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Q.

Two identical wires are wound into circular coils of radii r and 2r. Now they are connected in series across a battery. The ratio of magnetic inductions at their centers is

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a

1 : 4

b

2 : 1

c

1 : 2

d

4 : 1

answer is C.

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Detailed Solution

B=μ0Ni2π N=1RBαNR⇒Bα1R2B1B2=R2R12

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Two identical wires are wound into circular coils of radii r and 2r. Now they are connected in series across a battery. The ratio of magnetic inductions at their centers is