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The magnetic field at the centre of a circular coil of radius $r$ carrying current $/$ is $B_1$. The field at the centre of another coil of radius $2 r$ carrying same current $/$ is $B_2$. The ratio $\frac{B_1}{B_2}$ is
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$B \propto \frac{1}{r} \Rightarrow \frac{B_1}{B_2}=\frac{r_2}{r_1}=\frac{2 r}{r}=2$
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