RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load Calculator

✖Source Voltage is defined as the voltage or potential difference of the source which is supplying voltage to the rectifier.ⓘ Source Voltage [V_s]			+10% -10%
✖Load EMF is the emf at the load of a rectifier based circuit.ⓘ Load EMF [E_L]			+10% -10%
✖Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting.ⓘ Diode Turn On Angle Radians [θ_r]			+10% -10%
✖Diode turn on angle degrees is the angle beyond which the diode of a rectifier with emf at the load starts conducting.ⓘ Diode Turn On Angle Degrees [θ_d]			+10% -10%
✖Peak Input Voltage SP is the peak of the alternating voltage provided at the input of any electrical circuit.ⓘ Peak Input Voltage SP [V_(max)]			+10% -10%
✖Resistance SP is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance SP [r]			+10% -10%

✖RMS Load Current SP is the root mean square value of the average output voltage of the converter.ⓘ RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load [I_Lrms]

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Formula

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RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load

Formula

`"I"_{"Lrms"} = sqrt((("V"_{"s"}^2+"E"_{"L"}^2)*(pi-(2*"θ"_{"r"}))+"V"_{"s"}^2*sin(2*"θ"_{"d"})-4*"V"_{"(max)"}*"E"_{"L"}*cos("θ"_{"d"}))/(2*pi*"r"^2))`

Example

`"6.623671A"=sqrt(((("440V")^2+("333V")^2)*(pi-(2*"0.01rad"))+("440V")^2*sin(2*"84.26°")-4*"221V"*"333V"*cos("84.26°"))/(2*pi*("59Ω")^2))`

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RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Load Current SP = sqrt(((Source Voltage^2+Load EMF^2)*(pi-(2*Diode Turn On Angle Radians))+Source Voltage^2*sin(2*Diode Turn On Angle Degrees)-4*Peak Input Voltage SP*Load EMF*cos(Diode Turn On Angle Degrees))/(2*pi*Resistance SP^2))
I_Lrms = sqrt(((V_s^2+E_L^2)*(pi-(2*θ_r))+V_s^2*sin(2*θ_d)-4*V_(max)*E_L*cos(θ_d))/(2*pi*r^2))
This formula uses 1 Constants, 3 Functions, 7 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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 Load Current SP - (Measured in Ampere) - RMS Load Current SP is the root mean square value of the average output voltage of the converter.
Source Voltage - (Measured in Volt) - Source Voltage is defined as the voltage or potential difference of the source which is supplying voltage to the rectifier.
Load EMF - (Measured in Volt) - Load EMF is the emf at the load of a rectifier based circuit.
Diode Turn On Angle Radians - (Measured in Radian) - Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting.
Diode Turn On Angle Degrees - (Measured in Radian) - Diode turn on angle degrees is the angle beyond which the diode of a rectifier with emf at the load starts conducting.
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.
Resistance SP - (Measured in Ohm) - Resistance SP is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Source Voltage: 440 Volt --> 440 Volt No Conversion Required
Load EMF: 333 Volt --> 333 Volt No Conversion Required
Diode Turn On Angle Radians: 0.01 Radian --> 0.01 Radian No Conversion Required
Diode Turn On Angle Degrees: 84.26 Degree --> 1.47061442773015 Radian (Check conversion here)
Peak Input Voltage SP: 221 Volt --> 221 Volt No Conversion Required
Resistance SP: 59 Ohm --> 59 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_Lrms = sqrt(((V_s^2+E_L^2)*(pi-(2*θ_r))+V_s^2*sin(2*θ_d)-4*V_(max)*E_L*cos(θ_d))/(2*pi*r^2)) --> sqrt(((440^2+333^2)*(pi-(2*0.01))+440^2*sin(2*1.47061442773015)-4*221*333*cos(1.47061442773015))/(2*pi*59^2))

Evaluating ... ...

I_Lrms = 6.62367144623848

STEP 3: Convert Result to Output's Unit

6.62367144623848 Ampere --> No Conversion Required

FINAL ANSWER

6.62367144623848 ≈ 6.623671 Ampere <-- RMS Load Current SP

(Calculation completed in 00.022 seconds)

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Home » Engineering » Electrical » Power Electronics » Uncontrolled Rectifiers » Single Phase Uncontrolled Rectifiers » Half Wave » RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load

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RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load

Go RMS Load Current SP = sqrt(((Source Voltage^2+Load EMF^2)*(pi-(2*Diode Turn On Angle Radians))+Source Voltage^2*sin(2*Diode Turn On Angle Degrees)-4*Peak Input Voltage SP*Load EMF*cos(Diode Turn On Angle Degrees))/(2*pi*Resistance SP^2))

Average Output Current of Single Phase Half Wave Diode Rectifier with Resistive and Inductive Load

Go Average Output Current Half = (Peak Input Voltage SP/(2*pi*Resistance SP))/(1-cos(Diode Extinction Angle))

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

Go Average Output Voltage Half = (Peak Input Voltage SP/(2*pi))*(1-cos(Diode Extinction Angle))

Average Load Current of Single Phase Half Wave Diode Rectifier with Inductive Load

Go Average Load Current SP = Peak Input Voltage SP/(Angular Frequency*Inductance)

