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Question

(D) The relation between magnetic flux density $B$,relative permeability $\mu_r$,permeability of free space $\mu_0$,and magnetizing field $H$ is given

Vedclass · Accepted Answer

$10000$

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(D) The relation between magnetic flux density $B$,relative permeability $\mu_r$,permeability of free space $\mu_0$,and magnetizing field $H$ is given by $B = \mu_r \mu_0 H$.Given:$H = 2 	imes 10^3 \, A/m$$B = 8 \pi \, T$$\mu_0 = 4 \pi 	imes 10^{-7} \, T \cdot m/A$Rearranging the formula for $\mu_r$:$\mu_r = \frac{B}{\mu_0 H}$Substituting the values:$\mu_r = \frac{8 \pi}{(4 \pi 	imes 10^{-7}) 	imes (2 	imes 10^3)}$$\mu_r = \frac{8 \pi}{8 \pi 	imes 10^{-4}}$$\mu_r = \frac{1}{10^{-4}} = 10^4 = 10000$

$A$ magnetizing field of $2 \times 10^3 \, A/m$ produces a magnetic flux density of $8 \pi \, T$ in an iron rod. The relative permeability of the rod will be -

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