Inductor Energy Storage Calculator
Calculate magnetic energy stored in inductors and analyze electromagnetic field energy storage
Calculate Inductor Energy Storage
Self-inductance of the coil or inductor
Current flowing through the inductor
Calculation Results
Primary Results
Additional Parameters
Energy Storage Formula: E = ½ × L × I²
Physics Principle: Magnetic field energy in inductors is proportional to inductance and current squared
Applications: Energy storage systems, magnetic field generation, AC circuit analysis
Energy Storage Analysis
Example Calculation
Solenoid Energy Storage
Application: Energy storage in an electromagnetic coil
Inductance: L = 20 μH
Current: I = 300 mA
Magnetic field: Created by current flow through coil
Calculation
E = ½ × L × I²
E = ½ × (20 × 10⁻⁶ H) × (300 × 10⁻³ A)²
E = ½ × (2 × 10⁻⁵ H) × (9 × 10⁻²)²
E = ½ × (2 × 10⁻⁵) × (8.1 × 10⁻³)
E = 9.0 × 10⁻⁷ J = 0.9 μJ
Energy Storage Principles
Magnetic Energy
Energy stored in magnetic field
E = ½LI²
Inductance
Ability to store magnetic energy
Measured in Henries (H)
Current
Charge flow creating magnetic field
Energy ∝ I² (quadratic relationship)
Applications
Energy storage systems and superconducting magnets
AC circuit analysis and impedance calculations
Transformers and electromagnetic induction systems
Radio frequency circuits and oscillators
Industrial motor drives and power electronics
Understanding Inductor Energy Storage
Magnetic Energy Storage
When current flows through an inductor (coil), it creates a magnetic field around the conductor. This magnetic field stores energy that can be released when the current changes. The energy storage is a fundamental property of inductance and is crucial in many electrical applications.
Physical Principles
- •Energy is stored in the magnetic field, not the conductor itself
- •Energy is proportional to current squared (I²)
- •Inductance determines energy storage capacity
- •Energy release occurs when magnetic field changes
Mathematical Relationships
Energy Formula
E = ½LI²
Energy equals half inductance times current squared
Power Relationship
P = L × I × (dI/dt)
Power depends on rate of current change
Magnetic Field Energy
U = B²/(2μ₀) × Volume
Energy density in magnetic field
Key Characteristics
Practical Applications
Energy Storage Systems
Superconducting magnetic energy storage (SMES) systems use large inductors to store electrical energy for power grid stabilization and peak load management.
High-current, high-inductance coils
AC Circuit Analysis
Understanding inductor energy storage is crucial for analyzing AC circuits, power factor correction, and designing filters and transformers.
Reactive power and impedance
Switching Circuits
In switching power supplies and motor drives, inductor energy storage affects current ripple, efficiency, and electromagnetic interference (EMI).
Buck/boost converters, motor control