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RMS Current using Real Power Formula

GoRMS Current using Reactive Power Formula

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

I rms = \frac{P}{V rms \cdot \cos (Φ)}

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

RMS Current using Real Power Example

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

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

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

4.7192 = \frac{235}{57.5 \cdot \cos (30)}

4.7192A = \frac{235W}{57.5V \cdot \cos (30°)}

4.7192 = \frac{235}{57.5 \cdot \cos (30)}

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RMS Current using Real Power Solution

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

FIRST Step Consider the formula

I rms = \frac{P}{V rms \cdot \cos (Φ)}

Next Step Substitute values of Variables

∴

I rms = \frac{235W}{57.5V \cdot \cos (30°)}

Next Step Convert Units

∴

I rms = \frac{235W}{57.5V \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

I rms = \frac{235}{57.5 \cdot \cos (0.5236)}

Next Step Evaluate

∴

I rms = 4.71921089598477A

LAST Step Rounding Answer

∴

I rms = 4.7192A

RMS Current using Real Power Formula Elements

Variables

Functions

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

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 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 Root Mean Square Current

Go RMS Current using Reactive Power

I rms = \frac{Q}{V rms \cdot \sin (Φ)}

Other formulas in Current 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 RMS Current using Real Power?

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

FAQs on RMS Current using Real Power

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

The formula of RMS Current using Real Power is expressed as Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference)). Here is an example- 4.719211 = 235/(57.5*cos(0.5235987755982)).

How to calculate RMS Current using Real Power?

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

What are the other ways to Calculate Root Mean Square Current?

Here are the different ways to Calculate Root Mean Square Current-

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

Can the RMS Current using Real Power be negative?

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

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

RMS Current using Real Power is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which RMS Current using Real Power can be measured.

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RMS Current using Real Power Formula

​GoRMS Current using Reactive Power Formula

RMS Current using Real Power Example

RMS Current using Real Power Solution

RMS Current using Real Power Formula Elements

Other Formulas to find Root Mean Square Current

Other formulas in Current category

How to Evaluate RMS Current using Real Power?

FAQs on RMS Current using Real Power

Variable Name

GoRMS Current using Reactive Power Formula