Physics - Magnetism Question with Solution | TestHub

The magnetic induction along the axis of solenoid

$B={\mu }_{o}nI$

Where,$n=$number of turns per unit length

and$I=$current

$\because \frac{{\mu }_0}{4\pi }={10}^{-7}\mathrm{ T} {\mathrm{A}}^{-1}$

$\Rightarrow {\mu }_0=4\pi \times {10}^{-7}\mathrm{ T} {\mathrm{A}}^{-1}$

Given,$n=10\mathrm{ }{\mathrm{cm}}^{-1}=1000\mathrm{ }{\mathrm{m}}^{-1}$

$I=0.5 \mathrm{A}$

$\therefore B=4\pi \times {10}^{-7}\times 1000\times 0.5$

$=2\pi \times {10}^{-4}\mathrm{ T}$