A) \[\frac{1}{6}\]
B) \[\frac{1}{4}\]
C) \[\frac{1}{3}\]
D) \[\frac{1}{2}\]
Correct Answer: A
Solution :
\[{{r}_{1}}:{{r}_{2}}=1:2\] and \[{{B}_{1}}:{{B}_{2}}=1:3\] We know that \[B=\frac{{{\mu }_{0}}}{4\pi }.\frac{2\pi ni}{r}\Rightarrow \frac{{{i}_{1}}}{{{i}_{2}}}=\frac{{{B}_{1}}{{r}_{1}}}{{{B}_{2}}{{r}_{2}}}=\frac{1\times 1}{3\times 2}=\frac{1}{6}\]
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