Energy Stored in an Inductor
When current flows through an inductor, it creates a magnetic field. This magnetic field stores energy. This energy is released when the current is switched off, often causing a spark or a voltage surge.
An inductor stores energy in its magnetic field.
The energy stored is proportional to the square of the current and the inductance.
The energy (U) stored in an inductor with inductance (L) carrying a current (I) is given by the formula: U = ½ LI². This energy is stored in the magnetic field generated by the inductor. To establish this current and magnetic field, work must be done against the induced electromotive force (EMF) that opposes the change in current. This work done is stored as potential energy in the magnetic field.
U = ½ LI², where U is energy, L is inductance, and I is current.
Imagine charging a spring. As you compress it, you do work, and this work is stored as potential energy in the spring. Similarly, when current flows through an inductor, work is done against the back EMF to build up the magnetic field. This work is stored as magnetic potential energy within the inductor. The more you compress the spring (higher current), the more energy it stores. The stiffer the spring (higher inductance), the more work is needed to compress it to the same extent.
Text-based content
Library pages focus on text content
| Concept | Energy Storage Mechanism | Formula |
|---|---|---|
| Inductor | Magnetic Field | U = ½ LI² |
| Capacitor | Electric Field | U = ½ CV² |
The energy stored in an inductor is directly proportional to the square of the current. Doubling the current quadruples the stored energy!
Understanding the energy stored in an inductor is crucial for analyzing circuits with inductors, especially in applications like switching power supplies, filters, and resonant circuits. It helps predict behavior during transient states and energy transfer.
The stored energy is released, often as a voltage spike or by maintaining the current flow through a different path.
Learning Resources
Provides a clear explanation of the derivation and concept of energy stored in an inductor, including relevant formulas and examples.
A video tutorial explaining the concept of energy stored in an inductor, its formula, and its physical interpretation.
A concise overview of inductors, focusing on how they store energy in a magnetic field and the associated formula.
Explains the energy stored in an inductor with a focus on its application and importance in electrical circuits.
Details the energy storage capabilities of inductors and how this energy is released, with practical circuit examples.
A YouTube video specifically tailored for JEE preparation, covering the energy stored in an inductor with problem-solving approaches.
A straightforward explanation of the energy stored in an inductor, suitable for understanding fundamental concepts.
A forum discussion providing insights and answers to common questions regarding energy storage in inductors.
Offers a concise explanation and formula for energy stored in an inductor, often with solved examples relevant to competitive exams.
The Wikipedia page on inductors includes a section detailing energy storage in the magnetic field, providing a broader context.