일반물리학 2 — Induction and Inductance: Problem 4

4 A coil C of N turns is placed around a long solenoid S of radius R and n turns per unit length, as in Fig. 30-22. (a) Show that the mutual inductance for the coil–solenoid combination is given by \( M = \mu_0 \pi R^2 n N \). (b) Explain why M does not depend on the shape, size, or possible lack of close packing of the coil.