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.

Question

Philoid · Accepted Answer

Here, we have a particular value of No. of turns per unit Length and Current in the coil in order to obtain the given magnetic field.

The Required Magnetic field B = 100 G = 100 × 10^–4= 10^–2 T

Maximum Number of turns per unit length, n = 1000/m

Maximum Current flowing in the coil, I = 15 A

Permeability of free space, μ₀ = 4π × 10^–4TmA^-1

We know magnetic field for a solenoid is given by

B =