You have a point on a rectangular graph with coordinates (6, 8).
You want to describe the same location in polar coordinates ... R and Θ .
-- 'R' is the distance from the origin to the point.
-- 'Θ' is the angle you'd need to turn the x-axis counterclockwise
around the origin to make it pass through the point.
To change rectangular coordinates to polar coordinates:
R = √(x² + y²)
Θ = the angle whose tangent is (y / x) .
(6i + 8j) is the [Cartesian] vector that takes you from the origin to (6, 8) .
R = √(6² + 8²) = √(36 + 64) = √100 = 10
Θ = tan⁻¹ (8/6) = 53.13° (rounded)
In polar coordinates, the same point is 10 ∠53.13° .
I’m pretty sure the answer is A
I believe the answer would be, refractor type telescopes because these are best used for planetary observations.
Answer:
Explanation:
The magnetic field in a solenoid is
B = μ₀ N / L I
Where N is the number of turns, L the solenoid length and I the current
N = B L / μ₀ I
Let's calculate
N = 5.8 10⁻³ 0.18 / 4 π 10⁻⁷ 1
N = 8.3 102 laps
N = 831 laps
Let's find the solenoid length
For this we use a rule of proportions
L_solenoid = Turns * wire diameter
L_ solenoid = 831 * 0.41 10--3
L_solenoid = 0.3407 m
We see that two turns are needed in the wire to have a length of 0.18 m