5.Magnetism and Matter
hard

What is pole strength of a bar magnet ? Show the magnetic dipole moment in terms of pole strength.

Option A
Option B
Option C
Option D

Solution

The strength of magnetic pole is called pole strength.

Magnetic dipole moment per unit length of magnet is called pole strength of magnet.

Charge $q$ is like that in equations of static electricity, likewise pole strength is in magnetism.

Pole strength is denoted by $q_{m}$ or $P$.

Pole strength depend on the type of material of magnet, its magnetization position and area of cross section $(A)$ of magnet.

It is a scalar quantity.

The unit of pole strength is ampere meter $(Am)$.

If the length of bar magnet is $(2l)$ and pole strength $q_{m}$ then magnetic dipole moment, $\vec{m}=q_{m}(\overrightarrow{2 l})$

The direction of $\vec{m}$ is from $\mathrm{S}$ to $\mathrm{N}$.

From this equation unit of $m$ is $\mathrm{Am}^{2}$.

$\therefore q_{m}=\frac{\overrightarrow{\mathrm{F}_{m}}}{\overrightarrow{\mathrm{B}}} \quad \therefore q_{m}=\mathrm{F}_{m}[\because \mathrm{B}=1 \mathrm{~T}]$

and $\overrightarrow{\mathrm{F}_{m}}=\left(q_{m}\right)(\overrightarrow{\mathrm{B}})$

(This equation is similar to static electricity as per $\vec{F}=q(\vec{E})$ ).

Standard 12
Physics

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