A magnetic field of `100 G (1 G=10^(-4) T)` is required which is unifrom in a region of ilinear 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.

Explanation

Magnetic field `B=100 G = 100xx10^(-4) T=10^(-2) T`
Maximum current `I=15 A, n=1000//m`
The magnitude of magnetic field `B=mu_(0) n I`
`nI=(B)/(mu_(0))=(10^(-2))/(4xx3.14xx10^(-7))`
`rArr nI =7961 ~~ 8000`
Here, the product of n I is 8000. So,
Current I=8A and no. of turns =1000
The other design is I=10 a and n=800/m. This is the most appropriate design as the requirement.