The current in a direct current resistor inductor circuit is given by:
i(t) = (-ℰ/R)e^{-Rt/L} + ℰ/R
Where i(t) is the current, t is time, ℰ is the battery's terminal voltage, R is the resistor's resistance, and L is the inductor's inductance.
Given values:
ℰ = 5.6V
R = 100Ω
L = 4.1×10⁻²H
Plug in the values to get i(t):
i(t) = -0.056e^{-2440t} + 0.056
We want to calculate when the current is 0.012A, i.e. find a time t when i(t) = 0.012A. So let us set i(t) equal to 0.012 and solve for t:
-0.056e^{-2440t} + 0.056 = 0.012
0.056e^{-2440t} = 0.044
e^{-2440t} = 0.786
-2440t = ㏑(0.786)
t = -㏑(0.786)/2440
t = 9.87×10⁻⁵s
By 272.7 degrees angle has planet Y rotated through during this time.
<h3 /><h3>What is Kepler's 3rd law?</h3>
The cubes of the semi-major axes of the planets' orbits are precisely proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius rises, so does the time of its orbit around the Sun.
Using Kepler's 3rd law, which says that the period of any planet's orbit squared is proportional to the radius of the orbit cubes, we can establish that
(period X / period Y)^2 = (radius X / radius Y)^3
(period X / period Y)^2 = 2^3 = 8
take sq root
period X / period Y = √8 = 2.82≅ 3
this means it takes planet X 2.82≅ 3 times longer to go through one orbit... so planet Y travels 2.82≅ 3 times as far (in its orbit...) as planet X!
This means...
planet Y travels 3 * 90.9 = 272.7 degrees
to learn more about Kepler's 3rd law go to - brainly.com/question/16705471
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The density of seawater plays a vital role in causing ocean currents and circulating heat because of the fact that dense water sinks below less dense. long story short, seawater is the problem because its denser than pure water.
A continuous spectrum contains all the wavelengths
A discontinuous spectrum has strips of specific colors and can be used to identify the elements making it.
hope this helps
Answer:
The magnitude of the resultant force is 6201 N
The direction of the resultant force is 72°
Explanation:
Please find the attached file for explanation;
