Impedance of Series AC Circuit Calculator

Impedance, a fundamental concept in Physics, specifically in the field of Electrical Engineering and Electronics, describes the opposition that a circuit presents to a current when a voltage is applied. It is a crucial parameter in alternating current (AC) circuits. The impedance of a series AC circuit can be calculated based on its resistance and inductive reactance. This tutorial will delve into this concept and provide a detailed explanation of the associated calculations and formulas.

Impedance of Series AC Circuit Calculator
Impedance of Series AC Circuit Calculator Results
Impedance (Z) = ohms

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Example Formula

The formula for the impedance (Z) of a series AC circuit that involves resistance (R) and inductive reactance (XL) was not specifically attributed to a single individual but was developed over time with the evolving understanding of electrical circuits.

Z = √(R2 + XL2)


  1. Z: is the Impedance, measured in ohms (Ω).
  2. R: is the Resistance, also measured in ohms (Ω).
  3. XL: is the Inductive Reactance, measured in ohms (Ω).

Who wrote/refined the formula

The concept of impedance was first introduced by Oliver Heaviside in 1886. While the impedance formula was not developed by a single individual, the contributions of James Clerk Maxwell, Georg Simon Ohm, and Charles Francis Dalziel are noteworthy for their work on related concepts and principles in the field of electrical circuits and electrical resistance.

The subject is not only relevant to the field of Physics, but also to other areas like Electrical Engineering, Telecommunications, and Electronics, where the principles of AC circuits and impedance are used daily.

Real Life Application

A real-life example of impedance in series AC circuits can be found in audio systems. In a speaker system, both resistance (due to the speaker wire) and inductive reactance (due to the speaker coil) contribute to the overall impedance. Understanding and correctly matching the impedance of the speakers to the amplifier is crucial for optimal performance and to avoid potential damage to the system.

Key individuals in the discipline

Several individuals have made significant contributions to the understanding of electrical circuits and impedance. One of them is Georg Simon Ohm, who formulated Ohm's law in 1827. James Clerk Maxwell is also noteworthy for his work in developing Maxwell's equations, which are fundamental to the field of electrodynamics. Charles Francis Dalziel contributed to the understanding of electrical shock hazards and ground-fault circuit interrupters, which are crucial in electrical safety.

Interesting Facts

  1. The impedance concept is used in biomedical engineering, particularly in bioimpedance, to measure various physiological parameters such as body composition and fluid levels.
  2. By utilizing the concept of impedance, AC power transmission has become more efficient, revolutionizing electricity distribution and significantly contributing to the advancement of modern society.
  3. Impedance matching, a concept derived from the principle of impedance, is crucial in many areas of electronics and telecommunications to ensure maximum power transfer and signal integrity.


In conclusion, the concept of impedance in series AC circuits plays a significant role in our daily lives, whether directly or indirectly. The understanding and application of the associated calculations and formulas are pivotal in various fields, including Physics, Electrical Engineering, and Electronics. It's a testament to the interconnected nature of scientific disciplines and their impact on advancing technology and society.

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