A) \[\frac{r}{({{x}^{2}}+{{r}^{2}})}\]
B) \[\frac{{{r}^{2}}}{{{({{x}^{2}}+{{r}^{2}})}^{3/2}}}\]
C) \[\frac{n{{r}^{2}}}{{{({{x}^{2}}+{{r}^{2}})}^{3/2}}}\]
D) \[\frac{{{n}^{2}}{{r}^{2}}}{{{({{x}^{2}}+{{r}^{2}})}^{3/2}}}\]
Correct Answer: C
Solution :
Magnetic field on the axis of circular current \[B=\frac{{{\mu }_{0}}}{4\pi }\cdot \frac{2\pi ni{{r}^{2}}}{{{({{x}^{2}}+{{r}^{2}})}^{3/2}}}\] Þ \[B\propto \frac{n{{r}^{2}}}{{{({{x}^{2}}+{{r}^{2}})}^{3/2}}}\]
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