The Total solution for NCERT class 6-12
A magnetic field of 100 G (1 G =10тИТ4┬аT) is required which is uniform in a region of lineardimension about 10 cm and area of cross-section about 10тИТ3┬аm2.The maximum current-carrying capacity of a given coil of wire is 15 A and thenumber of turns per unit length that can be wound round a core is at most 1000turns mтИТ1. Suggest some appropriate design particulars of a solenoidfor the required purpose. Assume the core is not ferromagnetic
Magnetic field strength,┬аB┬а=100 G = 100 ├Ч 10тИТ4┬аT
Number of turns per unitlength,┬аn┬а= 1000 turns mтИТ1
Current flowing in thecoil,┬аI┬а= 15 A
Permeability of free space,┬а=┬а
If the length of the coil istaken as 50 cm, radius 4 cm, number of turns 400, and current 10 A, then thesevalues are not unique for the given purpose. There is always a possibility ofsome adjustments with limits.