A magnetic field of 100 G `(1 G = 10^-4 T)` is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about `10^-3 m^2`. The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns `m^-1` . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.