Two circular coils have diameters 10cm and 20cm with same number of turns. The ratio of the magnetic field induction produced at the centre of the coils when connected in series is

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1 : 4

2 : 1

1 : 2

4 : 1

answer is B.

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Detailed Solution

$B \propto \frac{n}{r} \Rightarrow \frac{B_{1}}{B_{2}} = \frac{n_{1}}{n_{2}} \times \frac{r_{2}}{r_{1}} \Rightarrow \frac{B_{1}}{B_{2}} = \frac{1 \times 20}{1 \times 10} = \frac{2}{1}$

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