Effect of a conducting shield on the inductance of an air-core solenoid

A magnetostatic integral equation for the current induced by a solenoidal i nductor in the conducting wall of a closed, perfectly conducting cylindrica l shield nas solved by the method of moments and point matching. The induce d current was then used to determine the self inductance of the solenoid. A chart of the ratio of the shielded inductance to that in free space was pr oduced to aid in the design of practical air-core inductors. In addition, W heeler's well-known formula for the free-space inductance of a single-layer solenoid nas shown to be sufficiently accurate to serve as a basis for the design of practical coils if the effect of the shield, available from the chart, is included.