Two tangent galvanometers A and B have coils of radii 8 cm and 16 cm respectively and resistance 8 Ω each. They are connected in parallel with a cell of emf 4 V and negligible internal resistance. The deflections produced in the tangent gal

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Two tangent galvanometers A and B have coils of radii 8 cm and 16 cm respectively and resistance 8 Ω each. They are connected in parallel with a cell of emf 4 V and negligible internal resistance. The deflections produced in the tangent galvanometers A and B are 30 ° a n d 60 ° respectively. If A has 2 turns, then the number of turns B must have is

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Correct answer: 12

Current in tangent galvanometer I = 2 r B H μ 0 N tan ⁡ θ . . i From Eq. (i), we get r tan ⁡ θ N = μ 0 I 2 B H = same for both ∴ r A tan ⁡ θ A N A = r B tan ⁡ θ B N B ⇒ 8 × 1 2 3 = 16 3 N B ∴ N B = 12 t u r n s

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