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?

Question

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? (A) 9 gauss (B) 4 gauss (C) 36 gauss (D) 4.5 gauss

Tardigrade Admin · Accepted Answer

In C.G.S, B text axial =9=(2 M/x3) ...(i) B text equatorial =(M/((x)2)3)=(8 M/x3) ...(ii) From equations (i) and (ii), B text equatorial =36 gauss

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?

9 gauss

4 gauss

36 gauss

4.5 gauss

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

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 2x​ on broad side on position?