Answer: (a) α =
(b) For r≤R: B(r) = μ_0.
For r≥R: B(r) = μ_0.
Explanation:
(a) The current I enclosed in a straight wire with current density not constant is calculated by:
where:
dA is the cross section.
In this case, a circular cross section of radius R, so it translates as:
For these circunstances, α =
(b) <u>Ampere's</u> <u>Law</u> to calculate magnetic field B is given by:
μ_0.
(i) First, first find for r ≤ R:
Calculating B(r), using Ampere's Law:
μ_0.
.μ_0
B(r) = .μ_0
B(r) = .μ_0
For r ≤ R, magnetic field is B(r) = .μ_0
(ii) For r ≥ R:
So, as calculated before:
I
Using Ampere:
B.2.π.r = μ_0.I
B(r) = .μ_0
For r ≥ R, magnetic field is; B(r) = .μ_0.
<span>the formula q = 375 g * 25 C * 4.186 J / (g*C) = 39,243.75 J q represents the heat in Joules , m the mass in grams, difference of temperature in Celsius degree, and 4.186 J/(g*C) is the specific heat of water( I assume the water is in liquid from and will remain liquid). Approximately 39.24 kJ once you round and transform to kJ..1 kJ=1000J</span>
The dependent variable is: <em>"number of vocabulary words subjects can remember"</em>
<h3>
Which is the dependent variable?</h3>
In an experiment, we basically see how changing one variable affects another variable.
In this case, the experiment is:
<em>" if sleep affects the number of vocabulary words subjects can remember."</em>
Then the hours of sleep would be the independent variable (the one that the scientist can change) and the number of vocabulary words subjects can remember is the dependent variable (that depends on the independent variable).
So the correct answer is:
<em>"number of vocabulary words subjects can remember"</em>
If you want to learn more about variables:
brainly.com/question/15246027
#SPJ1
Answer:
Acceleration= 1,59 (meters/(second^2))
Direction= NE; 65,22° above the east direction.
Explanation:
Resulting force= ( ((180N)^2) + ((390N)^2) ) ^ (1/2) = 429,53 N
Angle obove the east direction= ((cos) ^ (-1)) (180N / 429,53 N) = 65,22°
Acceleration= Resulting force / mass = (429,53 N) / (270 kg) =
= (429,53 kg × (meters/(second^2))) / (270kg) = 1,59 (meters/(second^2))