Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Calculator

✖Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.ⓘ Peak Input Voltage [V_i(max)]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%
✖Trigger Angle in Degree it gives the firing angle of thyristor in degree.ⓘ Trigger Angle in Degree [α_d]			+10% -10%

✖Average Output Current is defined as measure of the flow of electric charge in a circuit over a specified time period.ⓘ Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD [I_avg]

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Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Formula

`"I"_{"avg"} = "V"_{"i(max)"}/(pi*"R")*(1+cos("α"_{"d"}))`

Example

`"0.478182A"="22V"/(pi*"25Ω")*(1+cos("45°"))`

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Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree))
I_avg = V_i(max)/(pi*R)*(1+cos(α_d))
This formula uses 1 Constants, 1 Functions, 4 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 Current - (Measured in Ampere) - Average Output Current is defined as measure of the flow of electric charge in a circuit over a specified time period.
Peak Input Voltage - (Measured in Volt) - Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
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
Resistance: 25 Ohm --> 25 Ohm No Conversion Required
Trigger Angle in Degree: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_avg = V_i(max)/(pi*R)*(1+cos(α_d)) --> 22/(pi*25)*(1+cos(0.785398163397301))

Evaluating ... ...

I_avg = 0.478182289396328

STEP 3: Convert Result to Output's Unit

0.478182289396328 Ampere --> No Conversion Required

FINAL ANSWER

0.478182289396328 ≈ 0.478182 Ampere <-- Average Output Current

(Calculation completed in 00.004 seconds)

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Created by Pratik Kumar Singh

Vellore Institute of Technology (VIT), Vellore

Pratik Kumar Singh has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 7 Full Wave Controlled Rectifiers Calculators

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))

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)))

RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go 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))

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

Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree))

RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

Go RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)

Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula

Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree))
I_avg = V_i(max)/(pi*R)*(1+cos(α_d))

How does firing angle affect the Average Output Current in full-wave controlled rectifier?

Changing the firing angle in a full-wave controlled rectifier significantly affects the Average Output Current. As the firing angle increases, the conduction period of the thyristors decreases, resulting in a smaller portion of the AC input voltage being rectified and sent to the load. This leads to a lower average output current, causing a greater phase shift between the current and voltage waveforms. Conversely, decreasing the firing angle increases conduction time, leading to a higher average output current and reduced phase shift, resulting in a smoother and more continuous output current waveform.

How to Calculate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD calculator uses Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree)) to calculate the Average Output Current, The Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the mean value of the rectified output current over one complete AC cycle. The freewheeling diode ensures that the current remains continuous. Average Output Current is denoted by I_avg symbol.

How to calculate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD using this online calculator? To use this online calculator for Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD, enter Peak Input Voltage (V_i(max)), Resistance (R) & Trigger Angle in Degree (α_d) and hit the calculate button. Here is how the Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD calculation can be explained with given input values -> 0.478182 = 22/(pi*25)*(1+cos(0.785398163397301)).

FAQ

What is Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

The Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the mean value of the rectified output current over one complete AC cycle. The freewheeling diode ensures that the current remains continuous and is represented as I_avg = V_i(max)/(pi*R)*(1+cos(α_d)) or Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree)). Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit, Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm & Trigger Angle in Degree it gives the firing angle of thyristor in degree.

How to calculate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

The Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the mean value of the rectified output current over one complete AC cycle. The freewheeling diode ensures that the current remains continuous is calculated using Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree)). To calculate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD, you need Peak Input Voltage (V_i(max)), Resistance (R) & Trigger Angle in Degree (α_d). With our tool, you need to enter the respective value for Peak Input Voltage, Resistance & 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.

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