Relative permeability of iron is 5500, then its magnetic susceptibility will be

Options

A. `5500xx10^(7)`
B. `5500xx10^(-7)`
C. `5501`
D. `5499`

Explanation

To find the magnetic susceptibility (χm) of iron given its relative permeability (μr), we can use the relationship between magnetic susceptibility and relative permeability:

1. **Understanding the Relationship**:
The relationship between magnetic susceptibility (χm) and relative permeability (μr) is given by the formula:
\[ \chi_m = \mu_r - 1 \]

2. **Substituting the Given Value**:
We are given that the relative permeability of iron (μr) is 5500. We can substitute this value into the formula:
\[ \chi_m = 5500 - 1 \]

3. **Calculating the Result**:
Now, we perform the subtraction:
\[ \chi_m = 5499 \]

4. **Final Answer**:
Therefore, the magnetic susceptibility of iron is:
\[ \chi_m = 5499 \]