4.15 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.
4.15 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.
4.15 Magnetic field strength, B = 100 G = 100 T
Number of turns per unit length, n = 1000 turns / m
Current flowing in the coil, I = 15 A
= Permeability of free space = 4 T m
Magnetic field is given by the relation,
B = or nI = = = 7957.75 A A
If the length of the coil is taken as 50 cm,
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Physics Ncert Solutions Class 12th 2023
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