Circulation of a Mag field around a wire, what is the angle?

AI Thread Summary
The discussion focuses on the circulation of a magnetic field around a wire, described by Ampère's Law, which states that the closed loop integral of the magnetic field (B) along a small line element (dl) equals μ0 times the current (I). The user contemplates whether both B and dl pointing in the same direction implies that the dot product can be represented as cosθ = cos0. The response confirms that this is indeed the correct way to think about it. This reinforces the understanding of the relationship between magnetic field direction and current flow in the context of Ampère's Law. The clarity of this concept is essential for grasping electromagnetic theory.
Sara Kennedy
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Circulation of a magnetic field = closed loop integral ∫c B ⋅dl = μ0I

B is mag field strength, dl is small line element, I is current

Im imagining both B and dl point in the same direction from the diagram. So the dot product here, I picture as cosθ = cos0

Is that correct way to think? This is not a homework question, I'm reading amperes law theory.
 

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Sara Kennedy said:
Im imagining both B and dl point in the same direction from the diagram. So the dot product here, I picture as cosθ = cos0

Is that correct way to think?
Yes.
 
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