Prоblem B.1 (5 Pоints) Design а lоng solenoid-bаsed inductor of inductаnce 1mH under the following constraints. Note there are multiple answers to this problem. Relative permeability of solenoid core is 5000. Number of turns of wire per unit length is fixed to 1000 turns per meter. Minimum radius of core is 10 mm. Problem B.2 (10 Points) A circular loop of 1 turn lies with radius ρ(t) on the x-y plane in the presence of magnetic field intensity of