30. Induction and Inductance

The current in Fig. $E29.18$ obeys the equation $I\left(t\right)=I_0{e}^{-bt}$, where $b>0$. Find the direction (clockwise or counterclockwise) of the current induced in the round coil for $t>0$.

A single loop of wire with an area of 0.0900 m² is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s. If the loop has a resistance of 0.600 Ω, find the current induced in the loop.