A 10 cm radius coil of wire is hooked up to a variable current source that produces a time-varying magnetic field of magnitude B(t)=100(t-0.02t2) near the center of the coil. A secondary 1000 turn coil of radius 1 cm is placed adjacent to the first coil. Calculate the maximum induced EMF generated in the secondary coil. Assuming that the secondary coil is made of aluminum, calculate the current induced in the secondary coil.