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Average Output Voltage of Half Wave Controlled Rectifier with R Load Formula

GoAverage Voltage of Half Wave Thyristor Rectifier with RL Load Formula

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Average Output Voltage in Half Wave gives the average value of output voltage. Check FAQs

V avg(half) = \frac{V i(max)}{2 \cdot π} \cdot (1 + \cos (α d))

V_avg(half) - Average Output Voltage in Half Wave?V_i(max) - Peak Input Voltage?α_d - Trigger Angle in Degree?π - Archimedes' constant?

Average Output Voltage of Half Wave Controlled Rectifier with R Load Example

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Here is how the Average Output Voltage of Half Wave Controlled Rectifier with R Load equation looks like with Values.

Here is how the Average Output Voltage of Half Wave Controlled Rectifier with R Load equation looks like with Units.

Here is how the Average Output Voltage of Half Wave Controlled Rectifier with R Load equation looks like.

5.9773 = \frac{22}{2 \cdot 3.1416} \cdot (1 + \cos (45))

5.9773V = \frac{22V}{2 \cdot 3.1416} \cdot (1 + \cos (45°))

5.9773 = \frac{22}{2 \cdot 3.1416} \cdot (1 + \cos (45))

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Average Output Voltage of Half Wave Controlled Rectifier with R Load Solution

Follow our step by step solution on how to calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load?

FIRST Step Consider the formula

V avg(half) = \frac{V i(max)}{2 \cdot π} \cdot (1 + \cos (α d))

Next Step Substitute values of Variables

∴

V avg(half) = \frac{22V}{2 \cdot π} \cdot (1 + \cos (45°))

Next Step Substitute values of Constants

∴

V avg(half) = \frac{22V}{2 \cdot 3.1416} \cdot (1 + \cos (45°))

Next Step Convert Units

∴

V avg(half) = \frac{22V}{2 \cdot 3.1416} \cdot (1 + \cos (0.7854rad))

Next Step Prepare to Evaluate

∴

V avg(half) = \frac{22}{2 \cdot 3.1416} \cdot (1 + \cos (0.7854))

Next Step Evaluate

∴

V avg(half) = 5.9772786174541V

LAST Step Rounding Answer

∴

V avg(half) = 5.9773V

Average Output Voltage of Half Wave Controlled Rectifier with R Load Formula Elements

Variables

Constants

Functions

Average Output Voltage in Half Wave

Average Output Voltage in Half Wave gives the average value of output voltage.

Symbol: V_avg(half)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Average Output Voltage in Half Wave

Peak Input Voltage

Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.

Symbol: V_i(max)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage

Trigger Angle in Degree

Trigger Angle in Degree it gives the firing angle of thyristor in degree.

Symbol: α_d

Measurement: AngleUnit: °

Note: Value should be less than 181.

Formulas to find Trigger Angle in Degree

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 to find Average Output Voltage in Half Wave

Go Average Voltage of Half Wave Thyristor Rectifier with RL Load

V avg(half) = (\frac{V o(max)}{2 \cdot π}) \cdot (\cos (α d) - \cos (β d))

Other formulas in Half Wave Controlled Rectifiers category

Go RMS Output Voltage of Half Wave Thyristor Rectifier with R Load

V rms(half) = \frac{V o(max) \cdot \sqrt{π - α r + (0.5 \cdot \sin (2 \cdot α d))}}{2 \cdot \sqrt{π}}

Go Voltage Ripple Factor of Half Wave Thyristor Rectifier with R Load

RF = \sqrt{{FF}^{2} - 1}

Go Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load

V L(half) = (\frac{V o(max)}{2 \cdot π}) \cdot (\cos (α d) + \cos (β d)) + (\frac{E b}{2}) \cdot (1 + (\frac{θ r + α r}{π}))

Go Turn On Angle of Half Wave Rectifier

θ r = a \sin (\frac{E L}{V i(max)})

How to Evaluate Average Output Voltage of Half Wave Controlled Rectifier with R Load?

Average Output Voltage of Half Wave Controlled Rectifier with R Load evaluator uses Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)) to evaluate the Average Output Voltage in Half Wave, The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage . Average Output Voltage in Half Wave is denoted by V_avg(half) symbol.

How to evaluate Average Output Voltage of Half Wave Controlled Rectifier with R Load using this online evaluator? To use this online evaluator for Average Output Voltage of Half Wave Controlled Rectifier with R Load, enter Peak Input Voltage (V_i(max)) & Trigger Angle in Degree (α_d) and hit the calculate button.

FAQs on Average Output Voltage of Half Wave Controlled Rectifier with R Load

What is the formula to find Average Output Voltage of Half Wave Controlled Rectifier with R Load?

The formula of Average Output Voltage of Half Wave Controlled Rectifier with R Load is expressed as Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)). Here is an example- 5.977279 = 22/(2*pi)*(1+cos(0.785398163397301)).

How to calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load?

With Peak Input Voltage (V_i(max)) & Trigger Angle in Degree (α_d) we can find Average Output Voltage of Half Wave Controlled Rectifier with R Load using the formula - Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)). This formula also uses Archimedes' constant and Cosine function(s).

What are the other ways to Calculate Average Output Voltage in Half Wave?

Here are the different ways to Calculate Average Output Voltage in Half Wave-

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

Can the Average Output Voltage of Half Wave Controlled Rectifier with R Load be negative?

No, the Average Output Voltage of Half Wave Controlled Rectifier with R Load, measured in Electric Potential cannot be negative.

Which unit is used to measure Average Output Voltage of Half Wave Controlled Rectifier with R Load?

Average Output Voltage of Half Wave Controlled Rectifier with R Load is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Average Output Voltage of Half Wave Controlled Rectifier with R Load can be measured.

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