RMS 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 Radians is defined as the firing angle of a thyristor in radians.ⓘ Trigger Angle in Radians [α_r]			+10% -10%
✖Trigger Angle in Degree it gives the firing angle of thyristor in degree.ⓘ Trigger Angle in Degree [α_d]			+10% -10%

✖RMS Current is defined as the root mean square value of the current in a thyristor rectifier.ⓘ RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD [I_rms]

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Formula

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

Formula

`"I"_{"rms"} = "V"_{"i(max)"}/"R"*sqrt(1/2-"α"_{"r"}/(2*pi)+sin(2*"α"_{"d"})/(4*pi))`

Example

`"0.587618A"="22V"/"25Ω"*sqrt(1/2-"0.84rad"/(2*pi)+sin(2*"45°")/(4*pi))`

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

STEP 0: Pre-Calculation Summary

Formula Used

RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))
I_rms = V_i(max)/R*sqrt(1/2-α_r/(2*pi)+sin(2*α_d)/(4*pi))
This formula uses 1 Constants, 2 Functions, 5 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 Current - (Measured in Ampere) - RMS Current is defined as the root mean square value of the current in a thyristor rectifier.
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 Radians - (Measured in Radian) - Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.
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 Radians: 0.84 Radian --> 0.84 Radian 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_rms = V_i(max)/R*sqrt(1/2-α_r/(2*pi)+sin(2*α_d)/(4*pi)) --> 22/25*sqrt(1/2-0.84/(2*pi)+sin(2*0.785398163397301)/(4*pi))

Evaluating ... ...

I_rms = 0.587618192454655

STEP 3: Convert Result to Output's Unit

0.587618192454655 Ampere --> No Conversion Required

FINAL ANSWER

0.587618192454655 ≈ 0.587618 Ampere <-- RMS Current

(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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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)

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

RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))
I_rms = V_i(max)/R*sqrt(1/2-α_r/(2*pi)+sin(2*α_d)/(4*pi))

How is the freewheeling diode utilized in a full-wave controlled rectifier in R load?

In a full-wave controlled rectifier with an R (resistive) load, the freewheeling diode offers a low-resistance path for current during the non-conduction periods of the thyristors. This prevents voltage spikes and maintains a continuous flow of current, reducing output voltage ripple. By eliminating interruptions in current flow, it enhances load stability, minimizes harmonics, and increases the RMS output current.

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

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD calculator uses RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)) to calculate the RMS Current, The RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the root mean square value of the current that flows through the load. This current is obtained after rectification and smoothing, accounting for the effects of phase control on the input AC voltage. RMS Current is denoted by I_rms symbol.

How to calculate RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD using this online calculator? To use this online calculator for RMS 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 Radians (α_r) & Trigger Angle in Degree (α_d) and hit the calculate button. Here is how the RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD calculation can be explained with given input values -> 0.587618 = 22/25*sqrt(1/2-0.84/(2*pi)+sin(2*0.785398163397301)/(4*pi)).

FAQ

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

The RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the root mean square value of the current that flows through the load. This current is obtained after rectification and smoothing, accounting for the effects of phase control on the input AC voltage and is represented as I_rms = V_i(max)/R*sqrt(1/2-α_r/(2*pi)+sin(2*α_d)/(4*pi)) or RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)). 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 Radians is defined as the firing angle of a thyristor in radians & Trigger Angle in Degree it gives the firing angle of thyristor in degree.

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

The RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the root mean square value of the current that flows through the load. This current is obtained after rectification and smoothing, accounting for the effects of phase control on the input AC voltage is calculated using RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)). To calculate RMS 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 Radians (α_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 Radians & 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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