Calculate the flux that passes through the floor

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In summary, a house with a floor area of 200 m^2 and an outside wall with an area of 50.0 m^2 is in an area with a horizontal component of 2.58×10^-5 T and a vertical component of 4.14×10^-5 T in the Earth's magnetic field. The magnetic flux through the wall is 0 Wb since it faces north and the horizontal component is zero. The flux passing through the floor is 5.16*10^-3 Wb as only the vertical component contributes to the flux. To calculate the flux, the magnitude of the magnetic field must be known.
  • #1
figs
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A house has a floor area of 200 m^2 and an outside wall that has an area of 50.0 m^2. The Earth's magnetic field here has a horizontal component of 2.58×10^-5 T that points due north and a vertical component of
4.14×10^-5 T that points straight down, toward the earth. a)Determine the magnetic flux through the wall if the wall faces north. b)calculate the flux that passes through the floor.

a)
flux=BAcos(theta)
=(4.14*10^-5)(50 m^2)(cos 90 deg)
=0 Wb

b)
flux=BAcos(theta)
=(2.58*10^-5)(200 m^2)(cos 0 deg)
=5.16*10^-3 Wb

I'm not sure what I did wrong.
 
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  • #2
At point a) it's the horizontal component which gives the nonzero flux...

As for point b),it's viceversa,only the vertical one does.

Daniel.
 
  • #3
A house has a floor area of 200 m^2 - normal points vertical - a vertical component of 4.14×10^-5 T that points straight down,

An outside wall has an area of 50.0 m^2. The wall's normal is horizontal, The Earth's magnetic field here has a horizontal component of 2.58×10^-5 T that points due north.
 
  • #4
im still in the dark about this vertical horizontal component
do i need to find some magnitude before i find the flux?
 

What does it mean to "calculate the flux that passes through the floor"?

Calculating the flux that passes through the floor involves determining the amount of a physical quantity (such as heat or electricity) that flows through a surface (in this case, the floor) per unit time.

Why is it important to calculate the flux through the floor?

Calculating the flux through the floor allows us to understand how much of a physical quantity is being transferred through the floor, which can have implications for energy efficiency, heating or cooling systems, and structural integrity.

What factors influence the flux through the floor?

The flux through the floor can be influenced by a variety of factors including temperature differences between the floor and its surroundings, the material and thickness of the floor, and any barriers or insulation present.

How do you calculate the flux through the floor?

The flux through the floor can be calculated by multiplying the surface area of the floor by the temperature difference between the floor and its surroundings and the thermal conductivity of the floor material. This is known as Fourier's law of heat conduction.

What are some potential applications of calculating the flux through the floor?

Calculating the flux through the floor can be useful in a variety of fields including building design and construction, energy efficiency analysis, and HVAC (heating, ventilation, and air conditioning) systems. It can also be used to study heat transfer in materials and structures.

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