Torque on a small loop by a large loop?

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To estimate the torque exerted by a large loop on a small loop, first calculate the magnetic field at the center of the large loop using the formula for the magnetic field due to a current-carrying loop. With a 6.0 A current flowing through the large loop of radius 24 cm, the magnetic field can be determined. Next, use the magnetic field strength and the area of the small loop, which has a radius of 2.0 cm, to find the torque. The torque is given by the product of the magnetic moment of the small loop and the magnetic field from the large loop. This approach provides a systematic way to estimate the torque in this scenario.
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A small loop of wire of radius 2.0 cm is placed at the center of a wire loop with radius 24 cm. The planes of the loops are perpendicular to each other, and a 6.0 -A current flows in each. Estimate the magnitude of the torque the large loop exerts on the smaller one.

I know the rules but I honestly have no Idea on where to start.
 
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Start by figuring out the magnetic field at the center of the large loop.
 
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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