Question:
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 m². 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

Answer:

Magnetic field strength, B = 100 G = 100 × 10^{- 4} T

Number of turns per unit length, n = 1000 turns m^{- 1}

Current flowing in the coil, I = 15 A

Permeability of free space, µ₀= 4π x 10^-7TmA^-1

Magnetic field is given by the relation,

If the length of the coil is taken as 50 cm, radius 4 cm, number of turns 400, and current 10 A, then these values are not unique for the given purpose. There is always a possibility of some adjustments with limits.

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Taking Screenshots on your Samsung Galaxy M31s is very easy and quick.

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Taking Screenshots on your Samsung Galaxy M31s is very easy and quick.

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Taking Screenshots on your Samsung Galaxy M31s is very easy and quick.

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