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RMS Output Voltage for Continuous Load Current Formula

GoRMS Output Voltage for Resistive Load 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 in(3Φ-half)i \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot α d(3Φ-half))}{8 \cdot π})}^{0.5}

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

RMS Output Voltage for Continuous Load Current Example

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

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

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

103.1076 = \sqrt{3} \cdot 182 \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 75)}{8 \cdot 3.1416})}^{0.5}

103.1076V = \sqrt{3} \cdot 182V \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 75°)}{8 \cdot 3.1416})}^{0.5}

103.1076 = \sqrt{3} \cdot 182 \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 75)}{8 \cdot 3.1416})}^{0.5}

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RMS Output Voltage for Continuous Load Current Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V rms(3Φ-half) = \sqrt{3} \cdot 182V \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 75°)}{8 \cdot π})}^{0.5}

Next Step Substitute values of Constants

∴

V rms(3Φ-half) = \sqrt{3} \cdot 182V \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 75°)}{8 \cdot 3.1416})}^{0.5}

Next Step Convert Units

∴

V rms(3Φ-half) = \sqrt{3} \cdot 182V \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 1.309rad)}{8 \cdot 3.1416})}^{0.5}

Next Step Prepare to Evaluate

∴

V rms(3Φ-half) = \sqrt{3} \cdot 182 \cdot {((\frac{1}{6}) + \frac{\sqrt{3} \cdot \cos (2 \cdot 1.309)}{8 \cdot 3.1416})}^{0.5}

Next Step Evaluate

∴

V rms(3Φ-half) = 103.107568214723V

LAST Step Rounding Answer

∴

V rms(3Φ-half) = 103.1076V

RMS Output Voltage for Continuous Load Current 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 Input Voltage 3 Phase Half Converter

Peak Input Voltage 3 Phase Half Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a half converter circuit.

Symbol: V_{in(3Φ-half)i}

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Input Voltage 3 Phase Half Converter

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 Resistive Load

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})})

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 Continuous Load Current?

RMS Output Voltage for Continuous Load Current evaluator uses 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 to evaluate the RMS Output Voltage 3 Phase Half Converter, The RMS output voltage for continuous load current formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage 3 Phase Half Converter is denoted by V_{rms(3Φ-half)} symbol.

How to evaluate RMS Output Voltage for Continuous Load Current using this online evaluator? To use this online evaluator for RMS Output Voltage for Continuous Load Current, enter Peak Input Voltage 3 Phase Half Converter (V_{in(3Φ-half)i}) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) and hit the calculate button.

FAQs on RMS Output Voltage for Continuous Load Current

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

The formula of RMS Output Voltage for Continuous Load Current is expressed as 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. Here is an example- 103.1076 = sqrt(3)*182*((1/6)+(sqrt(3)*cos(2*1.3089969389955))/(8*pi))^0.5.

How to calculate RMS Output Voltage for Continuous Load Current?

With Peak Input Voltage 3 Phase Half Converter (V_{in(3Φ-half)i}) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) we can find RMS Output Voltage for Continuous Load Current using the formula - 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. 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 Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))))

Can the RMS Output Voltage for Continuous Load Current be negative?

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

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

RMS Output Voltage for Continuous Load Current 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 Continuous Load Current can be measured.

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