Active Power in Single Phase AC Circuits Calculator

✖Voltage is a measure of the electric potential difference between two points in an electrical circuit, representing the force that drives the flow of electric current.ⓘ Voltage [V_ap]			+10% -10%
✖Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit.ⓘ Corrected Current in AC Circuit [I_corr]			+10% -10%
✖Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.ⓘ Phase Angle [θ_ph]			+10% -10%

✖Active Power in DC Circuit is defined as the actual work done or energy transferred by the circuit.ⓘ Active Power in Single Phase AC Circuits [P_dc]

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Formula

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Active Power in Single Phase AC Circuits

Formula

`"P"_{"dc"} = "V"_{"ap"}*"I"_{"corr"}*cos("θ"_{"ph"})`

Example

`"167.3161W"="12V"*"16.1A"*cos("30°")`

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Active Power in Single Phase AC Circuits Solution

STEP 0: Pre-Calculation Summary

Formula Used

Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle)
P_dc = V_ap*I_corr*cos(θ_ph)
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

Active Power in DC Circuit - (Measured in Watt) - Active Power in DC Circuit is defined as the actual work done or energy transferred by the circuit.
Voltage - (Measured in Volt) - Voltage is a measure of the electric potential difference between two points in an electrical circuit, representing the force that drives the flow of electric current.
Corrected Current in AC Circuit - (Measured in Ampere) - Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit.
Phase Angle - (Measured in Radian) - Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.

STEP 1: Convert Input(s) to Base Unit

Voltage: 12 Volt --> 12 Volt No Conversion Required
Corrected Current in AC Circuit: 16.1 Ampere --> 16.1 Ampere No Conversion Required
Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_dc = V_ap*I_corr*cos(θ_ph) --> 12*16.1*cos(0.5235987755982)

Evaluating ... ...

P_dc = 167.316108011154

STEP 3: Convert Result to Output's Unit

167.316108011154 Watt --> No Conversion Required

FINAL ANSWER

167.316108011154 ≈ 167.3161 Watt <-- Active Power in DC Circuit

(Calculation completed in 00.004 seconds)

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Credits

Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

Mohamed Fazil V has created this Calculator and 50+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

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Active Power in Single Phase AC Circuits Formula

Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle)
P_dc = V_ap*I_corr*cos(θ_ph)

What is Active Power in Single Phase AC Circuits ?

In single-phase AC circuits, active power refers to the real power that is consumed or supplied by the load or device. Active power is the portion of the total power that actually performs useful work, such as generating heat, producing mechanical motion, or powering electrical appliances. In single-phase AC circuits, the active power represents the actual power being used to perform work, just like in DC circuits. It's the component of power that is responsible for heating elements, driving motors, and powering various appliances.

How to Calculate Active Power in Single Phase AC Circuits?

Active Power in Single Phase AC Circuits calculator uses Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle) to calculate the Active Power in DC Circuit, Active Power in Single Phase AC Circuits, also known as real power or true power, refers to the average rate at which electrical energy is converted into usable work by the load. Voltage and current waveforms may not be perfectly aligned in time. This phase difference affects how much of the delivered power is truly utilized for work. Active Power in DC Circuit is denoted by P_dc symbol.

How to calculate Active Power in Single Phase AC Circuits using this online calculator? To use this online calculator for Active Power in Single Phase AC Circuits, enter Voltage (V_ap), Corrected Current in AC Circuit (I_corr) & Phase Angle (θ_ph) and hit the calculate button. Here is how the Active Power in Single Phase AC Circuits calculation can be explained with given input values -> 167.3161 = 12*16.1*cos(0.5235987755982).

FAQ

What is Active Power in Single Phase AC Circuits?

Active Power in Single Phase AC Circuits, also known as real power or true power, refers to the average rate at which electrical energy is converted into usable work by the load. Voltage and current waveforms may not be perfectly aligned in time. This phase difference affects how much of the delivered power is truly utilized for work and is represented as P_dc = V_ap*I_corr*cos(θ_ph) or Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle). Voltage is a measure of the electric potential difference between two points in an electrical circuit, representing the force that drives the flow of electric current, Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit & Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.

How to calculate Active Power in Single Phase AC Circuits?

Active Power in Single Phase AC Circuits, also known as real power or true power, refers to the average rate at which electrical energy is converted into usable work by the load. Voltage and current waveforms may not be perfectly aligned in time. This phase difference affects how much of the delivered power is truly utilized for work is calculated using Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle). To calculate Active Power in Single Phase AC Circuits, you need Voltage (V_ap), Corrected Current in AC Circuit (I_corr) & Phase Angle (θ_ph). With our tool, you need to enter the respective value for Voltage, Corrected Current in AC Circuit & Phase Angle 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 Active Power in DC Circuit?

In this formula, Active Power in DC Circuit uses Voltage, Corrected Current in AC Circuit & Phase Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle)

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