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 = 
/ 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
Answer:
1:2
Explanation:
It is given that,
Initial RMS AC voltage is 100 V and final RMS AC voltage is 200 V.
We need to find the ratio of the number of turns in the primary to the secondary for step up transformer.
For a transformer, 
So,
So, the ratio of the number of turns in the primary to the secondary is 1:2.
Answer:
The total number of atoms does not change, so mass is conserved in the reaction.
Explanation:
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The resulatant displacement will be 8.60m
What is displacement?
Displacement is the shortest path covered by an individual.
We have given the distance 5.2km and 3.7Km.
The resultant will be given in the photo
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Answer:
Magnetic dipole moment will be
Explanation:
We have given length of the cylinder , that is h = 5.51 cm = 0.051 m
And diameter of the cylinder d = 0.865 cm
So radius 
So volume of cylinder 
It is given there is uniform magnetization of 
We have to fond the dipole moment
Dipole moment is equal to 
, here M is magnetization and V is volume
So 
