Ampere's Law with Calculus Video Lessons

Concept

# Problem: Consider N parallel wires, each carrying a current i. If an Amperian loop was chosen that enclosed some of the wires, which of the following statements is true: (a) The line integral ∫ Bdl would be independent of the number of wires enclosed (b) The line integral ∫ Bdl would be independent of the radius of the Amperian loop (for a given number of wires enclosed) (c) Halving the number of wires enclosed would reduce the line integral ∫ Bdl by 1/4 (d) The line integral ∫ Bdl is independent of the current in each wire i, only depending on the number of wires enclosed

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###### Problem Details

Consider N parallel wires, each carrying a current i. If an Amperian loop was chosen that enclosed some of the wires, which of the following statements is true:

(a) The line integral ∫ Bdl would be independent of the number of wires enclosed

(b) The line integral ∫ Bdl would be independent of the radius of the Amperian loop (for a given number of wires enclosed)

(c) Halving the number of wires enclosed would reduce the line integral ∫ Bdl by 1/4

(d) The line integral ∫ Bdl is independent of the current in each wire i, only depending on the number of wires enclosed