Step 1: Understanding the Concept:
Magnetic susceptibility ($\chi_m$) is a measure of how much a material will become magnetized in an applied magnetic field.
Relative permeability ($\mu_r$) is the ratio of the permeability of a specific medium to the permeability of free space.
These two dimensionless quantities are directly related to each other. Step 2: Key Formula or Approach:
The fundamental relationship between relative permeability ($\mu_r$) and magnetic susceptibility ($\chi_m$) is given by:
\[ \mu_r = 1 + \chi_m \] Step 3: Detailed Explanation:
Given value:
Magnetic susceptibility, $\chi_m = 5499$
Substitute this value into the relationship formula:
\[ \mu_r = 1 + 5499 \]
\[ \mu_r = 5500 \] Step 4: Final Answer:
The relative permeability of iron is 5500.