Problem #$2$: $20$ pts

A square wire loop with $2\mathrm{.}00$ m sides is placed so the plane of the loop is perpendicular to a uniform magnetic field that is pointing out of the page. As shown in the figure below half of the area of the loop is in the field. The loop contains an ideal battery with $E=20V$ and the magnitude of the field varies with time according to $B=0\mathrm{.}0420-{0\mathrm{.}870}^{**}t.$ The magnetic field is given in units of Teslas and time in seconds.

A$.$ Find the total EMF $E_{\text{T}\text{O}\text{T}}$ in the circuit.

B$.$ Find the direction of the net current around the loop.