An elliptical loop of wire has an area of 2m^2.The magnetic field coming out of the page starts from zero and increases according to B(t)=3t^3 Tesla.(a)At what point in time will the voltage measured across 10 ohm resistor is 1 volt.(b)What will be the magnitude and direction of current at this time

B=2t^3

dB/dt=6t^2

voltage=dB/dt)area
voltage=6t^2*2=12t^2
t=sqrt(1/12)

current? V/R

direction> use your finger rules, I can't determine from description of problem.