Calculating Magnetic Flux Through a Loop

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The discussion focuses on calculating magnetic flux through a loop, with initial confusion over area conversions and calculations. The correct area of the loop is identified as 0.04 m², not 4 m², which is crucial for accurate flux calculations. Participants emphasize the importance of using consistent units, specifically converting all measurements to meters. There is a consensus that the magnetic flux should be calculated using the formula involving area and magnetic field strength. The thread highlights the need for careful attention to unit conversions to avoid errors in calculations.
cindimartini
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Homework Statement



What is the magnetic flux through the loop shown in the figure below?

Homework Equations


magnetic flux=ABcosANGLE



The Attempt at a Solution



What I did is took 2*4e2 (because the area is 400cm converted to 4m) which equals 32
then 1*4e2 which is 16...Since one is going in and one is going out I thought you would minus 16 from 32 to give 16? Not correct? Any help?
 

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The area 20cm x 20 cm = 400cm2 That's correct...
But 400cm2 is not 4m (or 4m2)
It's 0.2m x 0.2m = 0.04m2

Does this help you get the right answer

Flux is flux density in tesla times area in m2
 
No...because if i do that i get .0032 & .0016 which subtracted from one another equals .0016...still not right. I know the answer has to be so easy I'm missing it!?
 
cindimartini said:
What I did is took 2*4e2 (because the area is 400cm converted to 4m) which equals 32
then 1*4e2 which is 16...Since one is going in and one is going out I thought you would minus 16 from 32 to give 16? Not correct? Any help?

Uhh, :rolleyes:

I don't seem to understand where you are getting values like 32 or 16.

Perhaps it would be easiest to do as Stonebridge implied, converting everything to meters first (instead of cm). The find the area, A, which equals length times width. Once you have the respective areas, incorporate the respective magnetic fields into things to find the flux.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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