Ampere's Law: Current Enclosed in a Volume

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SUMMARY

Ampere's Law states that the current enclosed in a volume is crucial for calculating the magnetic field. The correct answer to the homework question is C) Volume, as current can exist in three dimensions, influencing the magnetic field throughout that volume. The discussion emphasizes the importance of understanding the relationship between current and magnetic fields, particularly when considering different surfaces and loops. Key insights include the distinction between current passing through a volume versus a surface.

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Homework Statement



Ampere's Law uses the current enclosed in a:
A) Loop
B) Surface
C) Volume

Homework Equations





The Attempt at a Solution



I think the answer is C because I often see current in 3-dimensions, that is, it can be into or out of the page as well as up/down and left/right. I don't know for sure, but is my thinking correct?
 
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Hi Yosty22! :smile:
Yosty22 said:
I think the answer is C because I often see current in 3-dimensions, that is, it can be into or out of the page as well as up/down and left/right. I don't know for sure, but is my thinking correct?

Hint i]: consider a sphere … is there any difference between the current passing through the volume of the sphere and the current passing through the surface of the sphere?

ii] Consider two different surfaces whose edges are the same loop …

what does Ampere's law say about the two currents through those two surfaces? :wink:

(and anyway, what does Ampere's law say about the magmetic field?)
 

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