A rectangular loop of wire has sides a $=0\mathrm{.}015$ m and b $=0\mathrm{.}055$ m$,$ and resistance R $=35.$ It moves with speed v $=4\mathrm{.}5$ m$/$s into a magnetic field with magnitude B $=0\mathrm{.}85$ T$.$

Part $($a$)$

As the loop enters the magnetic field, express the magnitude of the magnetic flux going through the loop in terms of the given variables and t$,$ the time since the right side of the loop first entered the field.$$ Part $($b$)$

Express the magnitude of the emf, $,$ induced in the loop in terms of B$,$ a$,$ and v$.$

$$ Part $($c$)$

Calculate the numerical value of the magnitude of the emf in V$.$

$$ Part $($d$)$

Express the current induced in the loop in terms of and R$.$

$$ Part $($e$)$

Calculate the numerical value of I$1$I$1$ in A$.$

$$ Part $($f$)$

What$$s the direction of the current?

$$ Part $($g$)$

Following a similar procedure, calculate the magnitude of the current in amperes produced in the loop as it leaves the magnetic field. It leaves the magnetic field with the same speed.

$$ Part $($h$)$

What is the direction of the current?