A solenoid has length 120 cm and diameter 4.0 cm. A toroid has a square cross se

Question

A solenoid has length 120 cm and diameter 4.0 cm. A toroid has a square cross section, 4.0 cm on a side, and an inner radius of 16 cm. Both have 400 turns, and each carries a current of 2.5 A.

(a) Determine the magnitude of the magnetic field inside the solenoid.

(b) Determine the magnitude of the magnetic field inside the toroid at the inner radius.

(c) Determine the magnitude of the magnetic field inside the toroid at the outer radius.

These are my teachers requirements if you could please follow them I would really appreciate it thank you :)

In addition to being neat and clear, and actually answering the question, you must:

1) show the original principle (often in equation form)

2) substitute variables as needed

3) solve it first (before substituting numbers)

4) show every substitution (with units and correct sig figs)

5) present a boxed answer (with units and correct sig figs)

In a Force problem in more than one dimension, you MUST start with a Free Body Diagram.

Explanation / Answer

Part A:

The equation for the magnetic field of a solenoid with Length (L) much greater than it's Radius (R) is:

Magnetic field inside the solenoid B = o (Ni/L) = 4*pi*10-7*400*2.5 / 1.2 = 1.0472*10-3 T

Magnetic field inside the solenoid B =  1.0472*10-3 T

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