A long solenoid has 200 turns per cm and carries a current i. The magnetic field at its centre is 6.28×10^–2Wb/m². Another long solenoid has 100 turns per cm and it carries a current i/3. The value of the magnetic field at its centre is

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1.05 × 10^–3 Wb/m²

1.05 × 10^–5 Wb/m²

1.05 × 10^–4 Wb/m²

1.05 × 10^–2 Wb/m²

answer is B.

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Detailed Solution

$B = μ_{0} ni; \frac{B_{1}}{B_{2}} = \frac{n_{1}}{n_{2}} \frac{i_{1}}{i_{2}}$
$\frac{6 .28 \times 10^{- 2}}{B_{2}} = (\frac{200}{100}) (\frac{i}{\frac{i}{3}}) = 1 .05 \times 10^{- 2} wb / m^{2}$

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