## Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Output Voltage Half = (Peak Input Voltage SP/(2*pi))*(1-cos(Diode Extinction Angle))
Vdc(h) = (V(max)/(2*pi))*(1-cos(βdiode))
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 Half - (Measured in Volt) - Average Output Voltage Half is the average dc value of the output voltage.
Peak Input Voltage SP - (Measured in Volt) - Peak Input Voltage SP is the peak of the alternating voltage provided at the input of any electrical circuit.
Diode Extinction Angle - (Measured in Radian) - Diode Extinction Angle is the angle (in radians) beyond which a diode stops conduction and diode current falls to 0.
STEP 1: Convert Input(s) to Base Unit
Peak Input Voltage SP: 221 Volt --> 221 Volt No Conversion Required
Diode Extinction Angle: 60 Radian --> 60 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vdc(h) = (V(max)/(2*pi))*(1-cos(βdiode)) --> (221/(2*pi))*(1-cos(60))
Evaluating ... ...
Vdc(h) = 68.6726950705573
STEP 3: Convert Result to Output's Unit
68.6726950705573 Volt --> No Conversion Required
FINAL ANSWER
68.6726950705573 68.6727 Volt <-- Average Output Voltage Half
(Calculation completed in 00.004 seconds)
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Created by Parminder Singh
Chandigarh University (CU), Punjab
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## <Half Wave Calculators

Average Load Current of Single Phase Half Wave Diode Rectifier with Resistive Load
​ Go Average Load Current SP = Peak Input Voltage SP/(pi*Resistance SP)
RMS Load Current of Single Phase Half Wave Diode Rectifier with Resistive Load
​ Go RMS Load Current SP = Peak Input Voltage SP/(2*Resistance SP)
Average Output Voltage of Single Phase Half Wave Diode Rectifier with Resistive Load
​ Go Average Output Voltage Half = Peak Input Voltage SP/pi
RMS Output Voltage of Single Phase Half Wave Diode Rectifier with Resistive Load
​ Go RMS Output Voltage Half = Peak Input Voltage SP/2

## Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load Formula

Average Output Voltage Half = (Peak Input Voltage SP/(2*pi))*(1-cos(Diode Extinction Angle))
Vdc(h) = (V(max)/(2*pi))*(1-cos(βdiode))

## What is conduction angle for RL load?

For a half wave diode rectifier with resistive and inductive load, the conduction angle is defined as the instant at which the diode current drops to 0 and diode stop conducting. For RL load, the value of conduction angle is beyond pi/2 radians due to the discharging of inductor.

## How to Calculate Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load?

Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load calculator uses Average Output Voltage Half = (Peak Input Voltage SP/(2*pi))*(1-cos(Diode Extinction Angle)) to calculate the Average Output Voltage Half, The Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load formula is defined as the average of voltage on the load side of a rectifier over a complete cycle when the load is resistive and inductive in nature. Average Output Voltage Half is denoted by Vdc(h) symbol.

How to calculate Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load using this online calculator? To use this online calculator for Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load, enter Peak Input Voltage SP (V(max)) & Diode Extinction Angle diode) and hit the calculate button. Here is how the Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load calculation can be explained with given input values -> 68.6727 = (221/(2*pi))*(1-cos(60)).

### FAQ

What is Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load?
The Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load formula is defined as the average of voltage on the load side of a rectifier over a complete cycle when the load is resistive and inductive in nature and is represented as Vdc(h) = (V(max)/(2*pi))*(1-cos(βdiode)) or Average Output Voltage Half = (Peak Input Voltage SP/(2*pi))*(1-cos(Diode Extinction Angle)). Peak Input Voltage SP is the peak of the alternating voltage provided at the input of any electrical circuit & Diode Extinction Angle is the angle (in radians) beyond which a diode stops conduction and diode current falls to 0.
How to calculate Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load?
The Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load formula is defined as the average of voltage on the load side of a rectifier over a complete cycle when the load is resistive and inductive in nature is calculated using Average Output Voltage Half = (Peak Input Voltage SP/(2*pi))*(1-cos(Diode Extinction Angle)). To calculate Average Output Voltage of Single Phase Half Wave Diode Rectifier with RL Load, you need Peak Input Voltage SP (V(max)) & Diode Extinction Angle diode). With our tool, you need to enter the respective value for Peak Input Voltage SP & Diode Extinction Angle 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 Half?
In this formula, Average Output Voltage Half uses Peak Input Voltage SP & Diode Extinction Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Average Output Voltage Half = Peak Input Voltage SP/pi
• Average Output Voltage Half = Peak Input Voltage SP/pi
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