Magnetic Effects Of Current Question 445
Question: A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the Loop will be:
Options:
A) $ \frac{2{\mu_{0}}Ii}{3\pi } $
B) $ \frac{{\mu_{0}}Ii}{2\pi } $
C) $ \frac{2{\mu_{0}}IiL}{3\pi } $
D) $ \frac{{\mu_{0}}IiL}{2\pi } $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] The net force on the loop $ F_{net}=F_{AB}+F_{BC}+F_{CD}+F_{AD} $
$ \Rightarrow ,F_{net}=\frac{{\mu_{0}}iI}{\pi }-\frac{{\mu_{0}}iI}{3\pi }=\frac{2{\mu_{0}}iI}{3\pi } $