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  4. Due to a small magnet, intensity at a distance x in the end on position is 9 gauss. What will be the intensity at a distance (x/2) on broad side on position?

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Q. Due to a small magnet, intensity at a distance $x$ in the end on position is $9$ gauss. What will be the intensity at a distance $\frac{x}{2}$ on broad side on position?

Magnetism and Matter

Solution:

In C.G.S, $B_{\text {axial }}=9=\frac{2 M}{x^{3}}$ ...(i)
$B_{\text {equatorial }}=\frac{M}{\left(\frac{x}{2}\right)^{3}}=\frac{8 M}{x^{3}}$ ...(ii)
From equations (i) and (ii), $B_{\text {equatorial }}=36$ gauss