RMS Current 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 Voltage is the square root of the time average of the voltage squared.ⓘ Root Mean Square Voltage [V_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 Current is defined as the root mean square of a given current.ⓘ RMS Current using Real Power [I_rms]

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RMS Current using Real Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
I_rms = P/(V_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 Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of a given current.
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 Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
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 Voltage: 57.5 Volt --> 57.5 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_rms = P/(V_rms*cos(Φ)) --> 235/(57.5*cos(0.5235987755982))

Evaluating ... ...

I_rms = 4.71921089598477

STEP 3: Convert Result to Output's Unit

4.71921089598477 Ampere --> No Conversion Required

FINAL ANSWER

4.71921089598477 ≈ 4.719211 Ampere <-- Root Mean Square Current

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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RMS Current using Real Power Formula

LaTeX Go

Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
I_rms = P/(V_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 Current using Real Power?

RMS Current using Real Power calculator uses Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference)) to calculate the Root Mean Square Current, RMS Current using Real Power is defined as the steady or DC current which when flowing through a circuit for a given time period produces the same heat as produced by the AC current flowing through the same circuit for the same time period. Root Mean Square Current is denoted by I_rms symbol.

How to calculate RMS Current using Real Power using this online calculator? To use this online calculator for RMS Current using Real Power, enter Real Power (P), Root Mean Square Voltage (V_rms) & Phase Difference (Φ) and hit the calculate button. Here is how the RMS Current using Real Power calculation can be explained with given input values -> 4.719211 = 235/(57.5*cos(0.5235987755982)).

FAQ

What is RMS Current using Real Power?

RMS Current using Real Power is defined as the steady or DC current which when flowing through a circuit for a given time period produces the same heat as produced by the AC current flowing through the same circuit for the same time period and is represented as I_rms = P/(V_rms*cos(Φ)) or Root Mean Square Current = Real Power/(Root Mean Square Voltage*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 Voltage is the square root of the time average of the voltage squared & 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 Current using Real Power?

RMS Current using Real Power is defined as the steady or DC current which when flowing through a circuit for a given time period produces the same heat as produced by the AC current flowing through the same circuit for the same time period is calculated using Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference)). To calculate RMS Current using Real Power, you need Real Power (P), Root Mean Square Voltage (V_rms) & Phase Difference (Φ). With our tool, you need to enter the respective value for Real Power, Root Mean Square Voltage & 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 Current?

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

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

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