## Average Output Voltage of Half Wave Controlled Rectifier with R Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))
Vavg(half) = Vi(max)/(2*pi)*(1+cos(αd))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Average Output Voltage in Half Wave - (Measured in Volt) - Average Output Voltage in Half Wave gives the average value of output voltage.
Peak Input Voltage - (Measured in Volt) - Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.
Trigger Angle in Degree - (Measured in Radian) - Trigger Angle in Degree it gives the firing angle of thyristor in degree.
STEP 1: Convert Input(s) to Base Unit
Peak Input Voltage: 22 Volt --> 22 Volt No Conversion Required
Trigger Angle in Degree: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vavg(half) = Vi(max)/(2*pi)*(1+cos(αd)) --> 22/(2*pi)*(1+cos(0.785398163397301))
Evaluating ... ...
Vavg(half) = 5.9772786174541
STEP 3: Convert Result to Output's Unit
5.9772786174541 Volt --> No Conversion Required
5.9772786174541 5.977279 Volt <-- Average Output Voltage in Half Wave
(Calculation completed in 00.004 seconds)
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Created by Pratik Kumar Singh
Vellore Institute of Technology (VIT), Vellore
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## <Half Wave Controlled Rectifiers Calculators

​ Go Average Load Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)+cos(Extinction Angle))+(Back EMF/2)*(1+((Diode Turn On Angle Radians+Trigger Angle in Radians)/pi))
RMS Output Voltage of Half Wave Thyristor Rectifier with R Load
​ Go RMS Voltage in Half Wave = (Maximum Output Voltage*sqrt(pi-Trigger Angle in Radians+(0.5*sin(2*Trigger Angle in Degree))))/(2*sqrt(pi))
Average Voltage of Half Wave Thyristor Rectifier with RL Load
​ Go Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle))
Voltage Ripple Factor of Half Wave Thyristor Rectifier with R Load
​ Go Ripple Factor = sqrt(Form Factor^2-1)

## Average Output Voltage of Half Wave Controlled Rectifier with R Load Formula

Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))
Vavg(half) = Vi(max)/(2*pi)*(1+cos(αd))

## What is the purpose of a thyristor (SCR) in a half-wave controlled rectifier circuit?

A thyristor is to control the conduction of AC voltage, allowing only a portion of the input waveform to pass through and be rectified into DC. By adjusting the firing angle (the moment when the SCR is triggered to conduct), the SCR acts as a switch, regulating the output voltage and power delivered to the load. This controlled conduction of the SCR is vital for applications where variable DC voltage or power control is required, such as in lighting dimmers, motor speed control, and heating systems.

## How to Calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load?

Average Output Voltage of Half Wave Controlled Rectifier with R Load calculator uses Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)) to calculate the Average Output Voltage in Half Wave, The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage . Average Output Voltage in Half Wave is denoted by Vavg(half) symbol.

How to calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load using this online calculator? To use this online calculator for Average Output Voltage of Half Wave Controlled Rectifier with R Load, enter Peak Input Voltage (Vi(max)) & Trigger Angle in Degree d) and hit the calculate button. Here is how the Average Output Voltage of Half Wave Controlled Rectifier with R Load calculation can be explained with given input values -> 5.977279 = 22/(2*pi)*(1+cos(0.785398163397301)).

### FAQ

What is Average Output Voltage of Half Wave Controlled Rectifier with R Load?
The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage and is represented as Vavg(half) = Vi(max)/(2*pi)*(1+cos(αd)) or Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)). Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit & Trigger Angle in Degree it gives the firing angle of thyristor in degree.
How to calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load?
The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage is calculated using Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)). To calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load, you need Peak Input Voltage (Vi(max)) & Trigger Angle in Degree d). With our tool, you need to enter the respective value for Peak Input Voltage & Trigger Angle in Degree 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 Average Output Voltage in Half Wave?
In this formula, Average Output Voltage in Half Wave uses Peak Input Voltage & Trigger Angle in Degree. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle))
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