Qstnid -15- A Magnetic Field Of 100 G (1 G = 10<sup>-4</sup> T) Is Required Which Is Uniform In A Region Of Linear Dimension About 10 Cm And Area Of Cross-section About 10<sup>-3</sup> M<sup>2</sup>. 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<sup>-1</sup>. Suggest Some Appropriate Design Particulars Of A Solenoid For The Required Purpose. Assume The Core Is Not Ferromagnetic - 04: Moving Charges And Magnetism - Neet-xii-physics

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NEET-XII-Physics

04: Moving Charges And Magnetism

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Qstn# 15 Prvs-Qstn Next-Qstn

#15
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

Ans : 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, =

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.