In the gure, the magnetic ux through the loop increases according to the relation $=7\mathrm{.}8$t $+5\mathrm{.}3$t$,$ where $$ is in milliwebers and t is in seconds. $($a$)$ What is the magnitude of the emf induced in the loop when t $=2\mathrm{.}7$ s$?($b$)$ Is the direction of the current through R to the right or left?