Consider a toroidal core, as shown in Figure has a relative permeability of 1000, R = 5 cm, and r = 2 cm. Two windings are wound on the core, one with 200 turns and the other with 400 turns. A voltage source described by v(t) = 10 cos(105t) is applied to the 200-turn coil, and the 400-turn coil is open circuited. Determine the current in the 200-turn coil and the voltage across the 400-turn coil. Assume that all of the magnetic flux is confined to the core and that the current is a pure sine wave