Physics & Mechanics

Inductance Calculator

Calculate self-inductance based on magnetic flux and electric current. Essential for inductor and circuit design.

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A
Inductance (L)
0.25

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The Inertia of Electricity

Inductance ($L$) is the property of an electrical conductor by which a change in current flowing through it induces an electromotive force (EMF) that opposes the change. In simpler terms, an inductor resists changes in current.

If capacitance is like a spring that stores energy in an electric field, inductance is like a flywheel that stores energy in a magnetic field. The unit of inductance is the Henry (H), named after American scientist Joseph Henry.

How Inductors Work

When current increases in a coil, the magnetic field expands. According to Faraday's Law, this expanding field induces a "back EMF" that tries to push the current back down. Conversely, if current drops, the field collapses and "kicks" the current to keep it flowing. This makes inductors perfect for:

  • Filtering: Blocking high-frequency noise while letting DC pass.
  • Power Supplies: Regulating voltage in switching power converters.
  • Ignition Systems: Creating high-voltage sparks in car engines.

The Formula

L=NΦI\begin{aligned} L = N \cdot \frac{\Phi}{I} \end{aligned}

Where:
L=
Inductance (Henries, H)
N=
Number of turns
Φ\Phi=
Magnetic Flux (Webers)
I=
Current (Amperes)

Example Calculation

A coil with $50$ turns has a magnetic flux of $0.01 , \text{Webers}$ when $2 , \text{Amps}$ of current is flowing through it.

  1. Multiply Flux by Turns: $0.01 \times 50 = 0.5$.
  2. Divide by Current: $0.5 / 2 = 0.25 , \text{H}$.

The inductance is $250 , \text{mH}$.

Frequently Asked Questions

Motors have massive inductors. When you pull the plug, the current suddenly stops, causing the magnetic field to collapse instantly. This collapse creates a massive 'inductive kick' or voltage spike that can arc across the air as a spark.

Devices with coils (like motors, transformers, and relays) are inductive loads. They draw current differently than resistive loads (like heaters) and can cause timing shifts between voltage and current in AC circuits.

A choke is just an inductor designed to 'choke off' high-frequency noise in a circuit while allowing low-frequency or DC signals to pass through safely.