RMS Voltage using Real Power Calculator

✖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.ⓘ Real Power [P]			+10% -10%
✖Root Mean Square Current is defined as the root mean square of a given current.ⓘ Root Mean Square Current [I_rms]			+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%

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ RMS Voltage using Real Power [V_rms]

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RMS Voltage using Real Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))
V_rms = P/(I_rms*cos(Φ))
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

Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
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.
Root Mean Square Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of a given current.
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.

STEP 1: Convert Input(s) to Base Unit

Real Power: 235 Watt --> 235 Watt No Conversion Required
Root Mean Square Current: 4.7 Ampere --> 4.7 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms = P/(I_rms*cos(Φ)) --> 235/(4.7*cos(0.5235987755982))

Evaluating ... ...

V_rms = 57.7350269189626

STEP 3: Convert Result to Output's Unit

57.7350269189626 Volt --> No Conversion Required

FINAL ANSWER

57.7350269189626 ≈ 57.73503 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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RMS Voltage using Reactive Power

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

RMS Voltage using Real Power

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

Voltage using Reactive Power

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

Voltage using Real Power

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

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Capacitance given Cut off Frequency

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RMS Voltage using Real Power Formula

LaTeX Go

Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))
V_rms = P/(I_rms*cos(Φ))

What is the difference between real power and reactive power?

Real Power is equal to the Reactive Power i.e. there is no VAr in DC Circuits. Only Real Power exists. There is no Reactive Power in DC circuits due to the zero phase angle (Φ) between current and voltage. Real power is important to produce heat and utilize the electric and magnetic field generated by Reactive Power.

How to Calculate RMS Voltage using Real Power?

RMS Voltage using Real Power calculator uses Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference)) to calculate the Root Mean Square Voltage, RMS Voltage using Real Power is the square root of the time average of the voltage squared, which can also be referred to as the effective value, which depends on the magnitude of the waveform and is not a function of either the frequency or its phase angle. Root Mean Square Voltage is denoted by V_rms symbol.

How to calculate RMS Voltage using Real Power using this online calculator? To use this online calculator for RMS Voltage using Real Power, enter Real Power (P), Root Mean Square Current (I_rms) & Phase Difference (Φ) and hit the calculate button. Here is how the RMS Voltage using Real Power calculation can be explained with given input values -> 57.73503 = 235/(4.7*cos(0.5235987755982)).

FAQ

What is RMS Voltage using Real Power?

RMS Voltage using Real Power is the square root of the time average of the voltage squared, which can also be referred to as the effective value, which depends on the magnitude of the waveform and is not a function of either the frequency or its phase angle and is represented as V_rms = P/(I_rms*cos(Φ)) or Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference)). 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, Root Mean Square Current is defined as the root mean square of a given current & 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.

How to calculate RMS Voltage using Real Power?

RMS Voltage using Real Power is the square root of the time average of the voltage squared, which can also be referred to as the effective value, which depends on the magnitude of the waveform and is not a function of either the frequency or its phase angle is calculated using Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference)). To calculate RMS Voltage using Real Power, you need Real Power (P), Root Mean Square Current (I_rms) & Phase Difference (Φ). With our tool, you need to enter the respective value for Real Power, Root Mean Square Current & Phase Difference 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 Root Mean Square Voltage?

In this formula, Root Mean Square Voltage uses Real Power, Root Mean Square Current & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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