The relative permeability of a ferromagnetic material is 500 what is its magnetic susceptibility

Options

A. 501
B. 499
C. `499xx10^(-7)`
D. `501xx10^(7)`

Explanation

To solve the problem of finding the magnetic susceptibility (χm) of a ferromagnetic material given its relative permeability (μr), we can follow these steps:

### Step 1: Understand the relationship between relative permeability and magnetic susceptibility
The relationship between relative permeability (μr) and magnetic susceptibility (χm) is given by the formula:
\[ \chi_m = \mu_r - 1 \]

### Step 2: Identify the given values
From the problem, we know that the relative permeability (μr) of the ferromagnetic material is 500.

### Step 3: Substitute the value of μr into the formula
Now, we will substitute the value of μr into the formula:
\[ \chi_m = 500 - 1 \]

### Step 4: Perform the calculation
Now, we perform the subtraction:
\[ \chi_m = 499 \]

### Step 5: State the final answer
Thus, the magnetic susceptibility (χm) of the ferromagnetic material is:
\[ \chi_m = 499 \]

### Summary
The magnetic susceptibility of the ferromagnetic material is 499.

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