Levitating a rod - magnetic field/forces

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To levitate a 2.0 g wire, the magnetic field strength must be calculated using the formula B = F/(IL). The force (F) acting on the wire is determined by its weight, which is 2 g converted to kg (0.002 kg) multiplied by gravitational acceleration (9.8 m/s²), resulting in F = 0.0196 N. The current (I) is given as 1.5 A, and the length (L) is 0.10 m, leading to IL = 0.15. The correct calculation for B results in approximately 130.67 T, but the initial attempt was incorrect due to not converting grams to kilograms. Accurate unit conversion is essential for solving this problem correctly.
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Homework Statement



What magnetic field strength will levitate the 2.0 g wire in the figure?

knight_Figure_32_36.jpg



Homework Equations



F = ILB


The Attempt at a Solution



Solving for B, the formula becomes:

B = F/(IL)

F = 2*9.8 = 19.6
IL = (1.5)*(0.10) = 0.15
B= 19.6/0.015 = 130.666666666...

which comes out as incorrect

what am i doing wrong?

thanks!
 
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...anybody know?

lol i have to submit this in a few hours! :(
 
Last edited:
convert the 2g to kg
 
i was thinking of doing that...but i wasnt sure..but yea that is correct

THANKS!
 
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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