Three conducting loops labeled X, Y, or Z are in the plane of the paper. Two are

Question

Three conducting loops labeled X, Y, or Z are in the plane of the paper. Two are rectangles and one is a square as shown below. The loops have equal areas and their centers are at equal distances from a very long wire, in the same plane, and carrying a currenti = 1.27 tA, wheretis in seconds.

Rank the magnitudes of the inducedEmf'sin the loops in order of INCREASING value. Smallest has rank 1, largest has rank 3. (If all are equal, all ranks = 1. If two are equal, ranks can be 1,1,3 or 1,2,2).
123Emfin Y ranks ...
123Emfin Z ranks ...
123Emfin X ranks ...

(incorrect)

Explanation / Answer

Emf d/dt = d( B*A ) /dt

Let the loop have a width of a

d = B dA = i/2y * ady

For larger d, we must have smaller y and larger 'a'

So Y>X>Z

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.