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5.Magnetism and Matter
medium
Two short bar magnets of magnetic moments ' $M$ ' each are arranged at the opposite corners of a square of side ' $d$ ', such that their centres coincide with the corners and their axes are parallel to one side of the square. If the like poles are in the same direction, the magnetic induction at any of the other corners of the square is
A
$\frac{\mu_0}{4 \pi} \frac{M}{d^3}$
B
$\frac{\mu_0}{4 \pi} \frac{2 M}{d^3}$
C
$\frac{\mu_0}{2 \pi} \frac{M}{d^3}$
D
$\frac{\mu_0}{2 \pi} \frac{2 M}{d^3}$
Solution
(a)
$B_{\text {net }}=B_2-B_1$
$=\frac{\mu_0}{4 \pi}\left(\frac{2 M}{d^3}\right)-\frac{\mu_0}{4 \pi}\left(\frac{M}{d^3}\right)$
$=\frac{\mu_0}{4 \pi} \frac{M}{d^3}$
Standard 12
Physics
