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Maximum Power using Constant(DC 3-Wire) Formula

GoMaximum Power using Load Current(DC 3-Wire) Formula

GoMaximum Voltage using Line Losses(DC 3-Wire) Formula

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Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire. Check FAQs

V m = \sqrt{\frac{(P^{2}) \cdot ρ \cdot (L^{2})}{K \cdot P loss}}

V_m - Maximum Voltage Overhead DC?P - Power Transmitted?ρ - Resistivity?L - Length of Wire DC?K - Constant Overhead DC?P_loss - Line Losses?

Maximum Power using Constant(DC 3-Wire) Example

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Here is how the Maximum Power using Constant(DC 3-Wire) equation looks like with Values.

Here is how the Maximum Power using Constant(DC 3-Wire) equation looks like with Units.

Here is how the Maximum Power using Constant(DC 3-Wire) equation looks like.

21.1666 = \sqrt{\frac{(920^{2}) \cdot 1.7E-5 \cdot ({12.7}^{2})}{7 \cdot 0.74}}

21.1666V = \sqrt{\frac{({920W}^{2}) \cdot 1.7E-5Ω*m \cdot ({12.7m}^{2})}{7 \cdot 0.74W}}

21.1666 = \sqrt{\frac{(920^{2}) \cdot 1.7E-5 \cdot ({12.7}^{2})}{7 \cdot 0.74}}

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Maximum Power using Constant(DC 3-Wire) Solution

Follow our step by step solution on how to calculate Maximum Power using Constant(DC 3-Wire)?

FIRST Step Consider the formula

V m = \sqrt{\frac{(P^{2}) \cdot ρ \cdot (L^{2})}{K \cdot P loss}}

Next Step Substitute values of Variables

∴

V m = \sqrt{\frac{({920W}^{2}) \cdot 1.7E-5Ω*m \cdot ({12.7m}^{2})}{7 \cdot 0.74W}}

Next Step Prepare to Evaluate

∴

V m = \sqrt{\frac{(920^{2}) \cdot 1.7E-5 \cdot ({12.7}^{2})}{7 \cdot 0.74}}

Next Step Evaluate

∴

V m = 21.1666012869003V

LAST Step Rounding Answer

∴

V m = 21.1666V

Maximum Power using Constant(DC 3-Wire) Formula Elements

Variables

Functions

Maximum Voltage Overhead DC

Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage Overhead DC

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Length of Wire DC

Length of Wire DC is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Wire DC

Constant Overhead DC

Constant Overhead DC is defined as the constant of line of a Overhead supply system.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant Overhead DC

Line Losses

Line Losses is defined as the total losses occurring in an Overhead DC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

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 Maximum Voltage Overhead DC

Go Maximum Power using Load Current(DC 3-Wire)

V m = \frac{P}{2 \cdot I}

Go Maximum Voltage using Line Losses(DC 3-Wire)

V m = P \cdot \sqrt{ρ \cdot \frac{L}{P loss \cdot 2 \cdot A}}

Go Maximum Voltage using Volume of Conductor Material (DC 3-Wire)

V m = \sqrt{\frac{(P^{2}) \cdot (0.3125) \cdot ρ \cdot (L^{2})}{V \cdot P loss}}

Go Maximum Voltage using Area of X-Section(DC 3-Wire)

V m = \sqrt{(P^{2}) \cdot ρ \cdot \frac{L}{A \cdot P loss}}

Other formulas in Current and Voltage category

Go Load Current(DC 3-Wire)

I = \frac{P t}{2 \cdot V m}

Go Load Current using Line Losses(DC 3-Wire)

I = \sqrt{\frac{P loss}{2 \cdot R}}

Go Load Current using Area of X-Section(DC 3-Wire)

I = \sqrt{A \cdot \frac{P loss}{ρ \cdot L}}

How to Evaluate Maximum Power using Constant(DC 3-Wire)?

Maximum Power using Constant(DC 3-Wire) evaluator uses Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses)) to evaluate the Maximum Voltage Overhead DC, The Maximum Power using Constant(DC 3-wire) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit. Maximum Voltage Overhead DC is denoted by V_m symbol.

How to evaluate Maximum Power using Constant(DC 3-Wire) using this online evaluator? To use this online evaluator for Maximum Power using Constant(DC 3-Wire), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Constant Overhead DC (K) & Line Losses (P_loss) and hit the calculate button.

FAQs on Maximum Power using Constant(DC 3-Wire)

What is the formula to find Maximum Power using Constant(DC 3-Wire)?

The formula of Maximum Power using Constant(DC 3-Wire) is expressed as Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses)). Here is an example- 21.1666 = sqrt(((920^2)*1.7E-05*(12.7^2))/(7*0.74)).

How to calculate Maximum Power using Constant(DC 3-Wire)?

With Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Constant Overhead DC (K) & Line Losses (P_loss) we can find Maximum Power using Constant(DC 3-Wire) using the formula - Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Voltage Overhead DC?

Here are the different ways to Calculate Maximum Voltage Overhead DC-

Maximum Voltage Overhead DC=Power Transmitted/(2*Current Overhead DC)
Maximum Voltage Overhead DC=Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
Maximum Voltage Overhead DC=sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses))

Can the Maximum Power using Constant(DC 3-Wire) be negative?

Yes, the Maximum Power using Constant(DC 3-Wire), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Power using Constant(DC 3-Wire)?

Maximum Power using Constant(DC 3-Wire) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Maximum Power using Constant(DC 3-Wire) can be measured.

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Maximum Power using Constant(DC 3-Wire) Formula

​GoMaximum Power using Load Current(DC 3-Wire) Formula

​GoMaximum Voltage using Line Losses(DC 3-Wire) Formula

Maximum Power using Constant(DC 3-Wire) Example

Maximum Power using Constant(DC 3-Wire) Solution

Maximum Power using Constant(DC 3-Wire) Formula Elements

Other Formulas to find Maximum Voltage Overhead DC

Other formulas in Current and Voltage category

How to Evaluate Maximum Power using Constant(DC 3-Wire)?

FAQs on Maximum Power using Constant(DC 3-Wire)

Variable Name

GoMaximum Power using Load Current(DC 3-Wire) Formula

GoMaximum Voltage using Line Losses(DC 3-Wire) Formula