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Question

Two circular coils are made of two identical wires of the same length. If the number of turns of the two coils are 4 and 2, then the ratio of magnetic inductions at the centres will be:

A
4 : 1
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B
2 : 1
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C
1 : 2
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D
1 : 1
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Solution

The correct option is B 4 : 1
l=N12πr1=N22πr2
r1r2=N2N1...(1)
also B1=μoNI2r ,...(2) current is same for both
using eqation 1 and 2.
B1B2=N1r2N2r1=N22N21=16/4=4

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