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  4. A toroid with thick windings of N turns has inner and outer radii R1 and R2 respectively. If it carries certain steady current I, the variation of the magnetic field due to the toroid with radial distance is correctly graphed in

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Q. A toroid with thick windings of $N$ turns has inner and outer radii $R_{1}$ and $R_{2}$ respectively. If it carries certain steady current I, the variation of the magnetic field due to the toroid with radial distance is correctly graphed in

KCETKCET 2021Moving Charges and Magnetism

Solution:

image
$B =\mu_{0} nI$
where $n =\frac{ N }{2 \pi r }$
$B=\frac{\mu_{0} N I}{2 \pi\left(\frac{R_{1}+R_{2}}{2}\right)} $
$B=\frac{\mu_{0} N I}{\pi\left(R_{1}+R_{2}\right)}$