Peak Load Current in Single Phase Half Wave Diode Rectifier with Inductive Load

Go Peak Load Current = (2*Peak Input Voltage SP)/(Angular Frequency*Inductance)

Average Output Current of Single Phase Half Wave Diode Rectifier with RL Load and Freewheeling Diode

Go Average Output Current Half = Peak Input Voltage SP/(pi*Resistance SP)

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)

Output DC Power of Single-Phase Half Wave Diode Rectifier with R Load

Go DC Power Output SP = (Peak Input Voltage SP*Peak Load Current)/pi^2

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 RL Load and Freewheeling Diode

Go Average Output Voltage Half = Peak Input Voltage SP/pi

Average Output Voltage of Single Phase Half Wave Diode Rectifier with Resistive Load

Go Average Output Voltage Half = Peak Input Voltage SP/pi

Ripple Voltage of Single-Phase Half Wave Diode Rectifier with R Load

Go Ripple Voltage Half = 0.3856*Peak Input Voltage SP

RMS Output Voltage of Single Phase Half Wave Diode Rectifier with Resistive Load

Go RMS Output Voltage Half = Peak Input Voltage SP/2

RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load Formula

What are Root Mean Square values?

As the name suggests, RMS values are square of parameters added together to find its mean and then taking its square root. It is used to compare ac quantities with dc quantities. It is basically the amount of heat dissipated across the electrical equipment.

How to Calculate RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load?

RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load calculator uses RMS Load Current SP = sqrt(((Source Voltage^2+Load EMF^2)*(pi-(2*Diode Turn On Angle Radians))+Source Voltage^2*sin(2*Diode Turn On Angle Degrees)-4*Peak Input Voltage SP*Load EMF*cos(Diode Turn On Angle Degrees))/(2*pi*Resistance SP^2)) to calculate the RMS Load Current SP, The RMS load current of single phase half wave diode rectifier with RE load formula is defined as the RMS value of the output current over a complete input cycle when the load is RE in nature. RMS Load Current SP is denoted by I_Lrms symbol.

How to calculate RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load using this online calculator? To use this online calculator for RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load, enter Source Voltage (V_s), Load EMF (E_L), Diode Turn On Angle Radians (θ_r), Diode Turn On Angle Degrees (θ_d), Peak Input Voltage SP (V_(max)) & Resistance SP (r) and hit the calculate button. Here is how the RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load calculation can be explained with given input values -> 6.623671 = sqrt(((440^2+333^2)*(pi-(2*0.01))+440^2*sin(2*1.47061442773015)-4*221*333*cos(1.47061442773015))/(2*pi*59^2)).

FAQ

What is RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load?

The RMS load current of single phase half wave diode rectifier with RE load formula is defined as the RMS value of the output current over a complete input cycle when the load is RE in nature and is represented as I_Lrms = sqrt(((V_s^2+E_L^2)*(pi-(2*θ_r))+V_s^2*sin(2*θ_d)-4*V_(max)*E_L*cos(θ_d))/(2*pi*r^2)) or RMS Load Current SP = sqrt(((Source Voltage^2+Load EMF^2)*(pi-(2*Diode Turn On Angle Radians))+Source Voltage^2*sin(2*Diode Turn On Angle Degrees)-4*Peak Input Voltage SP*Load EMF*cos(Diode Turn On Angle Degrees))/(2*pi*Resistance SP^2)). Source Voltage is defined as the voltage or potential difference of the source which is supplying voltage to the rectifier, Load EMF is the emf at the load of a rectifier based circuit, Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting, Diode turn on angle degrees is the angle beyond which the diode of a rectifier with emf at the load starts conducting, Peak Input Voltage SP is the peak of the alternating voltage provided at the input of any electrical circuit & Resistance SP is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

How to calculate RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load?

The RMS load current of single phase half wave diode rectifier with RE load formula is defined as the RMS value of the output current over a complete input cycle when the load is RE in nature is calculated using RMS Load Current SP = sqrt(((Source Voltage^2+Load EMF^2)*(pi-(2*Diode Turn On Angle Radians))+Source Voltage^2*sin(2*Diode Turn On Angle Degrees)-4*Peak Input Voltage SP*Load EMF*cos(Diode Turn On Angle Degrees))/(2*pi*Resistance SP^2)). To calculate RMS Load Current of Single Phase Half Wave Diode Rectifier with RE Load, you need Source Voltage (V_s), Load EMF (E_L), Diode Turn On Angle Radians (θ_r), Diode Turn On Angle Degrees (θ_d), Peak Input Voltage SP (V_(max)) & Resistance SP (r). With our tool, you need to enter the respective value for Source Voltage, Load EMF, Diode Turn On Angle Radians, Diode Turn On Angle Degrees, Peak Input Voltage SP & Resistance SP 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 RMS Load Current SP?

In this formula, RMS Load Current SP uses Source Voltage, Load EMF, Diode Turn On Angle Radians, Diode Turn On Angle Degrees, Peak Input Voltage SP & Resistance SP. We can use 1 other way(s) to calculate the same, which is/are as follows -

RMS Load Current SP = Peak Input Voltage SP/(2*Resistance SP)

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