A rod with circular cross-section area and length 40 cm is wound uniformly with 400 turns of an insulated wire. [2023]

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Solution

Q.
A rod with circular cross-section area $2 {cm}^{2}$ and length 40 cm is wound uniformly with 400 turns of an insulated wire. If a current of 0.4 A flows in the wire windings, the total magnetic flux produced inside the windings is $4 π \times 10^{- 6} Wb$ . The relative permeability of the rod is (Given: Permeability of vacuum $μ_{0} = 4 π \times 10^{- 7} {NA}^{- 2}$ ). [2023]

1 $12.5$

2 $\frac{32}{5}$

3 $125$

4 $\frac{5}{16}$

Ans.
(3)

$ϕ = μ_{r} μ_{0} \frac{N}{l} I \times A \Rightarrow μ_{r} = 125$

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