Liana and Beatrice are arguing (they do that a lot) over who can generate the hi

Question

Liana and Beatrice are arguing (they do that a lot) over who can generate the highest average voltage using a single loop of copper wire that is 10 centimeters in diameter. They are using a constant magnetic field of 1.85 T for this experiment. Liana argues that the most effective way to generate an EMF is to squish the circle, thereby reducing its area to zero, in 1/10 of a second. Beatrice states that starting from a position of maximum flux and rotating the copper loop through an angle of 90° in 1/10 of a second would generate more EMF. Who's correct? (Numerically justify your answer. Clearly state any assumptions.) Liana and Beatrice are arguing (they do that a lot) over who can generate the highest average voltage using a single loop of copper wire that is 10 centimeters in diameter. They are using a constant magnetic field of 1.85 T for this experiment. Liana argues that the most effective way to generate an EMF is to squish the circle, thereby reducing its area to zero, in 1/10 of a second. Beatrice states that starting from a position of maximum flux and rotating the copper loop through an angle of 90° in 1/10 of a second would generate more EMF. Who's correct? (Numerically justify your answer. Clearly state any assumptions.)

Explanation / Answer

for Liana

emf induced = magnetic field * change in area/t

emf induced = 1.85 * (pi * (0.10/2)^2)/(1/10)

emf induced = 0.145 V

for Beatrice

emf induced = change in flux/time

emf induced = 1.85 * pi * (0.10/2)^2 * (cos(0degree) - cos(90 degree))/(1/10)

emf induced = 0.145 V

the emf induced is same for both persons

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