The magnetic field B and the magnetic intensi | vedclass

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(A) The relationship between magnetic field $B$,magnetic permeability $\mu$,and magnetic intensity $H$ is given by $B = \mu H$.Since $\mu = \mu_0 \mu_

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$1.3 	imes 10^3$

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(A) The relationship between magnetic field $B$,magnetic permeability $\mu$,and magnetic intensity $H$ is given by $B = \mu H$.Since $\mu = \mu_0 \mu_r$,where $\mu_0$ is the permeability of free space $(4\pi 	imes 10^{-7} \ T \cdot m/A)$ and $\mu_r$ is the relative permeability,we have $B = \mu_0 \mu_r H$.Rearranging for $\mu_r$,we get $\mu_r = \frac{B}{\mu_0 H}$.Substituting the given values: $\mu_r = \frac{1.6}{(4\pi 	imes 10^{-7}) 	imes 1000}$.$\mu_r = \frac{1.6}{4 	imes 3.14159 	imes 10^{-4}} \approx \frac{1.6}{12.566 	imes 10^{-4}} \approx 0.1273 	imes 10^4 \approx 1.273 	imes 10^3$.Rounding to the nearest provided option,we get $\mu_r \approx 1.3 	imes 10^3$.

The magnetic field $B$ and the magnetic intensity $H$ in a material are found to be $1.6 \ T$ and $1000 \ A/m$ respectively. Calculate the relative permeability $\mu_{r}$ of the material.

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