An inductor is a passive component that stores energy in a magnetic field when current flows through it.
It is usually made from a coil of wire.
Its main behavior is that it resists changes in current.
The more quickly you try to change the current, the more voltage the inductor generates against that change.
A simple way to think about it:
A capacitor resists changes in voltage
An inductor resists changes in current
Key equation:
V=LdtdI
Where:
V = voltage across the inductor
L = inductance
dI/dt = how fast current is changing
Common uses:
Power converters
Filters
Energy storage in switching regulators
EMI suppression
Transformers and RF circuits
Since you're looking at an inductor part project, this specific part is a 3.3 µH power inductor, used mainly in switching power supplies like buck or boost converters.