Two identical short bar magnets, each having | vedclass

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Question

At point $P$ net magnetic field ${B_{n\infty }} = \sqrt {B_1^2 + B_2^2} $

where ${{	ext{B}}_1} = \frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{2{

Vedclass · Accepted Answer

$\frac{{{\mu _0}}}{{4\pi }}\,\left( {\sqrt 5 } \right)\frac{M}{{{d^3}}}$

Vedclass · Answer

At point $P$ net magnetic field ${B_{n\infty }} = \sqrt {B_1^2 + B_2^2} $

where ${{	ext{B}}_1} = \frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{2{	ext{M}}}}{{{{	ext{d}}^3}}}\,and\,{{	ext{B}}_2} = \frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{	ext{M}}}{{{{	ext{d}}^3}}}$

$ \Rightarrow {{	ext{B}}_{{	ext{rest}}}} = \frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{\sqrt 5 {	ext{M}}}}{{{{	ext{d}}^3}}}$

Two identical short bar magnets, each having magnetic moment $M$ are placed a distance of $2d$ apart with axes perpendicular to each other in a horizontal plane. The magnetic induction at a point midway between them is

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