Correct relation between magnetic field B, Magnetic intensity H and intensity of Magnetisation I is

Options

A. `B=mu_(0)(H+I)`
B. `I=mu_(0)(B+H)`
C. `H=mu_(0)(B+I)`
D. `B=2H(1+I)`

Explanation

To find the correct relation between the magnetic field \( B \), magnetic intensity \( H \), and intensity of magnetization \( I \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- The magnetic field \( B \) is the total magnetic field in a material.
- The magnetic intensity \( H \) is the magnetic field strength, which is related to the magnetizing force.
- The intensity of magnetization \( I \) is the magnetic moment per unit volume of the material.

2. **Use the Relation for Magnetic Field**:
- The relationship between \( B \), \( H \), and \( I \) can be expressed using the equation:
\[ B = \mu_0 H + \mu_0 I \]
- Here, \( \mu_0 \) is the permeability of free space.

3. **Simplify the Equation**:
- We can factor out \( \mu_0 \) from the right side:
\[ B = \mu_0 (H + I) \]

4. **Final Relation**:
- Thus, the final relation that connects \( B \), \( H \), and \( I \) is:
\[ B = \mu_0 H + \mu_0 I \]
- This can also be expressed as:
\[ B = \mu_0 (H + I) \]

### Conclusion:
The correct relation between the magnetic field \( B \), magnetic intensity \( H \), and intensity of magnetization \( I \) is:
\[ B = \mu_0 (H + I) \]