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Magnetic Flux in a Non-Uniform Field
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A square loop with side length L moves at constant velocity v along the x-axis. Its plane remains perpendicular to a magnetic field that varies with position as $$B(x) = B_0 x^2$$, with x being the distance from the origin. How does the magnetic flux through the loop change as it moves?

A

It increases cubically with time

B

It increases quadratically with time

C

It increases linearly with time

D

It remains constant

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