To calculate the magnetic flux density in a transformer core, you can use the following formula:
B = μ * (N * I) / A
where:
B is the magnetic flux density (measured in Tesla or T).
μ is the permeability of the core material (measured in Henrys per meter, H/m). It represents the material's ability to allow magnetic lines of force to pass through it.
N is the number of turns of wire in the coil (primary or secondary, depending on the calculation you want to perform).
I is the current flowing through the coil (measured in Amperes, A).
A is the cross-sectional area of the core perpendicular to the direction of magnetic flux (measured in square meters, m²).
Keep in mind that the magnetic flux density varies within the transformer core due to the changing geometry and material properties, but this formula provides a reasonable approximation.
Additionally, if you know the magnetic field strength (H) in the core, which represents the magnetizing force, you can use another equation:
B = μ * H
Here, H is given in Amperes per meter (A/m).
Please note that transformer design and analysis can be quite complex, especially in practical scenarios where factors like core saturation and non-linear behaviors need to be considered. For accurate and detailed transformer analysis, specialized software or more advanced models might be necessary.