Magnetic Effects Of Current Question 81
Question: Magnetic field due to a ring having n turns at a distance x on its axis is proportional to (if r = radius of ring) [RPET 2000]
Options:
A) $ \frac{r}{(x^{2}+r^{2})} $
B) $ \frac{r^{2}}{{{(x^{2}+r^{2})}^{3/2}}} $
C) $ \frac{nr^{2}}{{{(x^{2}+r^{2})}^{3/2}}} $
D) $ \frac{n^{2}r^{2}}{{{(x^{2}+r^{2})}^{3/2}}} $
Show Answer
Answer:
Correct Answer: C
Solution:
Magnetic field on the axis of circular current $ B=\frac{{\mu_{0}}}{4\pi }\cdot \frac{2\pi nir^{2}}{{{(x^{2}+r^{2})}^{3/2}}} $
Þ $ B\propto \frac{nr^{2}}{{{(x^{2}+r^{2})}^{3/2}}} $
BETA
