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Q.

Two circular coils are made of two identical wires of length 20 cm. One coil has number of turns 9 and the other has 3. If the same current flows through the coils then the ratio of magnetic fields of induction at their centres is

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a

3 : 1

b

9 : 1

c

1 : 9

d

1 : 3

answer is B.

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Detailed Solution

detailed_solution_thumbnail

l=n×2πr⇒r∝1n→(1)B=μ0ni2r⇒B∝nr→(2)
from (1) and (2), B∝n2
B1B2=n12n22=9×93×3=91

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