A) \[\frac{{{n}_{2}}}{{{n}_{1}}}\]
B) \[\frac{{{n}_{2}}}{{{n}_{1}}}.\frac{r_{2}^{2}}{r_{1}^{2}}\]
C) \[\frac{{{n}_{2}}}{{{n}_{1}}}.\frac{{{r}_{1}}}{{{r}_{2}}}\]
D) \[\frac{{{n}_{1}}}{{{n}_{2}}}\]
Correct Answer: A
Solution :
The mutual inductance of the inner coil \[M={{\mu }_{0}}{{n}_{1}}{{n}_{2}}\pi r_{1}^{2}\] ...(i) Self-inductance (L) of the inner coil is \[L={{\mu }_{0}}n_{1}^{2}\pi r_{1}^{2}\] ...(ii) Using (i) and (ii),\[\frac{M}{L}=\frac{{{n}_{2}}}{{{n}_{1}}}\]You need to login to perform this action.
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