A rectangular loop with sides of length a= 1.80 cm and b= 4.50 cm is placed near a wire that carries a current that varies as a function of time: i(t)=3.14 + 1.38t^2 where the current is in Amperes and the time is in seconds. The distance from the straight wire to the closest side of the loop is d= 0.550 cm.
a)What is the magnetic flux through the loop at time t= 2.10 seconds?
b) What is the induced e.m.f. in the loop at time t= 2.10 seconds?