For ferromagnetic material, the relative permeability (mu_(r)), versus magnetic intensity (H) has the following shape

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Explanation

To analyze the relationship between relative permeability (\( \mu_r \)) and magnetic intensity (\( H \)) for ferromagnetic materials, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Relative Permeability (\( \mu_r \))**:
- Relative permeability is a dimensionless measure of how much a material can become magnetized in an applied magnetic field compared to vacuum.
- It is defined as \( \mu_r = \frac{\mu}{\mu_0} \), where \( \mu \) is the permeability of the material and \( \mu_0 \) is the permeability of free space.

2. **Behavior of Ferromagnetic Materials**:
- Ferromagnetic materials exhibit a significant increase in permeability when exposed to a magnetic field.
- Initially, as the magnetic field intensity \( H \) increases, the relative permeability \( \mu_r \) also increases due to the alignment of magnetic domains.

3. **Saturation Point**:
- As \( H \) continues to increase, the material reaches a saturation point where almost all magnetic domains are aligned.
- Beyond this point, further increases in \( H \) do not significantly increase \( \mu_r \). Instead, \( \mu_r \) starts to decrease or becomes constant.

4. **Graphical Representation**:
- The graph of \( \mu_r \) versus \( H \) typically shows an initial steep increase, reaching a peak (saturation), and then either plateauing or decreasing.
- The shape of the graph can be described as an initial rise, followed by a peak, and then a decline or stabilization.

5. **Conclusion**:
- The relationship between \( \mu_r \) and \( H \) for ferromagnetic materials is characterized by an initial increase, reaching a saturation point, and then a decrease or plateau in \( \mu_r \) as \( H \) continues to increase.