A flexible wire loop in the shape of a circle has radius that grown...

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A flexible wire loop in the shape of a circle has radius that grown linearly with time. There is a magnetic
\( \mathrm{P} \)
field perpendicular to the plane of the loop that has a
W
magnitude inversely proportional to the distance from the center of the loop, \( B(r) \propto \frac{1}{r} \). How does the emf E vary with time?
(1) \( E \propto t^{2} \)
(2) \( E \propto t \)
(3) \( E \propto \sqrt{t} \)
(4) \( E \) is constant
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