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As shown above, a rectangular loop of wire is initially situated with part of its area within a magnetic field, and part of its area outside the field. The field has strength $B$ and is directed out of the plane of the page. The loop is in the plane of the page, perpendicular to the field, and has dimensions of $X$ by $Y$, as shown in the diagram.

What is the value of the induced emf in the loop, when the loop is pushed up the page into the field at constant speed $v?$

A

$\cfrac{Bv}{X}$

B

$\cfrac{Bv}{Y}$

C

$BXv$

D

$BYv$

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