Power in Single-Phase AC Circuits using Voltage Calculator

✖Voltage is used to determine the value of the potential difference between terminals where alternating current flows.ⓘ Voltage [V]			+10% -10%
✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).ⓘ Resistance [R]			+10% -10%

✖The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.ⓘ Power in Single-Phase AC Circuits using Voltage [P]

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Formula

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Power in Single-Phase AC Circuits using Voltage

Formula

`"P" = ("V"^2*cos("Φ"))/"R"`

Example

`"243.9305W"=(("130V")^2*cos("30°"))/"60Ω"`

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Power in Single-Phase AC Circuits using Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Real Power = (Voltage^2*cos(Phase Difference))/Resistance
P = (V^2*cos(Φ))/R
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Real Power - (Measured in Watt) - The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Voltage - (Measured in Volt) - Voltage is used to determine the value of the potential difference between terminals where alternating current flows.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

STEP 1: Convert Input(s) to Base Unit

Voltage: 130 Volt --> 130 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistance: 60 Ohm --> 60 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (V^2*cos(Φ))/R --> (130^2*cos(0.5235987755982))/60

Evaluating ... ...

P = 243.930488732617

STEP 3: Convert Result to Output's Unit

243.930488732617 Watt --> No Conversion Required

FINAL ANSWER

243.930488732617 ≈ 243.9305 Watt <-- Real Power

(Calculation completed in 00.014 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 12 Power Calculators

Reactive Power using Line-to-Neutral Current

Go Reactive Power = 3*Line to Neutral Current*Line to Neutral Voltage*sin(Phase Difference)

Reactive Power using RMS Voltage and Current

Go Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference)

Real Power using Line-to-Neutral Voltage

Go Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)

Real Power using RMS Voltage and Current

Go Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)

Power in Three-Phase AC Circuits using Phase Current

Go Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)

Power in Single-Phase AC Circuits using Voltage

Go Real Power = (Voltage^2*cos(Phase Difference))/Resistance

Power in Single-Phase AC Circuits using Current

Go Real Power = Current^2*Resistance*cos(Phase Difference)

Reactive Power

Go Reactive Power = Current*Voltage*sin(Phase Difference)

Power in Single-Phase AC Circuits

Go Real Power = Voltage*Current*cos(Phase Difference)

Real Power in AC Circuit

Go Real Power = Voltage*Current*cos(Phase Difference)

Complex Power

Go Complex Power = sqrt(Real Power^2+Reactive Power^2)

Complex Power given Power Factor

Go Complex Power = Real Power/cos(Phase Difference)

Power in Single-Phase AC Circuits using Voltage Formula

Real Power = (Voltage^2*cos(Phase Difference))/Resistance
P = (V^2*cos(Φ))/R

What is the difference between single phase and three phase power supply?

In a single-phase supply, the power flows through one conductor whereas the three-phase supply consists of three conductors for power supply. The single-phase supply requires two wires (one phase and one neutral) for completing the circuit. The three-phase requires three-phase wires and one neutral wire for completing the circuit.

How to Calculate Power in Single-Phase AC Circuits using Voltage?

Power in Single-Phase AC Circuits using Voltage calculator uses Real Power = (Voltage^2*cos(Phase Difference))/Resistance to calculate the Real Power, Power in Single-Phase AC Circuits using Voltage is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison. Real Power is denoted by P symbol.

How to calculate Power in Single-Phase AC Circuits using Voltage using this online calculator? To use this online calculator for Power in Single-Phase AC Circuits using Voltage, enter Voltage (V), Phase Difference (Φ) & Resistance (R) and hit the calculate button. Here is how the Power in Single-Phase AC Circuits using Voltage calculation can be explained with given input values -> 243.9305 = (130^2*cos(0.5235987755982))/60.

FAQ

What is Power in Single-Phase AC Circuits using Voltage?

Power in Single-Phase AC Circuits using Voltage is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison and is represented as P = (V^2*cos(Φ))/R or Real Power = (Voltage^2*cos(Phase Difference))/Resistance. Voltage is used to determine the value of the potential difference between terminals where alternating current flows, Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit & Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

How to calculate Power in Single-Phase AC Circuits using Voltage?

Power in Single-Phase AC Circuits using Voltage is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison is calculated using Real Power = (Voltage^2*cos(Phase Difference))/Resistance. To calculate Power in Single-Phase AC Circuits using Voltage, you need Voltage (V), Phase Difference (Φ) & Resistance (R). With our tool, you need to enter the respective value for Voltage, Phase Difference & Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Real Power?

In this formula, Real Power uses Voltage, Phase Difference & Resistance. We can use 6 other way(s) to calculate the same, which is/are as follows -

Real Power = Voltage*Current*cos(Phase Difference)
Real Power = Current^2*Resistance*cos(Phase Difference)
Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
Real Power = Voltage*Current*cos(Phase Difference)
Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)
Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)

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