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RMS Output Voltage for Resistive Load Formula

GoRMS Output Voltage for Continuous Load Current Formula

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RMS Output Voltage 3 Phase Half Converter is defined as the root mean square value of the voltage at output terminal of a half converter circuit. Check FAQs

V rms(3Φ-half) = \sqrt{3} \cdot V m(3Φ-half) \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot α d(3Φ-half))}{8 \cdot π})})

V_{rms(3Φ-half)} - RMS Output Voltage 3 Phase Half Converter?V_m(3Φ-half) - Peak Phase Voltage?α_d(3Φ-half) - Delay Angle of 3 Phase Half Converter?π - Archimedes' constant?

RMS Output Voltage for Resistive Load Example

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Here is how the RMS Output Voltage for Resistive Load equation looks like with Values.

Here is how the RMS Output Voltage for Resistive Load equation looks like with Units.

Here is how the RMS Output Voltage for Resistive Load equation looks like.

125.7686 = \sqrt{3} \cdot 222 \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 75)}{8 \cdot 3.1416})})

125.7686V = \sqrt{3} \cdot 222V \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 75°)}{8 \cdot 3.1416})})

125.7686 = \sqrt{3} \cdot 222 \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 75)}{8 \cdot 3.1416})})

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RMS Output Voltage for Resistive Load Solution

Follow our step by step solution on how to calculate RMS Output Voltage for Resistive Load?

FIRST Step Consider the formula

V rms(3Φ-half) = \sqrt{3} \cdot V m(3Φ-half) \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot α d(3Φ-half))}{8 \cdot π})})

Next Step Substitute values of Variables

∴

V rms(3Φ-half) = \sqrt{3} \cdot 222V \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 75°)}{8 \cdot π})})

Next Step Substitute values of Constants

∴

V rms(3Φ-half) = \sqrt{3} \cdot 222V \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 75°)}{8 \cdot 3.1416})})

Next Step Convert Units

∴

V rms(3Φ-half) = \sqrt{3} \cdot 222V \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 1.309rad)}{8 \cdot 3.1416})})

Next Step Prepare to Evaluate

∴

V rms(3Φ-half) = \sqrt{3} \cdot 222 \cdot (\sqrt{(\frac{1}{6}) + (\frac{\sqrt{3} \cdot \cos (2 \cdot 1.309)}{8 \cdot 3.1416})})

Next Step Evaluate

∴

V rms(3Φ-half) = 125.768572217959V

LAST Step Rounding Answer

∴

V rms(3Φ-half) = 125.7686V

RMS Output Voltage for Resistive Load Formula Elements

Variables

Constants

Functions

RMS Output Voltage 3 Phase Half Converter

RMS Output Voltage 3 Phase Half Converter is defined as the root mean square value of the voltage at output terminal of a half converter circuit.

Symbol: V_{rms(3Φ-half)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find RMS Output Voltage 3 Phase Half Converter

Peak Phase Voltage

Peak phase voltage refers to the maximum instantaneous voltage of each phase of the AC supply.

Symbol: V_m(3Φ-half)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Phase Voltage

Delay Angle of 3 Phase Half Converter

Delay Angle of 3 Phase Half Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.

Symbol: α_d(3Φ-half)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of 3 Phase Half Converter

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)

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 Output Voltage 3 Phase Half Converter

Go RMS Output Voltage for Continuous Load Current

V rms(3Φ-half) = \sqrt{3} \cdot V in(3Φ-half)i \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot α d(3Φ-half))}{8 \cdot π})}^{0.5}

Other formulas in Three Phase Half Wave Converters category

Go DC Output Voltage for First Converter

V out(first) = \frac{2 \cdot V in(dual) \cdot (\cos (α 1(dual)))}{π}

Go DC Output Voltage of Second Converter

V out(second) = \frac{2 \cdot V in(dual) \cdot (\cos (α 2(dual)))}{π}

Go Average DC Output Voltage of Single Phase Full Converter

V avg-dc(full) = \frac{2 \cdot V m-dc(full) \cdot \cos (α full)}{π}

Go RMS Output Voltage of Single Phase Full Converter

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

How to Evaluate RMS Output Voltage for Resistive Load?

RMS Output Voltage for Resistive Load evaluator uses RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi)))) to evaluate the RMS Output Voltage 3 Phase Half Converter, The RMS output voltage for resistive load formula is the root mean square value of the average output voltage of the converter. Here, one condition that is being considered is that the delay angle is greater than 30 degrees. RMS Output Voltage 3 Phase Half Converter is denoted by V_{rms(3Φ-half)} symbol.

How to evaluate RMS Output Voltage for Resistive Load using this online evaluator? To use this online evaluator for RMS Output Voltage for Resistive Load, enter Peak Phase Voltage (V_m(3Φ-half)) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) and hit the calculate button.

FAQs on RMS Output Voltage for Resistive Load

What is the formula to find RMS Output Voltage for Resistive Load?

The formula of RMS Output Voltage for Resistive Load is expressed as RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi)))). Here is an example- 125.202 = sqrt(3)*222*(sqrt((1/6)+((sqrt(3)*cos(2*1.3089969389955))/(8*pi)))).

How to calculate RMS Output Voltage for Resistive Load?

With Peak Phase Voltage (V_m(3Φ-half)) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) we can find RMS Output Voltage for Resistive Load using the formula - RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi)))). This formula also uses Archimedes' constant and , Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate RMS Output Voltage 3 Phase Half Converter?

Here are the different ways to Calculate RMS Output Voltage 3 Phase Half Converter-

RMS Output Voltage 3 Phase Half Converter=sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5

Can the RMS Output Voltage for Resistive Load be negative?

No, the RMS Output Voltage for Resistive Load, measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Output Voltage for Resistive Load?

RMS Output Voltage for Resistive 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 Output Voltage for Resistive Load can be measured.

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