A current I flows counterclockwise as seen from above through each turn of a long air core cylindrical shaped solenoid that has N turns, length h, and radius a. Ignore edge effects.
N turns; each turn carries a current I
(Part d) Derive an expression for the magnitude of the magnetic field inside the solenoid. Draw the direction of the magnetic field on the sketch above.
Symbolic Check
Write your answer using some or all of the following: I, N, h, a, and 'mu_0' for μ₀.
(Part e) What is the self-inductance of the solenoid?
Symbolic Check
Write your answer using some or all of the following: I, N, h, a, 'mu_0' for μ₀, and 'pi' for π.