Solution: 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 integralĀ ā« Bdl would be independent of the number of wires enclosed
(b) The lineĀ integralĀ ā« 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 lineĀ integralĀ ā« Bdl by 1/4
(d) The lineĀ integralĀ ā« Bdl is independent of the current in each wire i, only depending on the number of wires enclosed

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