer:

The ordered pairs (-2,3) and (5,1) make the inequality true.

Step-by-step explanation:

What is the solution to y + 8.5 = 17.2?y = -8.7y = -25.7y = 8.7y = 25.7

Answers

Step 1

Given; What is the solution to y + 8.5 = 17.2?

Step 2

$\begin{gathered} y+8.5=17.2 \\ Subtract\text{ 8.5 from both sides} \\ y+8.5-8.5=17.2-8.5 \\ y=8.7 \end{gathered}$

Answer;

$y=8.7$

Need help asap
Thirty people row a distance of 8000 meters in their individual canoes. The average length of time to row this distance is 30 minutes. The difference between the fastest time and the slowest time is 1 minute.

Which equation represents the fastest and slowest times?

∣x−30∣=1

∣x−8000∣=1

∣x−8000∣=0.5

∣x−30∣=0.5

Answers

The correct answer is Option 1.

Find the value that makes each equation true.

A. 110%n=11 n=

B.
(328 x 128) x k = 328 x (82 x 128)

K=

Answers

Answer:

A. $n=100$
B. $k=0$

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

on a math facts test Paul got 1/8 of the questions incorrect which of the following best represents the percent of questions Paul got incorrect?

Answers

Answer:

Present of incorrect question = 12.5%

Step-by-step explanation:

Given:

Fraction of incorrect question = 1/8

Find:

Present of incorrect question

Computation:

Present of incorrect question = (Fraction of incorrect question)(100)

Present of incorrect question = (1/8)(100)

Present of incorrect question = 12.5%

Answer: hey its me remember

Step-by-step explanation:

will someone please help me? I will give 20 points!

Answers

Answer:

SA = 270 ft²

Step-by-step explanation:

SA = 2(12×5)/2 + (7×5) + (13×7) + (12×7)

SA = (12×5) + (7×5) + (13×7) + (12×7)

SA = 60 + 35 + 91 + 84

SA = 270 ft²

Find the length of the third side. If necessary, round to the nearest tenth.
15
9

Answers

The length of the third side is 12 units

How to determine the length of the third side

From the question, we have the following parameters that can be used in our computation:

A right triangle

This means that we can calculate the third length using the Pythagoras theorem

using the above as a guide, we have the following:

x = √(15² - 9²)

Evaluate the exression

x = 12

Hence, the third length is 12 units

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the lowest common denominator, you can use prime factorization on the denominators to find their least common multiple. In this case, you don't need to do that because both denominators are already prime, so you can just multiply 2 by 5 to get 10.

Which of the following are geometric sequences? Select all correct answers.

Answers

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

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