Current reference direction confusion

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In the discussion, two questions about current direction and electron flow in a circuit are posed. For the first question, it is concluded that a negative current from point a to b indicates electrons flow from a to b. The second question leads to confusion, as the book suggests that electrons flow from a to b despite a positive current indicating the opposite. Participants clarify that the wording of the question is imprecise, particularly regarding voltage terminology, suggesting it may refer to a battery or voltage source. Ultimately, it is agreed that electrons flow from terminal b to a, aligning with the understanding that electrons move opposite to conventional current flow.
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Homework Statement



I have two questions.

1) The ends of a length of wire are labeled a and b. If the current i from a to b is negative, are electrons moving toward a or b?

2) We have a circuit element with terminals a and b. The voltage and current from a to b are both positive. If electrons carry the charge, which terminal do they enter?


Homework Equations


None, this is a conceptual problem.



The Attempt at a Solution


For question 1), I concluded that a negative current from a to b means that electrons flow from a to b. This makes sense and is the correct answer.

For question 2), I concluded that electrons flow from b to a since the positive current goes from a to b, but this is not the answer in the book.


Is the book wrong? Or am I missing something?
 
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I agree with your answers, since electrons move in the opposite direction of the "positive current". But question 2 is worded a bit loosely, so maybe that is where the disconnect lies.

The statement "The voltage and current from a to b are both positive." is not precise or correct. Voltage from a to b does not make sense. "Voltage drop from a to b" would be precise and correct. Maybe there is some strange voltage inversion because of the imprecise statement? Maybe it's a voltage source instead of a sink like a resistor?
 
For 2) I believe the circuit element must be a battery or voltage source.

If "b" is the +ve terminal of the source and "a" the negative then it makes sense.

The voltage a -> b is +ve.
The current flowing within the source/battery is also from a -> b.

..so I agree with your answer. Electrons flow from b to a.
 
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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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