1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
meriva
3 years ago
8

When a cube is inscribed in a sphere of radius r, the length Lof a side of the cube is . If a positive point charge Qis placed a

t the center of the spherical surface, the ratio of the electric flux sphereat the spherical surface to the flux cubeat the surface of the cube is(sphere / cube)
Physics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

  Ф_cube /Ф_sphere = 3 /π

Explanation:

The electrical flow is

      Ф = E A

where E is the electric field and A is the surface area

Let's shut down the electric field with Gauss's law

       Фi = ∫ E .dA = q_{int} / ε₀

the Gaussian surface is a sphere so its area is

        A = 4 π r²

the charge inside is

        q_{int} = Q

we substitute

       E 4π r² = Q /ε₀

       E = 1 / 4πε₀   Q / r²

To calculate the flow on the two surfaces

* Sphere

       Ф = E A

        Ф = 1 / 4πε₀  Q / r² (4π r²)

        Ф_sphere = Q /ε₀

* Cube

Let's find the side value of the cube inscribed inside the sphere.

In this case the radius of the sphere is half the diagonal of the cube

          r = d / 2

We look for the diagonal with the Pythagorean theorem

         d² = L² + L² = 2 L²

         d = √2 L

         

we substitute

          r = √2 / 2 L

          r = L / √2

          L = √2  r

now we can calculate the area of ​​the cube that has 6 faces

          A = 6 L²

          A = 6 (√2  r)²

          A = 12 r²

the flow is

          Ф = E A

          Ф = 1 / 4πε₀  Q/r²  (12r²)

          Ф_cubo = 3 /πε₀  Q

the relationship of these two flows is

         Ф_cube /Ф_sphere = 3 /π

You might be interested in
Father drove 176 km in 7 hours. For the first 92 km, he spent
Verizon [17]

Answer:

28km/h

Explanation:

92km = 4 hours

176 - 92 = 84

84km = 3 hours

84/3 = 28

28km/h

Hopefully this helps you :)

pls mark brainlest ;)

3 0
2 years ago
A bullet is fired in a horizontal direction with a muzzle velocity of 300m/s.In the absence of air resistance,how far will it ha
Kruka [31]

Answer:

304.9m

Explanation:

Given

Velocity = 300m/s

Tim = 1sec

Required

Horizontal distance S

Using the formula

S= ut+1/2gt²

S = 300(1)+1/2(9.8)(1)²

S = 300+4.9

S = 304.9m

Hence the distance travelled is 304.9m

6 0
2 years ago
The speed of light in a vacuum is 3 x 108 miles/hour. true/false?
GarryVolchara [31]
I'm guessing they rounded because it is technically 2.998 X 108 miles/hour

so I would go with true!
8 0
3 years ago
Read 2 more answers
Which type of element typically loses an electron to become an ion?
timofeeve [1]
Your answer should be metal
3 0
3 years ago
How can you determine the number of covalent bonds an element can form?
BabaBlast [244]
Yes it depends on the column on the periodic table
3 0
3 years ago
Other questions:
  • Jupiter has a mass about 300x that of Earth, and its radius is about 11x that of Earth. What would be the approximate weight of
    9·1 answer
  • Meg walks 5 blocks south and then turns around and walks 8 blocks back to the north. The distance that she walks is 13 blocks. W
    11·1 answer
  • In which country can you see the northern lights the best?
    10·1 answer
  • An 0.80-m aluminum bar is held with its length parallel to the east-west direction and dropped from a bridge. Just before the ba
    6·1 answer
  • What is the difference in quark model of a meson and a baryon? ​
    8·1 answer
  • What current is required in the windings of a long solenoid that has 420 turns uniformly distributed over a length of 0.575 m in
    5·1 answer
  • Which diagram best illustrates what happens when electromagnetic waves strike a reflective material? ANSWER: D
    7·2 answers
  • 1. What does the term monecious mean?
    13·1 answer
  • Gravitational potential energy (Eg) and kinetic energy (Ek)
    7·2 answers
  • in the bohr model, which energy transition will result in light being emitted with shortest wavelength?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!