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Q. In toroid magnetic field on axis will be radius = 0.5 cm, current = 1.5A, turns = 250, permeability = 700.

AIIMSAIIMS 2019

Solution:

$B=\mu o\mu r\left[\frac{N}{2\pi r}\right]I$
$B=700\times4\pi\times10^{-7}\left[\frac{250\times100}{2\times\pi\times0.5}\right]\times1.5$
$=\frac{1400\times10^{-7}\times10^{3}\times1.5}{0.5}$
$= 75 × 1400 × 10^{-4}$ Tesla
$= 75 × 14 × 10^{-2}$ Tesla
$= 1050 × 10^{-2}$ Tesla
= 10.5 Tesla