Magnetic Effects Of Current Question 149
Question: A wire of length L metre carrying a current of I ampere is bent in the form of a circle. Its magnitude of magnetic moment will be [MP PET 1995; MH CET 2004]
Options:
A) $ \frac{IL}{4\pi } $
B) $ \frac{IL^{2}}{4\pi } $
C) $ \frac{I^{2}L^{2}}{4\pi } $
D) $ \frac{I^{2}L}{4\pi } $
Show Answer
Answer:
Correct Answer: B
Solution:
If the radius of circle is r, then $ 2\pi r=L\Rightarrow r=\frac{L}{2\pi } $ Area $ =\pi r^{2}=\frac{\pi L^{2}}{4{{\pi }^{2}}}=\frac{L^{2}}{4\pi } $ Magnetic moment $ =IA=\frac{IL^{2}}{4\pi } $
BETA
