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Real Power using RMS Voltage and Current Formula

GoPower in Single-Phase AC Circuits Formula

GoPower in Single-Phase AC Circuits using Current Formula

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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. Check FAQs

P = I rms \cdot V rms \cdot \cos (Φ)

P - Real Power?I_rms - Root Mean Square Current?V_rms - Root Mean Square Voltage?Φ - Phase Difference?

Real Power using RMS Voltage and Current Example

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Here is how the Real Power using RMS Voltage and Current equation looks like with Values.

Here is how the Real Power using RMS Voltage and Current equation looks like with Units.

Here is how the Real Power using RMS Voltage and Current equation looks like.

234.0434 = 4.7 \cdot 57.5 \cdot \cos (30)

234.0434W = 4.7A \cdot 57.5V \cdot \cos (30°)

234.0434 = 4.7 \cdot 57.5 \cdot \cos (30)

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Real Power using RMS Voltage and Current Solution

Follow our step by step solution on how to calculate Real Power using RMS Voltage and Current?

FIRST Step Consider the formula

P = I rms \cdot V rms \cdot \cos (Φ)

Next Step Substitute values of Variables

∴

P = 4.7A \cdot 57.5V \cdot \cos (30°)

Next Step Convert Units

∴

P = 4.7A \cdot 57.5V \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P = 4.7 \cdot 57.5 \cdot \cos (0.5236)

Next Step Evaluate

∴

P = 234.043365372745W

LAST Step Rounding Answer

∴

P = 234.0434W

Real Power using RMS Voltage and Current Formula Elements

Variables

Functions

Real Power

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.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Real Power

Root Mean Square Current

Root Mean Square Current is defined as the root mean square of a given current.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Root Mean Square Current

Root Mean Square Voltage

Root Mean Square Voltage is the square root of the time average of the voltage squared.

Symbol: V_rms

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Root Mean Square Voltage

Phase Difference

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.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Real Power

Go Power in Single-Phase AC Circuits

P = V \cdot I \cdot \cos (Φ)

Go Power in Single-Phase AC Circuits using Current

P = I^{2} \cdot R \cdot \cos (Φ)

Go Real Power in AC Circuit

P = V \cdot I \cdot \cos (Φ)

Go Real Power using Line-to-Neutral Voltage

P = 3 \cdot I ln \cdot V ln \cdot \cos (Φ)

Other formulas in AC Power category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Capacitance given Cut off Frequency

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

Go Capacitance using Time Constant

C = \frac{τ}{R}

How to Evaluate Real Power using RMS Voltage and Current?

Real Power using RMS Voltage and Current evaluator uses Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference) to evaluate the Real Power, Real Power using RMS Voltage and Current 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. Real Power is denoted by P symbol.

How to evaluate Real Power using RMS Voltage and Current using this online evaluator? To use this online evaluator for Real Power using RMS Voltage and Current, enter Root Mean Square Current (I_rms), Root Mean Square Voltage (V_rms) & Phase Difference (Φ) and hit the calculate button.

FAQs on Real Power using RMS Voltage and Current

What is the formula to find Real Power using RMS Voltage and Current?

The formula of Real Power using RMS Voltage and Current is expressed as Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference). Here is an example- 234.0434 = 4.7*57.5*cos(0.5235987755982).

How to calculate Real Power using RMS Voltage and Current?

With Root Mean Square Current (I_rms), Root Mean Square Voltage (V_rms) & Phase Difference (Φ) we can find Real Power using RMS Voltage and Current using the formula - Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference). This formula also uses Cosine function(s).

What are the other ways to Calculate Real Power?

Here are the different ways to Calculate Real Power-

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

Can the Real Power using RMS Voltage and Current be negative?

No, the Real Power using RMS Voltage and Current, measured in Power cannot be negative.

Which unit is used to measure Real Power using RMS Voltage and Current?

Real Power using RMS Voltage and Current is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Real Power using RMS Voltage and Current can be measured.

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Real Power using RMS Voltage and Current Formula

​GoPower in Single-Phase AC Circuits Formula

​GoPower in Single-Phase AC Circuits using Current Formula

Real Power using RMS Voltage and Current Example

Real Power using RMS Voltage and Current Solution

Real Power using RMS Voltage and Current Formula Elements

Other Formulas to find Real Power

Other formulas in AC Power category

How to Evaluate Real Power using RMS Voltage and Current?

FAQs on Real Power using RMS Voltage and Current

Variable Name

GoPower in Single-Phase AC Circuits Formula

GoPower in Single-Phase AC Circuits using Current Formula