Finding the Direction of Magnetic Fields with Opposing Currents

AI Thread Summary
To determine the direction of the magnetic field with opposing currents, the Right Hand Rule is essential. Each current's direction is analyzed separately, and the magnetic fields they produce are combined as vectors. Despite the currents being equal and opposite, they do not cancel out completely due to their spatial arrangement. The symmetry of the setup plays a crucial role in understanding the resultant magnetic field direction. Ultimately, the magnetic field at the specified points aligns in the positive x direction.
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Homework Statement


33.Ex13_v2.jpg

How do I find the direction of the magnetic field at the points?

Homework Equations



Ampere's B = (UI) / (2*pi*r)[/B]

The Attempt at a Solution



I know how the Right hand rule, where your thumb is the direction of the current and your hand wraps the direction of the field, but I'm not sure how it plays in when both the current are opposite.
 
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Try applying the right-hand rule to each of the currents separately and combining the results. Remember that fields add as vectors. and that the diagram is symmetric except for the directions of the currents.
 
John Park said:
Try applying the right-hand rule to each of the currents separately and combining the results. Remember that fields add as vectors. and that the diagram is symmetric except for the directions of the currents.
Yes , but aren't they equal and opposite? Wouldn't they just cancel each other?
 
Have you tried it? Start with point (b). For the upper current your thumb points towards you and your fingers are under your hand. For the lower current your thumb points away from you and your fingers are above your hand . . .
 
John Park said:
Have you tried it? Start with point (b). For the upper current your thumb points towards you and your fingers are under your hand. For the lower current your thumb points away from you and your fingers are above your hand . . .
Oh I see~ I was taking into consideration of of the whole rotation of my hand, so the back of my hand should face wherever the point is? So they're all in the positive x direction?
 
looks that way to me.
 
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