Calculate the flux that passes through the floor

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The discussion focuses on calculating magnetic flux through a wall and a floor in a house based on the Earth's magnetic field components. For the wall facing north, the calculated flux is zero because the vertical magnetic field component is perpendicular to the wall's surface. In contrast, the flux through the floor is calculated as 5.16×10^-3 Wb, utilizing the horizontal magnetic field component. Participants express confusion regarding the orientation of magnetic field components and their impact on flux calculations. Clarifications about the relationship between the magnetic field direction and the surface normal are sought to resolve misunderstandings.
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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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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.
 
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.
 
im still in the dark about this vertical horizontal component
do i need to find some magnitude before i find the flux?
 
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