Spiral Coil Inductance Calculator

The concept of Spiral Coil Inductance is an important aspect of electromagnetism in physics. Inductance is the property of an electrical circuit or component that resists changes in current flow. A spiral coil refers to a coil or inductor in the form of a spiral or helix. In this tutorial, we will explore the concept of Spiral Coil Inductance and the associated calculations and formulas based on the coil mean radius, wire coil number of turns, and coil depth.

Spiral Coil Inductance Calculator
Spiral Coil Inductance Calculator Results
Inductance = H

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Example Formula

The formula for calculating the inductance of a spiral coil is given by:

L = (μ0μrπ2N2h) / (4R)
  1. L: Inductance of the spiral coil (in Henrys, H)
  2. μ0: Permeability of free space (4π × 10-7 H/m)
  3. μr: Relative magnetic permeability of the coil material
  4. N: Number of turns in the coil
  5. h: Coil depth or height (in meters, m)
  6. R: Coil mean radius (in meters, m)

Who wrote/refined the formula

The formula for spiral coil inductance is a result of the collective work and contributions of various researchers, scientists, and engineers in the field of electromagnetism and coil design. The specific origin of the formula may be attributed to multiple individuals who have explored and studied the behavior of spiral coils and inductance.

Real Life Application

The concept of spiral coil inductance finds applications in various areas, including electrical engineering, electronics, telecommunications, and power systems. Spiral coils are used in various devices such as inductors, transformers, and electromagnets. They are essential components in circuit design, signal processing, wireless communication systems, and power transmission. Understanding and calculating the inductance of spiral coils is crucial for designing efficient and optimized electrical systems.

Key individuals in the discipline

Several individuals have made significant contributions to the field of electromagnetism and coil design. Notable figures include Joseph Henry, who made important discoveries in electromagnetism and played a crucial role in the development of the telegraph; Michael Faraday, known for his fundamental contributions to the understanding of electromagnetic induction; and Nikola Tesla, a pioneer in the field of electrical engineering and the inventor of numerous electrical devices and systems.

Interesting Facts

  1. Spiral coils with a large number of turns and compact dimensions can achieve high inductance values.
  2. The relative magnetic permeability (μr) of the coil material affects the inductance of the spiral coil.
  3. Spiral coil inductance plays a crucial role in the design and optimization of wireless charging systems.


Spiral coil inductance is a fundamental concept in electromagnetism and plays a significant role in various applications. By understanding the associated calculations and formulas, engineers and researchers can design and optimize coil-based systems for efficient energy transfer, signal processing, and communication. The contributions of notable individuals in the field have paved the way for advancements in electromagnetism and coil design, leading to innovations in electrical engineering and related industries.

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