What is the magnitude of the magnetic field at some point inside the solenoid, a

Question

What is the magnitude of the magnetic field at some point inside the solenoid, at a distance ri <R from the central axis? Express in terms of R, ri, n, I, uo.

Assuming that the solenoid can be approximated as an infinitely long, tightly wound coil, which of the following are symmetries (or antisymmetries) of this system? Keeping in mind the symmetries identified above, choose the best Amperian path to use for calculating the magnetic field at a point inside the solenoid. What is the magnitude of the magnetic field at some point inside the solenoid, at a distance ri

Explanation / Answer

2nd question is a rectangle in the r-z plane, partially inside the solenoid (figure C below)

4th question is postitive z direction

not sure about the other two good luck

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