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

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Average Output Current is defined as measure of the flow of electric charge in a circuit over a specified time period. Check FAQs
Iavg=Vi(max)πR(1+cos(αd))
Iavg - Average Output Current?Vi(max) - Peak Input Voltage?R - Resistance?αd - Trigger Angle in Degree?π - Archimedes' constant?

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

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Here is how the Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD equation looks like with Values.

Here is how the Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD equation looks like with Units.

Here is how the Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD equation looks like.

0.4782Edit=22Edit3.141625Edit(1+cos(45Edit))
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Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Solution

Follow our step by step solution on how to calculate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

FIRST Step Consider the formula
Iavg=Vi(max)πR(1+cos(αd))
Next Step Substitute values of Variables
Iavg=22Vπ25Ω(1+cos(45°))
Next Step Substitute values of Constants
Iavg=22V3.141625Ω(1+cos(45°))
Next Step Convert Units
Iavg=22V3.141625Ω(1+cos(0.7854rad))
Next Step Prepare to Evaluate
Iavg=223.141625(1+cos(0.7854))
Next Step Evaluate
Iavg=0.478182289396328A
LAST Step Rounding Answer
Iavg=0.4782A

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

Variables
Constants
Functions
Average Output Current
Average Output Current is defined as measure of the flow of electric charge in a circuit over a specified time period.
Symbol: Iavg
Measurement: Electric CurrentUnit: A
Note: Value should be greater than 0.
Peak Input Voltage
Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.
Symbol: Vi(max)
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Resistance
Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
Symbol: R
Measurement: Electric ResistanceUnit: Ω
Note: Value should be greater than 0.
Trigger Angle in Degree
Trigger Angle in Degree it gives the firing angle of thyristor in degree.
Symbol: αd
Measurement: AngleUnit: °
Note: Value should be less than 181.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other formulas in Full Wave Controlled Rectifiers category

​Go RMS Voltage of Full Wave Thyristor Rectifier with R Load
Vrms(full)=((0.5sin(2αd))+π-αr)(Vo(max)22π)
​Go Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
Vavg(full)=2Vo(max)cos(αd)π
​Go RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
Vrms(full)=Vo(max)2
​Go RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD
Vrms(full)=Vi(max)12-αr2π+sin(2αd)4π

How to Evaluate 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 evaluator uses Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree)) to evaluate 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 Iavg symbol.

How to evaluate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD using this online evaluator? To use this online evaluator for Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD, enter Peak Input Voltage (Vi(max)), Resistance (R) & Trigger Angle in Degree d) and hit the calculate button.

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

What is the formula to find Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?
The formula of Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD is expressed as Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree)). Here is an example- 0.478182 = 22/(pi*25)*(1+cos(0.785398163397301)).
How to calculate Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?
With Peak Input Voltage (Vi(max)), Resistance (R) & Trigger Angle in Degree d) we can find Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD using the formula - Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree)). This formula also uses Archimedes' constant and Cosine (cos) function(s).
Can the Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD be negative?
No, the Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD, measured in Electric Current cannot be negative.
Which unit is used to measure 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 is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD can be measured.
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