Magnetic flux refers to the total magnetic field passing through a given area. It is represented by the symbol Φ (phi) and measured in units of webers (Wb). The formula to calculate magnetic flux is Φ = B * A, where B represents the magnetic field strength and A denotes the cross-sectional area through which the magnetic field passes.

Flux linkage, on the other hand, refers to the product of the magnetic flux and the number of turns in a coil. It is represented by the symbol λ (lambda) and measures the extent to which a magnetic field links with a coil. The formula for flux linkage is λ = N * Φ, where N represents the number of turns in the coil.

An example to understand the concept of magnetic flux and flux linkage is a simple solenoid. Consider a solenoid with a magnetic field strength of 0.8 T and a cross-sectional area of 0.02 m^2. The magnetic flux passing through the solenoid can be calculated using the formula Φ = 0.8 * 0.02 = 0.016 Wb. If the solenoid has 200 turns, the flux linkage can be calculated as λ = 200 * 0.016 = 3.2 Wb.

It is important to note that magnetic flux and flux linkage are crucial in understanding the principles of magnetic induction. They provide a measure of the amount of magnetic field passing through a given area and the extent to which it interacts with a coil, respectively. These concepts are significant in various applications such as transformers, generators, and inductors, where magnetic induction plays a vital role.