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Question

Physics Question on Magnetic Field

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

A

7.5 Tesla

B

10.5 Tesla

C

4.5 Tesla

D

15.5 Tesla

Answer

10.5 Tesla

Explanation

Solution

B=μoμr[N2πr]IB=\mu o\mu r\left[\frac{N}{2\pi r}\right]I B=700×4π×107[250×1002×π×0.5]×1.5B=700\times4\pi\times10^{-7}\left[\frac{250\times100}{2\times\pi\times0.5}\right]\times1.5 =1400×107×103×1.50.5=\frac{1400\times10^{-7}\times10^{3}\times1.5}{0.5} =75??1400??104= 75 ??1400 ??10^{-4} Tesla =75??14??102= 75 ??14 ??10^{-2} Tesla =1050??102= 1050 ??10^{-2} Tesla = 10.5 Tesla