Prove the formula for inductor energy storage

How do you calculate energy stored in an inductor?

The energy stored in an inductor can be expressed as: where: W = Energy stored in the inductor (joules, J) L = Inductance of the inductor (henries, H) I = Current through the inductor (amperes, A) This formula shows that the energy stored in an inductor is directly proportional to its inductance and the square of the current flowing through it.

How is energy stored in an inductor proportional to its inductance?

This formula shows that the energy stored in an inductor is directly proportional to its inductance and the square of the current flowing through it. If the current through the inductor is constant, the energy stored remains constant as well.

What factors affect the energy storage capacity of an inductor?

The energy storage capacity of an inductor is influenced by several factors. Primarily, the inductance is directly proportional to the energy stored; a higher inductance means a greater capacity for energy storage. The current is equally significant, with the energy stored increasing with the square of the current.

How do inductors store energy?

In conclusion, inductors store energy in their magnetic fields, with the amount of energy dependent on the inductance and the square of the current flowing through them. The formula \ ( W = \frac {1} {2} L I^ {2} \) encapsulates this dependency, highlighting the substantial influence of current on energy storage.

When does the energy stored in an inductor remain constant?

When the current remains constant, the energy stored in the magnetic field is also constant. The voltage across the inductance has dropped to zero, so the power p = vi is also zero.

How is inductance measured?

Inductance is measured in henries (H) and depends on factors such as the number of turns in the coil, the coil’s geometry, the spacing between the turns, and the core material (if any). The energy stored in an inductor is due to the magnetic field created by the current flowing through it.