Q103 / 180 · AIIMS 2019 (25 May) · Physics
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.


- Correct answerA$\left(\frac{\mu_0 i^2}{4 r}\right)$
- B$\left(\frac{\mu_0 i^2}{2 r}\right)$
- C$\left(\frac{\mu_0 i^2}{r}\right)$
- D$\left(\frac{2 \mu_0 i^2}{r}\right)$
Solution
The magnetic force on a conductor, $F=B i \ell$
Magnetic force per unit length,
$\frac{F}{\ell}=B i=\left(\frac{\mu_0 i^2}{4 r}\right)$
Hence, the correct answer is option: 'A'.