## RMS Voltage of Full Wave Thyristor Rectifier with R Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))
Vrms(full) = sqrt(((0.5*sin(2*αd))+pi-αr)*((Vo(max)^2)/(2*pi)))
This formula uses 1 Constants, 2 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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)
Variables Used
RMS Voltage in Full Wave - (Measured in Volt) - RMS Voltage in Full Wave is defined as the root mean square value of the voltage in a thyristor rectifier.
Trigger Angle in Degree - (Measured in Radian) - Trigger Angle in Degree it gives the firing angle of thyristor in degree.
Trigger Angle in Radians - (Measured in Radian) - Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.
Maximum Output Voltage - (Measured in Volt) - Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.
STEP 1: Convert Input(s) to Base Unit
Trigger Angle in Degree: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
Maximum Output Voltage: 21 Volt --> 21 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms(full) = sqrt(((0.5*sin(2*αd))+pi-αr)*((Vo(max)^2)/(2*pi))) --> sqrt(((0.5*sin(2*0.785398163397301))+pi-0.84)*((21^2)/(2*pi)))
Evaluating ... ...
Vrms(full) = 14.0227068653952
STEP 3: Convert Result to Output's Unit
14.0227068653952 Volt --> No Conversion Required
14.0227068653952 14.02271 Volt <-- RMS Voltage in Full Wave
(Calculation completed in 00.004 seconds)
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## <Full Wave Controlled Rectifiers Calculators

RMS Voltage of Full Wave Thyristor Rectifier with R Load
​ Go RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))
Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD
​ Go Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree))
Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
​ Go Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi
RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
​ Go RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)

## RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula

RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))
Vrms(full) = sqrt(((0.5*sin(2*αd))+pi-αr)*((Vo(max)^2)/(2*pi)))

## What is the function of thyristor?

Thyristors are mainly used where high currents and voltages are involved, and are often used to control alternating currents, where the change of polarity of the current causes the device to switch off automatically, referred to as "zero cross" operation.

## How to Calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

RMS Voltage of Full Wave Thyristor Rectifier with R Load calculator uses RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi))) to calculate the RMS Voltage in Full Wave, The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian. RMS Voltage in Full Wave is denoted by Vrms(full) symbol.

How to calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load using this online calculator? To use this online calculator for RMS Voltage of Full Wave Thyristor Rectifier with R Load, enter Trigger Angle in Degree d), Trigger Angle in Radians r) & Maximum Output Voltage (Vo(max)) and hit the calculate button. Here is how the RMS Voltage of Full Wave Thyristor Rectifier with R Load calculation can be explained with given input values -> 14.02271 = sqrt(((0.5*sin(2*0.785398163397301))+pi-0.84)*((21^2)/(2*pi))).

### FAQ

What is RMS Voltage of Full Wave Thyristor Rectifier with R Load?
The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian and is represented as Vrms(full) = sqrt(((0.5*sin(2*αd))+pi-αr)*((Vo(max)^2)/(2*pi))) or RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi))). Trigger Angle in Degree it gives the firing angle of thyristor in degree, Trigger Angle in Radians is defined as the firing angle of a thyristor in radians & Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.
How to calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load?
The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian is calculated using RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi))). To calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load, you need Trigger Angle in Degree d), Trigger Angle in Radians r) & Maximum Output Voltage (Vo(max)). With our tool, you need to enter the respective value for Trigger Angle in Degree, Trigger Angle in Radians & Maximum Output Voltage 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 RMS Voltage in Full Wave?
In this formula, RMS Voltage in Full Wave uses Trigger Angle in Degree, Trigger Angle in Radians & Maximum Output Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -
• RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)
• RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))
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