A circular loop carrying current I lies in the yz plane with its axis along the x axis (a) Evaluate the line integral C B d along the axis of the loop from x 1 to x 1 (b) Show that when 1 , the line integral approaches 0I This result can be related to Ampere 's law by closing the curve of integration with a semicircle of radius on which B 0 for very large

Question: A circular loop carrying current I lies in the yz plane with its axis along the x axis. (a) Evaluate the line integral C B

A circular loop carrying current I lies in the yz plane with its axis along the x axis.

(a) Evaluate the line integral ∫C B • dℓ along the axis of the loop from x = – ℓ1 to x = +ℓ1.

(b) Show that when ℓ1 → ∞, the line integral approaches μ0I. This result can be related to Ampere's law by closing the curve of integration with a semicircle of radius ℓ on which B ≈ 0 for ℓ very large.

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