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Q.

A solenoid has 10³ turns per unit length. On passing a current of 2A, magnetic induction is measured to be 4πWb/m² . Calculate magnetic susceptibility of core

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a

49999

b

4999

c

49

d

499

answer is D.

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Detailed Solution

$\begin{array}{l} \frac{N}{L} = 10^{3}, i = 2 A, B = 4 πwb / m^{2} \\ B = μ_{0} H (χ + 1); B = μ_{0} (\frac{N}{L}) i (1 + χ) \\ 4 π = 4 π \times 10^{- 7} \times 10^{3} \times 2 (1 + χ) \\ 5000 = 1 + χ \Rightarrow χ = 4999 \end{array}$

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