The `SI` unit of magnetic permebility is

Options

A. `Wbm^(-2)A^(-1)`
B. `Wbm^(-1)A`
C. `Wbm^(-1)A^(-1)`
D. `WbmA^(-1)`

Explanation

To find the SI unit of magnetic permeability, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Magnetic Permeability**:
- Magnetic permeability (μ) is a measure of how much a material responds to a magnetic field. It is defined as the ratio of the magnetic flux density (B) to the magnetic field strength (H).

2. **Write the Formula**:
- The relationship can be expressed as:
\[ \mu = \frac{B}{H} \]

3. **Identify the Units of B and H**:
- The unit of magnetic flux density (B) is the Weber per square meter (Wb/m²).
- The unit of magnetic field strength (H) is the ampere per meter (A/m).

4. **Substitute the Units into the Formula**:
- By substituting the units into the formula for magnetic permeability, we get:
\[ \mu = \frac{B}{H} = \frac{\text{Wb/m}^2}{\text{A/m}} \]

5. **Simplify the Expression**:
- When we simplify the expression, we multiply by the reciprocal of H:
\[ \mu = \frac{\text{Wb}}{\text{m}^2} \cdot \frac{\text{m}}{\text{A}} = \frac{\text{Wb}}{\text{m} \cdot \text{A}} \]

6. **Final Unit of Magnetic Permeability**:
- Thus, the SI unit of magnetic permeability (μ) can be expressed as:
\[ \mu = \text{Wb} \cdot \text{A}^{-1} \cdot \text{m}^{-1} \]
- This can also be written as Weber per meter per ampere (Wb/m·A).

7. **Select the Correct Option**:
- From the options provided, the correct answer is:
\[ \text{Weber meter}^{-1} \text{ampere}^{-1} \]
- This corresponds to option 3.

### Summary:
The SI unit of magnetic permeability is Weber per meter per ampere (Wb/m·A).