Magnetic Effects Of Current Question 17

Question 17 - 31 January - Shift 1

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 windings is $4 \pi \times 10^{-6} Wb$. The relative permeability of the rod is

(Given : Permeability of vacuum

$.\mu_0=4 \pi \times 10^{-7} NA^{-2})$

(1) 12.5

(2) $\frac{32}{5}$

(3) 125

(4) $\frac{5}{16}$

Show Answer

Answer: (3)

Solution:

Formula: Magnetic Flux

$\phi=\mu_r \mu_o \frac{N}{\ell}$ I x A

$\mu_r=125$

Option 3.