RMS Output Voltage for RL Load Calculator

✖Time Period is the time it takes for one complete cycle of the waveform to occur.ⓘ Time Period [T]			+10% -10%
✖The Input Voltage for RL Load in an Electrical Circuit is the Voltage Supplied by the Voltage Source or the Power Supply Connected to the Circuit.ⓘ Input Voltage for RL Load [E]			+10% -10%

✖RMS Output Voltage For RL Load is the root mean square value of the average output voltage of any type of inverter.ⓘ RMS Output Voltage for RL Load [E_rms]

⎘ Copy

👎

Formula

✖

RMS Output Voltage for RL Load

Formula

`"E"_{"rms"} = sqrt((2/("T"/2))*int(("E"^2),x,0,"T"/2))`

Example

`"296.9848V"=sqrt((2/("1.148s"/2))*int((("210.0V")^2),x,0,"1.148s"/2))`

Calculator

LaTeX

Reset

👍

Download Inverters Formulas PDF PDF Image

RMS Output Voltage for RL Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2))
E_rms = sqrt((2/(T/2))*int((E^2),x,0,T/2))
This formula uses 2 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

RMS Output Voltage For RL Load - (Measured in Volt) - RMS Output Voltage For RL Load is the root mean square value of the average output voltage of any type of inverter.
Time Period - (Measured in Second) - Time Period is the time it takes for one complete cycle of the waveform to occur.
Input Voltage for RL Load - (Measured in Volt) - The Input Voltage for RL Load in an Electrical Circuit is the Voltage Supplied by the Voltage Source or the Power Supply Connected to the Circuit.

STEP 1: Convert Input(s) to Base Unit

Time Period: 1.148 Second --> 1.148 Second No Conversion Required
Input Voltage for RL Load: 210 Volt --> 210 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_rms = sqrt((2/(T/2))*int((E^2),x,0,T/2)) --> sqrt((2/(1.148/2))*int((210^2),x,0,1.148/2))

Evaluating ... ...

E_rms = 296.98484809835

STEP 3: Convert Result to Output's Unit

296.98484809835 Volt --> No Conversion Required

FINAL ANSWER

296.98484809835 ≈ 296.9848 Volt <-- RMS Output Voltage For RL Load

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power Electronics » Inverters » Single Phase Inverters » RMS Output Voltage for RL Load

Credits

Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

Siddharth Raj has created this Calculator and 10+ more calculators!

Verified by banuprakash

Dayananda Sagar College of Engineering (DSCE), Bangalore

banuprakash has verified this Calculator and 25+ more calculators!

< 5 Single Phase Inverters Calculators

RMS Output Voltage for SPWM Inverter

Go RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi)))

RMS Output Voltage for RL Load

Go RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2))

RMS Value of Fundamental Component of Voltage for Half Bridge

Go Fundamental Component Voltage Half Wave = 0.45*Input Voltage

RMS Value of Fundamental Component of Voltage for Full Bridge

Go Fundamental Component Voltage Full Wave = 0.9*Input Voltage

RMS Output Voltage for Single Phase Inverter

Go RMS Output Voltage = Input Voltage/2

RMS Output Voltage for RL Load Formula

RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2))
E_rms = sqrt((2/(T/2))*int((E^2),x,0,T/2))

What are the Significance of RL Load?

RL loads, with their energy storage capability and influence on circuit impedance, are essential for power conversion, filtering, and transient response in electrical systems, contributing to functions such as voltage regulation, power factor correction, and signal processing, thereby ensuring efficient and reliable operation across various applications.

How to Calculate RMS Output Voltage for RL Load?

RMS Output Voltage for RL Load calculator uses RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2)) to calculate the RMS Output Voltage For RL Load, The RMS Output Voltage for RL Load in an electrical circuit is the square root of the average value of the squared voltage waveform across the load over one complete cycle. It represents the effective voltage that provides the same amount of power dissipation as a DC voltage across the load. RMS Output Voltage For RL Load is denoted by E_rms symbol.

How to calculate RMS Output Voltage for RL Load using this online calculator? To use this online calculator for RMS Output Voltage for RL Load, enter Time Period (T) & Input Voltage for RL Load (E) and hit the calculate button. Here is how the RMS Output Voltage for RL Load calculation can be explained with given input values -> 296.9848 = sqrt((2/(1.148/2))*int((210^2),x,0,1.148/2)).

FAQ

What is RMS Output Voltage for RL Load?

The RMS Output Voltage for RL Load in an electrical circuit is the square root of the average value of the squared voltage waveform across the load over one complete cycle. It represents the effective voltage that provides the same amount of power dissipation as a DC voltage across the load and is represented as E_rms = sqrt((2/(T/2))*int((E^2),x,0,T/2)) or RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2)). Time Period is the time it takes for one complete cycle of the waveform to occur & The Input Voltage for RL Load in an Electrical Circuit is the Voltage Supplied by the Voltage Source or the Power Supply Connected to the Circuit.

How to calculate RMS Output Voltage for RL Load?

The RMS Output Voltage for RL Load in an electrical circuit is the square root of the average value of the squared voltage waveform across the load over one complete cycle. It represents the effective voltage that provides the same amount of power dissipation as a DC voltage across the load is calculated using RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2)). To calculate RMS Output Voltage for RL Load, you need Time Period (T) & Input Voltage for RL Load (E). With our tool, you need to enter the respective value for Time Period & Input Voltage for RL Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search