SAT Subject Physics Practice Question 102: Answer and Explanation

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Question: 102

2. The circle and ellipse below have the same area.

If both loops are held so that their plane is perpendicular to a uniform magnetic field, B, how would ΦC, the magnetic flux through the circular loop, compare to ΦE, the magnetic flux through the elliptical loop?

A. ΦC = 2.5ΦE
B. ΦC = ΦE
C. ΦC = ΦE
D. ΦE = ΦC
E. ΦE = 2.5ΦC

Correct Answer: C

Explanation:

If the plane of a loop enclosing an area A is perpendicular to a uniform magnetic field of strength B, then the magnetic flux through the loop, ФB, is simply equal to the product BA. Since both these loops have the same area, the magnetic fluxes through them will be the same, regardless of their shape.

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