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Inductors

Inductors

An inductor is a passive component built to store energy within its magnetic field. It can be fabricated by coiling a wire around a magnetic core. When current is permitted to flow through this inductor, it is observed that the voltage across the inductor is directly proportional to the time rate of change of the current. Mathematically,

Inductors

Inductors

An inductor, also known as a choke, is a circuit component created to have a specific inductance. Inductors are among the crucial circuit components used in modern electronics, along with resistors and capacitors. They serve as a barrier against changes in a circuit's current. An inductor tends to suppress current changes in an alternating-current circuit that are faster than desired. In a direct-current circuit, an inductor aids in preserving a constant current despite changes in the...

Energy Stored in Inductors

Energy Stored in Inductors

An inductor is ingeniously crafted to accumulate energy within its magnetic field. This field is a direct result of the current that meanders through its coiled structure. When this current maintains a steady state, there is no detectable voltage across the inductor, prompting it to mimic the behavior of a short circuit when faced with direct current.
In terms of gauging the energy stored within an inductor, it is equivalent to the integral of the power delivered at every individual moment, all...

Inductor in an AC Circuit

Inductor in an AC Circuit

The basic components of an inductor are coils or loops of wire that are either wound around a hollow tube former or a ferromagnetic material (iron-cored) to increase their inductive value or inductance. When a voltage is applied across an inductor's terminals, a magnetic field is created, where the inductor stores its energy. The inductor's own self-induced or back emf value controls the growth of the current flowing through it. This back emf voltage is proportional to the rate of...

Calculation of Self-inductance

Calculation of Self-inductance

The self-inductance of a circuit, often simply called the inductance, is a purely geometric factor that depends only on the circuit component's structure. More specifically, it depends on the shape and size of the component that lets the flux pass through it, thus inducing an electric field that opposes any current passing through it.
Since the effect of the induced electric field and the back EMF generated depends on the rate of change of current and the self-inductance, the inductance...

Energy In A Magnetic Field

Energy In A Magnetic Field

If a magnetic field is sustained, there must be a current in a closed circuit or loop, implying some energy has been spent in creating the field. If this energy is not dissipated via the circuit's resistance, it is stored in the field.
Take an ideal inductor with zero resistance. Although it's practically impossible, assume that the coil's resistance is so small that it is practically negligible. The loss of the field's energy to dissipate thermal energy (or heat) is thus...

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Related Experiment Video

Updated: Dec 8, 2025

MRM Microcoil Performance Calibration and Usage Demonstrated on Medicago truncatula Roots at 22 T

MRM Microcoil Performance Calibration and Usage Demonstrated on Medicago truncatula Roots at 22 T

Published on: January 16, 2021

Inductor coil of the highest possible .

A Rikhter¹, M M Fogler¹

¹Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, CA 92093 USA.

Scientific Reports

|September 22, 2020

Summary

Researchers optimized inductor geometry for maximum quality factor (Q-factor). Optimal coil shapes change with frequency, evolving from circular to sickle-like for improved performance in high-frequency applications.

Area of Science:

Electrical Engineering
Electromagnetism
Physics

Background:

Inductor design is critical for electronic circuit performance.
Maximizing the quality factor (Q-factor) is a key objective in inductor optimization.
Understanding the impact of geometry on inductor performance at various frequencies is essential.

Purpose of the Study:

To determine the optimal geometry of a long thin wire inductor for achieving the highest possible Q-factor.
To investigate how inductor geometry and Q-factor change with increasing frequency.

Main Methods:

Numerical optimization techniques were employed to find the optimal inductor geometry.
Simulations were conducted across a range of frequencies to analyze performance.

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Main Results:

The Q-factor exhibits a linear increase with frequency at lower ranges, transitioning to a square-root dependence at higher frequencies.
The optimal coil's cross-sectional shape evolves from near-circular to a distinct sickle shape as frequency increases.

Conclusions:

The study reveals a frequency-dependent evolution of optimal inductor geometry for maximizing Q-factor.
Sickle-shaped cross-sections are optimal for high-frequency inductors, offering superior performance.