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Q)

The wires which connected the battery of an automobile to its starting motor carrying a current of $300\;A$ (for a short time ). What is the force per unit length between the wires , if they are $70\;cm$long and $1.5 \;cm$ apart? Is the force attractive or repulsive ?

$\begin{array}{1 1} F=0.12 \;N/m,attractive \\ F=0.12N/m,repulsive \\ F= 1.12N/m,attractive \\ F=1.12N/m,repulsive \end{array} $

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A)
Solution :
given $I_1= I_2 = 300\;A$
$r= 1.5\;cm$
$\quad= 1.5 \times 10^{-2}\;m$
$l= 70\;cm$
$F= \large\frac{\mu_0}{4 \pi}.\frac{2I_1 I_2}{r}$
$\quad= \large\frac{10^{-7} \times 2 \times 300 \times 300}{1.5 \times 10^{-2}}$
$ \quad=0.12N/m,repulsive$
Answer : $ F=0.12N/m,repulsive$
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