# Magnetic Circuit

The closed path followed by magnetic lines of forces is called **magnetic circuit**. In the **magnetic circuit**, magnetic flux or magnetic line of forces starts from a point and ends at the same point after completing its path. Flux is generated by magnets; it can be permanent magnet or electromagnets.

A **magnetic circuit** is made up of magnetic materials having high permeability such as iron, soft steel, etc. **Magnetic circuits** are used in various devices like electric motor, transformers, relays, generators galvanometer, etc.

Consider a solenoid having N turns wound on an iron core. The magnetic flux of ø Weber sets up in the core when current of I ampere is passed through a solenoid.

Let, l = mean length of the magnetic circuit

A = cross sectional area of the core

µr = relative permeability of the core

Now the flux density in core material

Magnetizing force in the core

According to work law, the work done in moving a unit pole once round the magnetic circuit is equal to the ampere turns enclosed by the magnetic circuit.

The above equation explains the following points

- Directly proportional to number of turns (N) and current (I). It shows that the flux increase if the number of turns or current increases and decreases when either of the two quantity decreases. NI is the magnetomotive force (mmf).
- Inversely proportional to
*l*/a^{µ}_{0}^{µ}_{r}_{, }_{where (}*l*/a^{µ}_{0}^{µ}_{r) }is known as reluctance. The lower will be the reluctance the higher will be the flux and vice- versa.