$77.$ A square coil with $25$ loops of wire has sides of $1\mathrm{.}80$ cm $.$ The resistance of the coil is $\backslash (0\mathrm{.}35\backslash$Omega $\backslash ).$ A uniform magnetic field points along the axis of the coil as shown. The magnetic field changes from $0\mathrm{.}00$ T to $0\mathrm{.}50$ T in $0\mathrm{.}80$ s $.$

a$.$ Find the induced voltage $($emf$)$ in the coil.

b$.$ Find the induced current in the wires.

c$.$ Find the direction of the induced magnetic field.