Three Phase Electric Power Calculator

Three Phase Electric Power is a common method of alternating-current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electric power grids worldwide to transfer power. It is also used to power large motors and other heavy loads. This tutorial will cover the crucial formulas associated with Three Phase Electric Power, real-life applications, the figures behind its development, and its significant impacts.

3 Phase Power in a Circuit Calculator
Three Phase Electric Power Calculator Results
Three Phase Electric Power (P) = W

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Example Formula

The main formula for calculating the total power in a three-phase system, given the voltage (V) and current (I), is as follows:

P = √3 × V × I × cosφ
  1. P: This denotes the total power in the system, measured in watts (W).
  2. √3: This is the square root of 3, arising from the geometry of the phasor representation of a three-phase system.
  3. V: This denotes the line-to-line voltage of the system, measured in volts (V).
  4. I: This represents the line current of the system, measured in amperes (A, named after the French physicist André-Marie Ampère).
  5. cosφ: This is the power factor, which signifies the phase difference between the voltage and current.

Who wrote/refined the formula

The three-phase system was first developed by Nikola Tesla in the late 19th century. This system and its associated formulas have been pivotal not only in the field of Physics but also in Electrical Engineering, Power Systems Engineering, and many industrial applications.

Real Life Application

Three-phase electric power is extensively used in power grids, electric motors in industries, and high-power applications like HVAC systems. A significant application is in the power transmission over long distances, where it improves the efficiency and reduces the power loss compared to single-phase systems.

Key individuals in the discipline

Nikola Tesla, a pioneering electrical engineer, and physicist is a key figure in the development of three-phase electric power. His patent in 1887, "Method of converting and distributing electric current," introduced the concept of three-phase electric power, forever changing the way power is transmitted and used.

Interesting Facts

  1. Three-phase power systems are more efficient in transmitting electrical power and running motors, making them the preferred choice in industries and power grids worldwide.
  2. The principles of three-phase power have revolutionized the electrical power industry, enabling the large-scale distribution and utilization of electrical power, contributing significantly to industrialization and modernization.
  3. Nikola Tesla's contributions to the development of three-phase power are commemorated by the international unit of magnetic flux density or magnetic induction, the tesla (T).


Three-phase electric power is an integral part of modern society, powering industries, infrastructure, and homes around the world. The profound influence of this technology, derived from the pioneering work of Nikola Tesla, demonstrates the transformative potential of Physics and Electrical Engineering.

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