To determine the total magnetic flux emerging from a magnetic pole face, we will use the relationship between magnetic flux (Φ), magnetic flux density (B), and the area (A) of the pole face.

Understanding Magnetic Flux
Magnetic flux (Φ) is defined as the product of the magnetic flux density (B) and the area (A) through which the magnetic field lines pass. The formula is given by:
Φ = B × A
Where:
- Φ is the magnetic flux in Weber (Wb)
- B is the magnetic flux density in Tesla (T)
- A is the area in square meters (m²)

Calculating the Area
The area (A) of the pole face can be calculated using its dimensions:
- Dimensions: 5 cm by 6 cm
- Convert these dimensions to meters:
5 cm = 0.05 m
6 cm = 0.06 m
- Calculate the area (A):
A = 0.05 m × 0.06 m = 0.003 m²

Finding the Total Magnetic Flux
Now, we can use the given magnetic flux density (B = 0.9 T) to find the total flux (Φ):
- Φ = B × A
- Φ = 0.9 T × 0.003 m²
- Φ = 0.0027 Wb

Conclusion
The total magnetic flux emerging from the magnetic pole face is:
- **Φ = 0.0027 Weber (Wb)**
This calculation shows how magnetic properties can be quantitatively assessed in practical applications, crucial for various fields including electromagnetism and electrical engineering.