A magnetic field of 100 G (1 G = 10–4 T) is required which is uniformin a region of linear dimension about 10 cm and area of cross-sectionabout 10–3 m2. The maximum current-carrying capacity of a givencoil of wire is 15 A and the number of turns per unit length that canbe wound round a core is at most 1000 turns m–1. Suggest someappropriate design particulars of a solenoid for the required purpose.Assume the core is not ferromagnetic.
Given: The magnetic field strength is 100 G , the numbers of turns per unit length are 1000 turns / m and the current in the coil 15 A .
The magnetic field is given as,
B = μ 0 n I
Where, the magnetic field strength is B , the current in the coil, the numbers of turns are n and the permeability of free space is μ 0 .
By substituting the given values in the above formula, we get
B = μ 0 n I n I = 100 × 10 − 4 4 π × 10 − 7 = 7957.74 A / m
Thus, one such combinations for 100 G magnetic may have length 50 cm , the radius 4 cm , turns 400 and current 10 A .
Thus, there is a possibility of some adjustments with limits and design particulars.
Given: The magnetic field strength is
The magnetic field is given as,
Where, the magnetic field strength is
By substituting the given values in the above formula, we get
Thus, one such combinations for
Thus, there is a possibility of some adjustments with limits and design particulars.
