Question

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 at point P.

• A. $\left(\frac{\mu_{0}i^{2}}{4r}\right)$
• B. $\left(\frac{\mu_{0}i^{2}}{2r}\right)$
• C. $\left(\frac{\mu_{0}i^{2}}{r}\right)$
• D. $\left(\frac{2\mu_{0}i^{2}}{r}\right)$

Answer 1

Answer: (A)

$\left(\frac{\mu_{0}i^{2}}{4r}\right)$

Answer 2

F = Bil $\frac{F}{l}=Bi=\left(\frac{\mu_0 i^{2}}{4r}\right)$