Physics - Magnetism Question with Solution | TestHub

The magnetic intensity $H$ is defined as the product of the number of turns per unit length in a coil $n$ and the current that it carries$I$.

The magnetic field of a solenoid is given by $B={\mu }_{0}ni$

$$\begin{gathered} H=\frac{\mathrm{B}}{{\mathrm{\mu }}_0}=\frac{{\mu }_{0}ni}{{\mu }_0} \\ \Rightarrow H=ni ...\left(i\right) \end{gathered}$$

The given data is 

$H=1.6\times {10}^3 \mathrm{A} {\mathrm{m}}^{-1}$

$n=8$ per $\mathrm{cm}$

Substituting the values in equation (i)

$\Rightarrow 1.6\times 1000=\frac{8}{{\displaystyle \frac{1}{100}}}\times i$

$\Rightarrow i=2 \mathrm{A}$