Inside a coil of 400 turns and 18 cm long, another coil is placed in its center, which has a quarter of the number of turns as the first and its diameter is 8 cm. Furthermore, it is known that the radius of the outer coil is twice as large with respect to the inner coil, while the length of the latter is one third of the length of the outer coil. The initial current is i = 4t2-t. b) Determine the direction and magnitude of the induced curr

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Inside a coil of 400 turns and 18 cm long, another coil is placed in its center, which has a quarter of the number of turns as the first and its diameter is 8 cm. Furthermore, it is known that the radius of the outer coil is twice as large with respect to the inner coil, while the length of the latter is one third of the length of the outer coil. The initial current is i = 4t2-t.

b) Determine the direction and magnitude of the induced current, if the resistance is 50 Ω

c) Determine the magnitude of the induced emf if the number of turns of both coils it is cut in half

d) What would happen if a ferromagnetic material is placed inside both coils with a relative permeability of 4000?

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