Eight identical rectangular loops with their widths equaling twice their lengths

Question

Eight identical rectangular loops with their widths equaling twice their lengths are moving to the right in the vicinity of a region in which there is a uniform magnetic field coming out of the page. The rectangular loops are being pushed to the right at various constant speeds, as indicated on the diagram. The loops have various portions (25%, 50%, 75%, or 100%) within the field, as shown. Rank the magnitude of the rate of change of the magnetic flux through each loop at the instant shown. If several loops have equivalent values, please list them in alphabetical order.

Incorrect 0/ 2 pts Question 9 Eight identical rectangular loops with their widths equaling twice their lengths are moving to the right in the vicinity of a region in which there is a uniform magnetic field coming out of the page. The rectangular loops are being pushed to the right at various constant speeds, as indicated on the diagram The loops have various portions (25%, 50%, 75%, or 100%) within the field, as shown. Rank the magnitude of the rate of change of the magnetic flux through each loop at the instant shown. If several loops have equivalent values, please list them in alphabetical order v=8cm/s m/s v=6cm/s v=6cm/s All loops moving to the right D-E-G>B-C-F-H:A

Explanation / Answer

Rate of change of magnetic flux will be,

B.dA/dt

B.l.dx/dt

BLV

WE know that change in magnetic flux B, D,E and H will be zero, as the magnetic field inside the loop is not changing with time.

ALso, in in C and F it will be negative as the area insisde the field is decreasing with time.

And the magnitude of C and F will be same as,

rate of change in magnetic flux will be Bvl where L is the length of the side which is perpendicular to the direction of motion.

And in G and A, G will have a higher rate of magetic flux.So it will be,

G>A>B=D=E=H>C=F

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