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inductance

Series Inductance

Calculate the total inductance of inductors connected in series.

An inductor is a passive component that stores energy in the form of a magnetic field when an electric current passes through it. It is constructed by winding wire around a core made of magnetic or non-magnetic material. The primary characteristic of an inductor is its inductance (L) — a measure of its ability to store energy in the magnetic field.

When current flows through the coil of an inductor, a magnetic field is generated around the coil. The magnetic field stores energy, and when the current through the inductor changes, the magnetic field collapses, releasing the stored energy back into the circuit. This property makes inductors different from capacitors, which store energy in an electric field.

Why Inductors Are Used

Inductors are used in electronic circuits for a wide range of purposes:

  • Filtering and Signal Processing
  • Energy Storage
  • Inductive Load Control
  • Magnetic Coupling & Transformers
  • Chokes and Inductive Reactors
  • Inductive Sensing and Detection
  • Resonant Circuits
  • Energy Conversion
  • Electromagnetic Interference (EMI) Suppression

About This Calculator

This calculator computes the total series inductance by summing the individual inductance values. Simply input the number of inductors and their respective inductance values to get the total inductance.

Understanding Series Inductance

Key Properties

PropertyDescription
CurrentSimilar to resistors in series, the current flowing through every inductor in the circuit is the same
Total InductanceWhen inductors are coupled in series, the circuit's total inductance increases
VoltageThe voltage across each inductor can change based on the overall current and the individual inductance values
ConnectionClear the leads and terminals of each inductor before connecting the free leads to other components
Mutual InductionWhen two inductors are connected in series, their magnetic fields influence one another
ImpedanceSimilar to series resistors, series inductors exhibit uniform current flow and total impedance addition

Real-World Applications

Series inductance is employed in many circuits including resonant circuits, transformers, and filters. Understanding series inductance is essential for circuit design and analysis, enabling engineers to anticipate circuit behavior and maximize efficiency.

Conclusion

Series inductance is a fundamental concept in electrical engineering. Understanding its characteristics is essential for building and debugging complicated circuits.

Formula

Ltotal=L1+L2+L3+L4+L_{total} = L_1 + L_2 + L_3 + L_4 + \cdots

where:

  • LtotalL_{total} = Total Inductance (H)
  • L1,L2,L3,L_1, L_2, L_3, \ldots = Individual Inductance Values (H)

Inputs

How many inductors to include (1–8)

Inductance of inductor 1 in henries

Inductance of inductor 2 in henries (optional)

Inductance of inductor 3 in henries (optional)

Inductance of inductor 4 in henries (optional)

Inductance of inductor 5 in henries (optional)

Inductance of inductor 6 in henries (optional)

Inductance of inductor 7 in henries (optional)

Inductance of inductor 8 in henries (optional)

Results

L1 must be greater than zero
Total InductanceHTotal series inductance in henries