Turn On Angle of Half Wave Rectifier Calculator

✖Load emf is the emf at the load of a rectifier based circuit.ⓘ Load EMF [E_L]			+10% -10%
✖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%

✖Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting.ⓘ Turn On Angle of Half Wave Rectifier [θ_r]

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Formula

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Turn On Angle of Half Wave Rectifier

Formula

`"θ"_{"r"} = asin("E"_{"L"}/"V"_{"i(max)"})`

Example

`"1.268131rad"=asin("21V"/"22V")`

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Turn On Angle of Half Wave Rectifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage)
θ_r = asin(E_L/V_i(max))
This formula uses 2 Functions, 3 Variables

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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
Load EMF - (Measured in Volt) - Load emf is the emf at the load of a rectifier based circuit.
Peak Input Voltage - (Measured in Volt) - Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.

STEP 1: Convert Input(s) to Base Unit

Load EMF: 21 Volt --> 21 Volt No Conversion Required
Peak Input Voltage: 22 Volt --> 22 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_r = asin(E_L/V_i(max)) --> asin(21/22)

Evaluating ... ...

θ_r = 1.26813105284047

STEP 3: Convert Result to Output's Unit

1.26813105284047 Radian --> No Conversion Required

FINAL ANSWER

1.26813105284047 ≈ 1.268131 Radian <-- Diode Turn On Angle Radians

(Calculation completed in 00.004 seconds)

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Chandigarh University (CU), Punjab

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< 7 Half Wave Controlled Rectifiers Calculators

Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load

Go Average Load Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)+cos(Extinction Angle))+(Back EMF/2)*(1+((Diode Turn On Angle Radians+Trigger Angle in Radians)/pi))

RMS Output Voltage of Half Wave Thyristor Rectifier with R Load

Go RMS Voltage in Half Wave = (Maximum Output Voltage*sqrt(pi-Trigger Angle in Radians+(0.5*sin(2*Trigger Angle in Degree))))/(2*sqrt(pi))

Form Factor of Half Wave Thyristor Rectifier with R Load

Go Form Factor = ((1/pi*((pi-Trigger Angle in Radians)+sin(2*Trigger Angle in Degree)/2))^(1/2))/(1/pi*(1+cos(Trigger Angle in Degree)))

Average Voltage of Half Wave Thyristor Rectifier with RL Load

Go Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle))

Average Output Voltage of Half Wave Controlled Rectifier with R Load

Go Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))

Turn On Angle of Half Wave Rectifier

Go Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage)

Voltage Ripple Factor of Half Wave Thyristor Rectifier with R Load

Go Ripple Factor = sqrt(Form Factor^2-1)

Turn On Angle of Half Wave Rectifier Formula

Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage)
θ_r = asin(E_L/V_i(max))

Explain Factors affecting turn on angle?

The turn on angle of diode in a rectifier depends on the emf source at the load side of the rectifier and the peak input voltage.

How to Calculate Turn On Angle of Half Wave Rectifier?

Turn On Angle of Half Wave Rectifier calculator uses Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage) to calculate the Diode Turn On Angle Radians, The Turn on Angle of Half Wave Rectifier formula is defined as the angle (in radians) beyond which the diode starts conducting. Diode Turn On Angle Radians is denoted by θ_r symbol.

How to calculate Turn On Angle of Half Wave Rectifier using this online calculator? To use this online calculator for Turn On Angle of Half Wave Rectifier, enter Load EMF (E_L) & Peak Input Voltage (V_i(max)) and hit the calculate button. Here is how the Turn On Angle of Half Wave Rectifier calculation can be explained with given input values -> 1.268131 = asin(21/22).

FAQ

What is Turn On Angle of Half Wave Rectifier?

The Turn on Angle of Half Wave Rectifier formula is defined as the angle (in radians) beyond which the diode starts conducting and is represented as θ_r = asin(E_L/V_i(max)) or Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage). Load emf is the emf at the load of a rectifier based circuit & Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.

How to calculate Turn On Angle of Half Wave Rectifier?

The Turn on Angle of Half Wave Rectifier formula is defined as the angle (in radians) beyond which the diode starts conducting is calculated using Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage). To calculate Turn On Angle of Half Wave Rectifier, you need Load EMF (E_L) & Peak Input Voltage (V_i(max)). With our tool, you need to enter the respective value for Load EMF & Peak Input Voltage 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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