An AC current source is connected to an inductor with an inductance L = 2 H. At time t = 0, the current through the inductor is io = 0 A. The power supply provides a time-dependent current i through the inductor as described by the following equation: i(t)=10 cos(wt), where w= 500 rad/s. The current is measured in units of Amps. Determine the current through the inductor, in amperes, at time t = 3.5 sec.