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DC Output Voltage for First Converter Formula

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DC Output Voltage FIrst Converter is defined as the dc output at the first of two converters. Check FAQs

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

V_out(first) - DC Output Voltage First Converter?V_in(dual) - Peak Input Voltage Dual Converter?α_1(dual) - Delay Angle of First Converter?π - Archimedes' constant?

DC Output Voltage for First Converter Example

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Here is how the DC Output Voltage for First Converter equation looks like with Values.

Here is how the DC Output Voltage for First Converter equation looks like with Units.

Here is how the DC Output Voltage for First Converter equation looks like.

73.7829 = \frac{2 \cdot 125 \cdot (\cos (22))}{3.1416}

73.7829V = \frac{2 \cdot 125V \cdot (\cos (22°))}{3.1416}

73.7829 = \frac{2 \cdot 125 \cdot (\cos (22))}{3.1416}

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DC Output Voltage for First Converter Solution

Follow our step by step solution on how to calculate DC Output Voltage for First Converter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V out(first) = \frac{2 \cdot 125V \cdot (\cos (22°))}{π}

Next Step Substitute values of Constants

∴

V out(first) = \frac{2 \cdot 125V \cdot (\cos (22°))}{3.1416}

Next Step Convert Units

∴

V out(first) = \frac{2 \cdot 125V \cdot (\cos (0.384rad))}{3.1416}

Next Step Prepare to Evaluate

∴

V out(first) = \frac{2 \cdot 125 \cdot (\cos (0.384))}{3.1416}

Next Step Evaluate

∴

V out(first) = 73.7829468046528V

LAST Step Rounding Answer

∴

V out(first) = 73.7829V

DC Output Voltage for First Converter Formula Elements

Variables

Constants

Functions

DC Output Voltage First Converter

DC Output Voltage FIrst Converter is defined as the dc output at the first of two converters.

Symbol: V_out(first)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find DC Output Voltage First Converter

Peak Input Voltage Dual Converter

Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit.

Symbol: V_in(dual)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage Dual Converter

Delay Angle of First Converter

Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.

Symbol: α_1(dual)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of First 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)

Other formulas in Single Phase Dual Converters category

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}}

Go Average Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

V avg(semi) = (\frac{V m(semi)}{π}) \cdot (1 + \cos (α (semi)))

How to Evaluate DC Output Voltage for First Converter?

DC Output Voltage for First Converter evaluator uses DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi to evaluate the DC Output Voltage First Converter, The DC output voltage for first converter is the average DC output voltage of the first converter in a single phase dual converter. It is directly proportional to the peak input voltage. DC Output Voltage First Converter is denoted by V_out(first) symbol.

How to evaluate DC Output Voltage for First Converter using this online evaluator? To use this online evaluator for DC Output Voltage for First Converter, enter Peak Input Voltage Dual Converter (V_in(dual)) & Delay Angle of First Converter (α_1(dual)) and hit the calculate button.

FAQs on DC Output Voltage for First Converter

What is the formula to find DC Output Voltage for First Converter?

The formula of DC Output Voltage for First Converter is expressed as DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi. Here is an example- 73.78295 = (2*125*(cos(0.38397243543868)))/pi.

How to calculate DC Output Voltage for First Converter?

With Peak Input Voltage Dual Converter (V_in(dual)) & Delay Angle of First Converter (α_1(dual)) we can find DC Output Voltage for First Converter using the formula - DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi. This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the DC Output Voltage for First Converter be negative?

Yes, the DC Output Voltage for First Converter, measured in Electric Potential can be negative.

Which unit is used to measure DC Output Voltage for First Converter?

DC Output Voltage for First Converter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which DC Output Voltage for First Converter can be measured.

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