Solving B.dl Question: Is Current 0 for Path AB?

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The discussion centers on whether the current for path AB is zero due to the absence of enclosed current. Participants agree that since there is no enclosed current for path AB, the current should indeed be zero. Additionally, it is noted that the question does not require calculating the integral around a closed path. The focus remains on the interpretation of current in relation to the specified path. This conclusion reinforces the understanding of current flow in circuit analysis.
CH1991
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Homework Statement



Please check attachment or picture below.
http://i.imgur.com/PIwt0.png
PIwt0.png


Homework Equations





The Attempt at a Solution



Since there is no enclosed current for path AB, shouldn't it just be 0?
Thanks!
 

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CH1991 said:

Homework Statement



Please check attachment or picture below.
http://i.imgur.com/PIwt0.png
PIwt0.png


Homework Equations





The Attempt at a Solution



Since there is no enclosed current for path AB, shouldn't it just be 0?
Thanks!

The question does not ask for the integral around the closed path.
 
Thank you!
 
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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