To apply Ampere's law to find the magnetic field inside an infinite solenoidi In this problem we will apply Ampere's law, written integral B vector vector middot dl vector = mu_0 I_encL, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures)

To apply Ampere's law to find the magnetic field inside an infinite solenoidi In this problem we will apply Ampere's law, written integral B vector vector middot dl vector = mu_0 I_encL, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each carrying current I. It is usual to assume that the component of the current along the z axis is negligible. (This may be assured by winding two layers of closely spaced wires that spiral in opposite directions.) From symmetry considerations it is possible to show that far from the ends of the solenoid, the magnetic field is axial What is I_encL, the current passing through the chosen loop? Express your answer in terms of L (the length of the Amperean loop along the axis of the solenoid) and other variables given in the introduction. Find B_in, the z component of the magnetic field inside the solenoid where Ampere's law applies. Express your answer in terms of L, D, n, I, and physical constants such as mu_0. B_in = mu_0 nI What is B_out, the z component of the magnetic field outside the solenoid?