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RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula

GoRMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Formula

GoRMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula

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RMS Voltage in Full Wave is defined as the root mean square value of the voltage in a thyristor rectifier. Check FAQs

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

V_rms(full) - RMS Voltage in Full Wave?α_d - Trigger Angle in Degree?α_r - Trigger Angle in Radians?V_o(max) - Maximum Output Voltage?π - Archimedes' constant?

RMS Voltage of Full Wave Thyristor Rectifier with R Load Example

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Here is how the RMS Voltage of Full Wave Thyristor Rectifier with R Load equation looks like with Values.

Here is how the RMS Voltage of Full Wave Thyristor Rectifier with R Load equation looks like with Units.

Here is how the RMS Voltage of Full Wave Thyristor Rectifier with R Load equation looks like.

14.0227 = \sqrt{((0.5 \cdot \sin (2 \cdot 45)) + 3.1416 - 0.84) \cdot (\frac{21^{2}}{2 \cdot 3.1416})}

14.0227V = \sqrt{((0.5 \cdot \sin (2 \cdot 45°)) + 3.1416 - 0.84rad) \cdot (\frac{{21V}^{2}}{2 \cdot 3.1416})}

14.0227 = \sqrt{((0.5 \cdot \sin (2 \cdot 45)) + 3.1416 - 0.84) \cdot (\frac{21^{2}}{2 \cdot 3.1416})}

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RMS Voltage of Full Wave Thyristor Rectifier with R Load Solution

Follow our step by step solution on how to calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V rms(full) = \sqrt{((0.5 \cdot \sin (2 \cdot 45°)) + π - 0.84rad) \cdot (\frac{{21V}^{2}}{2 \cdot π})}

Next Step Substitute values of Constants

∴

V rms(full) = \sqrt{((0.5 \cdot \sin (2 \cdot 45°)) + 3.1416 - 0.84rad) \cdot (\frac{{21V}^{2}}{2 \cdot 3.1416})}

Next Step Convert Units

∴

V rms(full) = \sqrt{((0.5 \cdot \sin (2 \cdot 0.7854rad)) + 3.1416 - 0.84rad) \cdot (\frac{{21V}^{2}}{2 \cdot 3.1416})}

Next Step Prepare to Evaluate

∴

V rms(full) = \sqrt{((0.5 \cdot \sin (2 \cdot 0.7854)) + 3.1416 - 0.84) \cdot (\frac{21^{2}}{2 \cdot 3.1416})}

Next Step Evaluate

∴

V rms(full) = 14.0227068653952V

LAST Step Rounding Answer

∴

V rms(full) = 14.0227V

RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula Elements

Variables

Constants

Functions

RMS Voltage in Full Wave

RMS Voltage in Full Wave is defined as the root mean square value of the voltage in a thyristor rectifier.

Symbol: V_rms(full)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find RMS Voltage in Full Wave

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

Trigger Angle in Radians

Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.

Symbol: α_r

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Trigger Angle in Radians

Maximum Output Voltage

Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.

Symbol: V_o(max)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Maximum Output Voltage

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

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.

Syntax: 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.

Syntax: sqrt(Number)

Other Formulas to find RMS Voltage in Full Wave

Go RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

V rms(full) = \frac{V o(max)}{\sqrt{2}}

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

V rms(full) = V i(max) \cdot \sqrt{\frac{1}{2} - \frac{α r}{2 \cdot π} + \frac{\sin (2 \cdot α d)}{4 \cdot π}}

Other formulas in Full Wave Controlled Rectifiers category

Go Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

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

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

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

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

I rms = \frac{V i(max)}{R} \cdot \sqrt{\frac{1}{2} - \frac{α r}{2 \cdot π} + \frac{\sin (2 \cdot α d)}{4 \cdot π}}

Go Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD

V dc(full) = \frac{V i(max)}{π} \cdot (1 + \cos (α d))

How to Evaluate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

RMS Voltage of Full Wave Thyristor Rectifier with R Load evaluator uses 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))) to evaluate the RMS Voltage in Full Wave, The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian. RMS Voltage in Full Wave is denoted by V_rms(full) symbol.

How to evaluate RMS Voltage of Full Wave Thyristor Rectifier with R Load using this online evaluator? To use this online evaluator for RMS Voltage of Full Wave Thyristor Rectifier with R Load, enter Trigger Angle in Degree (α_d), Trigger Angle in Radians (α_r) & Maximum Output Voltage (V_o(max)) and hit the calculate button.

FAQs on RMS Voltage of Full Wave Thyristor Rectifier with R Load

What is the formula to find RMS Voltage of Full Wave Thyristor Rectifier with R Load?

The formula of RMS Voltage of Full Wave Thyristor Rectifier with R Load is expressed as 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))). Here is an example- 14.02271 = sqrt(((0.5*sin(2*0.785398163397301))+pi-0.84)*((21^2)/(2*pi))).

How to calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

With Trigger Angle in Degree (α_d), Trigger Angle in Radians (α_r) & Maximum Output Voltage (V_o(max)) we can find RMS Voltage of Full Wave Thyristor Rectifier with R Load using the formula - 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))). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

What are the other ways to Calculate RMS Voltage in Full Wave?

Here are the different ways to Calculate RMS Voltage in Full Wave-

RMS Voltage in Full Wave=Maximum Output Voltage/sqrt(2)
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))

Can the RMS Voltage of Full Wave Thyristor Rectifier with R Load be negative?

No, the RMS Voltage of Full Wave Thyristor Rectifier with R Load, measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage of Full Wave Thyristor Rectifier with R Load?

RMS Voltage of Full Wave Thyristor 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 RMS Voltage of Full Wave Thyristor Rectifier with R Load can be measured.

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RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula

​GoRMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Formula

​GoRMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula

RMS Voltage of Full Wave Thyristor Rectifier with R Load Example

RMS Voltage of Full Wave Thyristor Rectifier with R Load Solution

RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula Elements

Other Formulas to find RMS Voltage in Full Wave

Other formulas in Full Wave Controlled Rectifiers category

How to Evaluate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

FAQs on RMS Voltage of Full Wave Thyristor Rectifier with R Load

Variable Name

GoRMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Formula

GoRMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula