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A semicircular arc of radius $r$ and a straight wire along the diameter, both are carrying same current $i$. Find out magnetic force per unit length on the small element $P$, which is at the centre of curvature.

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The correct answer is:
$\left(\frac{\mu_0 i^2}{4 r}\right)$
The magnetic force on a conductor, $F=B i \ell$
Magnetic force per unit length,
$\frac{F}{\ell}=B i=\left(\frac{\mu_0 i^2}{4 r}\right)$
Magnetic force per unit length,
$\frac{F}{\ell}=B i=\left(\frac{\mu_0 i^2}{4 r}\right)$
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