#
**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

###### FREE Expert Solution

###### 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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Ampere's Law (Calculus) concept. You can view video lessons to learn Ampere's Law (Calculus) Or if you need more Ampere's Law (Calculus) practice, you can also practice Ampere's Law (Calculus) practice problems .

How long does this problem take to solve?

Our expert Physics tutor, Juan took 2 minutes to solve this problem. You can follow their steps in the video explanation above.