Ampere's Law: Current Enclosed in a Volume

[Yosty22]

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?

 

[tiny-tim]

Hi Yosty22!

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?

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