SI units of magnetic permeability are …………………….., ……………………, …………………….. .

Answer

To find the SI units of magnetic permeability (μ), we can start from the relationship involving the magnetic field (B), magnetic permeability (μ), magnetic dipole moment (m), and distance (r).

### Step-by-Step Solution:

1. **Understanding the Formula**:
The formula relating magnetic field (B) to magnetic permeability (μ) and magnetic dipole moment (m) is given by:
\[ B = \frac{\mu_0}{4\pi} \cdot \frac{m}{r^2} \]
Here, μ₀ is the magnetic permeability we are trying to find.

2. **Identifying Units**:
- The unit of the magnetic field (B) is Tesla (T).
- The unit of magnetic dipole moment (m) is Ampere-meter (A·m).
- The unit of distance (r) is meter (m).

3. **Rearranging the Formula**:
To isolate μ₀, we can rearrange the formula:
\[ \mu_0 = \frac{B \cdot 4\pi \cdot r^2}{m} \]

4. **Substituting Units**:
Now, we substitute the units into the rearranged formula:
- The unit of B is Tesla (T).
- The unit of m is Ampere-meter (A·m).
- The unit of r² is meter squared (m²).

Thus, substituting these units gives:
\[ \text{Units of } \mu_0 = \frac{T \cdot m^2}{A \cdot m} \]

5. **Simplifying the Units**:
Simplifying the above expression:
\[ \mu_0 = \frac{T \cdot m^2}{A \cdot m} = \frac{T \cdot m}{A} \]

6. **Final Answer**:
Therefore, the SI units of magnetic permeability (μ₀) are:
\[ \text{Tesla meter per Ampere} \quad (T \cdot m/A) \]

### Summary of the SI Units:
The SI units of magnetic permeability are:
1. Tesla (T)
2. Meter (m)
3. Ampere (A)