Answer
a) zero
b) $-BvW $
c) zero
d) for part(a) and part(c), the induced current $ I=0$; for part(b), the induced current is counter clockwise and field is out of the page.
Work Step by Step
(a) We know that since the magnetic field is uniform, hence the rate of change of the magnetic flux through the loop is zero.
(b) The induced emf is given as
$\epsilon=-N(\frac{\Delta \phi}{\Delta t})$
$\implies \epsilon=-N(\frac{0-BA}{\Delta t})$
$\implies \epsilon=-(1)(\frac{(B)(LW)}{\frac{L}{v}})$
This simplifies to:
$\epsilon=-BvW $
(c) As the magnetic filed is zero, the rate of change of magnetic flux is zero when the loop is fully within the zero field region.
(d) We know that for part(a) and part(c), the induced current $ I=0$. For part(b), the induced current is counter clockwise generating an out-of-the-page field.
