A square, $25-$turn coil that is $15\mathrm{.}0cm15\mathrm{.}0cm($so $15\mathrm{.}0$ cm on a side$)$ with a resistance of $0\mathrm{.}780$ is placed between the poles of a large electromagnet. The electromagnet produces a uniform magnetic field of $0\mathrm{.}500$ T directed into the page. As suggested by the figure below, the magnetic field drops sharply to zero at the edges of the magnet. The coil moves to the right at a constant velocity of $3\mathrm{.}40c\frac{m}{s}.$ Indude the current direction in your answers by defining counterclockwise current flowing around the coil as positive and clockwise current as negative.

Hint: this is a Faraday & Lenz problem where the flux change over time shows up in the area of the coil immersed in the magnetic field $($length is constant, but the width immersed may change over time$).$

a$.$ What is the numerical value of the current $I_1$ through the wire coil before the coil reaches the right edge of the field?

b$.$ What is the numerical value of the current $I_2$ through the wire coil while the coil is leaving the magnetic field $($perhaps it is half immersed and half outside$)?$

c$.$ What is the numerical value of the current $I_3$ through the wire coil after the coil completely leaves the magnetic field $($no part of it is immersed$)?$

d$.$ How much charge $($total charge magnitude$)|Q|$ flows past a given point in the coil as it leaves the magnetic field? Hints: How is flowing charge related to current? How much time does it take for the coil to completely exit the magnetic field?