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Power in Single-Phase AC Circuits using Voltage 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 = \frac{V^{2} \cdot \cos (Φ)}{R}

P - Real Power?V - Voltage?Φ - Phase Difference?R - Resistance?

Power in Single-Phase AC Circuits using Voltage Example

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Here is how the Power in Single-Phase AC Circuits using Voltage equation looks like with Values.

Here is how the Power in Single-Phase AC Circuits using Voltage equation looks like with Units.

Here is how the Power in Single-Phase AC Circuits using Voltage equation looks like.

243.9305 = \frac{130^{2} \cdot \cos (30)}{60}

243.9305W = \frac{{130V}^{2} \cdot \cos (30°)}{60Ω}

243.9305 = \frac{130^{2} \cdot \cos (30)}{60}

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Power in Single-Phase AC Circuits using Voltage Solution

Follow our step by step solution on how to calculate Power in Single-Phase AC Circuits using Voltage?

FIRST Step Consider the formula

P = \frac{V^{2} \cdot \cos (Φ)}{R}

Next Step Substitute values of Variables

∴

P = \frac{{130V}^{2} \cdot \cos (30°)}{60Ω}

Next Step Convert Units

∴

P = \frac{{130V}^{2} \cdot \cos (0.5236rad)}{60Ω}

Next Step Prepare to Evaluate

∴

P = \frac{130^{2} \cdot \cos (0.5236)}{60}

Next Step Evaluate

∴

P = 243.930488732617W

LAST Step Rounding Answer

∴

P = 243.9305W

Power in Single-Phase AC Circuits using Voltage 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

Voltage

Voltage is used to determine the value of the potential difference between terminals where alternating current flows.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find 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

Resistance

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).

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

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 Power in Three-Phase AC Circuits using Phase Current

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

Go Real Power in AC Circuit

P = V \cdot I \cdot \cos (Φ)

Other formulas in AC Power category

Go Complex Power

S = \sqrt{P^{2} + Q^{2}}

Go Complex Power given Power Factor

S = \frac{P}{\cos (Φ)}

Go Reactive Power

Q = I \cdot V \cdot \sin (Φ)

Go Reactive Power using Line-to-Neutral Current

Q = 3 \cdot I ln \cdot V ln \cdot \sin (Φ)

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

Power in Single-Phase AC Circuits using Voltage evaluator uses Real Power = (Voltage^2*cos(Phase Difference))/Resistance to evaluate 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 evaluate Power in Single-Phase AC Circuits using Voltage using this online evaluator? To use this online evaluator for Power in Single-Phase AC Circuits using Voltage, enter Voltage (V), Phase Difference (Φ) & Resistance (R) and hit the calculate button.

FAQs on Power in Single-Phase AC Circuits using Voltage

What is the formula to find Power in Single-Phase AC Circuits using Voltage?

The formula of Power in Single-Phase AC Circuits using Voltage is expressed as Real Power = (Voltage^2*cos(Phase Difference))/Resistance. Here is an example- 243.9305 = (130^2*cos(0.5235987755982))/60.

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

With Voltage (V), Phase Difference (Φ) & Resistance (R) we can find Power in Single-Phase AC Circuits using Voltage using the formula - Real Power = (Voltage^2*cos(Phase Difference))/Resistance. This formula also uses Cosine (cos) 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=3*Phase Voltage*Phase Current*cos(Phase Difference)

Can the Power in Single-Phase AC Circuits using Voltage be negative?

No, the Power in Single-Phase AC Circuits using Voltage, measured in Power cannot be negative.

Which unit is used to measure Power in Single-Phase AC Circuits using Voltage?

Power in Single-Phase AC Circuits using Voltage is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power in Single-Phase AC Circuits using Voltage can be measured.

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