It is found experimentally that the electric field in a certain region of Earth's atmosphere is directed vertically down. At an
altitude of 260 m the field has magnitude 60.0 N/C. At an altitude of 150 m, the magnitude is 100 N/C. Find the net amount of charge contained in a cube 110 m on edge, with horizontal faces at altitudes of 150 and 260 m. Neglect the curvature of Earth.
1 answer:
Answer:
Step-by-step explanation:
This is flux problem (see diagram below)
Since electric field is vertical to the top and bottom of the cube. total flux will be sum of flux up and down i-e
Фtotal=Фup + Фdown = Ф 260 + Ф150
But flux is given by scalar product of Electric field and area
Ф=E.A= EA cos∅
where ∅ is the angle between two vector quantities E the electric field and A the area vector. So, total flux is
Фtotal =
But we know that according to Gausse's Law total flux is given by;
Total flux = q / ∈
==> q= ∈(Total flux)
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Answer:
Step-by-step explanation:
Take any two points from the graph
(2 , 0) ; (0 , -4)
Slope =
Slope of the perpendicular line = -1/m = -1/2 = -1/2
m = -1/2 ; (-4 , 5)
y - y1 = m(x - x1)
Check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.