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Transmitted Power using Load Current(3-Phase 3-Wire OS) Formula

GoPower Transmitted(3-Phase 3-Wire OS) Formula

GoPower Transmitted using Area of X-Section(3-Phase 3-Wire OS) Formula

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

P = I \cdot V m \cdot \frac{\cos (Φ)}{\sqrt{2}}

P - Power Transmitted?I - Current Overhead AC?V_m - Maximum Voltage Overhead AC?Φ - Phase Difference?

Transmitted Power using Load Current(3-Phase 3-Wire OS) Example

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Here is how the Transmitted Power using Load Current(3-Phase 3-Wire OS) equation looks like with Values.

Here is how the Transmitted Power using Load Current(3-Phase 3-Wire OS) equation looks like with Units.

Here is how the Transmitted Power using Load Current(3-Phase 3-Wire OS) equation looks like.

261.9729 = 6.9 \cdot 62 \cdot \frac{\cos (30)}{\sqrt{2}}

261.9729W = 6.9A \cdot 62V \cdot \frac{\cos (30°)}{\sqrt{2}}

261.9729 = 6.9 \cdot 62 \cdot \frac{\cos (30)}{\sqrt{2}}

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Transmitted Power using Load Current(3-Phase 3-Wire OS) Solution

Follow our step by step solution on how to calculate Transmitted Power using Load Current(3-Phase 3-Wire OS)?

FIRST Step Consider the formula

P = I \cdot V m \cdot \frac{\cos (Φ)}{\sqrt{2}}

Next Step Substitute values of Variables

∴

P = 6.9A \cdot 62V \cdot \frac{\cos (30°)}{\sqrt{2}}

Next Step Convert Units

∴

P = 6.9A \cdot 62V \cdot \frac{\cos (0.5236rad)}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

P = 6.9 \cdot 62 \cdot \frac{\cos (0.5236)}{\sqrt{2}}

Next Step Evaluate

∴

P = 261.972927990661W

LAST Step Rounding Answer

∴

P = 261.9729W

Transmitted Power using Load Current(3-Phase 3-Wire OS) Formula Elements

Variables

Functions

Power Transmitted

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

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Current Overhead AC

Current Overhead AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Overhead AC

Maximum Voltage Overhead AC

Maximum Voltage Overhead AC 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 AC

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

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 Power Transmitted

Go Power Transmitted(3-Phase 3-Wire OS)

P = (\frac{1}{3}) \cdot P t

Go Power Transmitted using Area of X-Section(3-Phase 3-Wire OS)

P = \sqrt{\frac{3 \cdot A \cdot ({V m}^{2}) \cdot P loss \cdot ({(\cos (Φ))}^{2})}{ρ \cdot 2 \cdot L}}

Other formulas in Power and Power Factor category

Go Power Factor using Load Current(3-Phase 3-Wire OS)

PF = \sqrt{2} \cdot \frac{P}{3 \cdot I \cdot V m}

Go Angle of PF using Area of X-Section(3-Phase 3-Wire OS)

Φ = a \cos (\sqrt{2 \cdot ρ \cdot \frac{P^{2} \cdot L^{2}}{3 \cdot A \cdot P loss \cdot ({V m}^{2})}})

Go Power Factor using Area of X-Section(3-Phase 3-Wire OS)

PF = \sqrt{2 \cdot ρ \cdot \frac{P^{2} \cdot L^{2}}{3 \cdot A \cdot P loss \cdot ({V m}^{2})}}

Go Angle of PF using Load Current(3-Phase 3-Wire OS)

Φ = a \cos (\sqrt{2} \cdot \frac{P}{3 \cdot V m \cdot I})

How to Evaluate Transmitted Power using Load Current(3-Phase 3-Wire OS)?

Transmitted Power using Load Current(3-Phase 3-Wire OS) evaluator uses Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2)) to evaluate the Power Transmitted, The Transmitted Power using Load Current(3-phase 3-wire OS) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations. Power Transmitted is denoted by P symbol.

How to evaluate Transmitted Power using Load Current(3-Phase 3-Wire OS) using this online evaluator? To use this online evaluator for Transmitted Power using Load Current(3-Phase 3-Wire OS), enter Current Overhead AC (I), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Transmitted Power using Load Current(3-Phase 3-Wire OS)

What is the formula to find Transmitted Power using Load Current(3-Phase 3-Wire OS)?

The formula of Transmitted Power using Load Current(3-Phase 3-Wire OS) is expressed as Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2)). Here is an example- 261.9729 = 6.9*62*(cos(0.5235987755982))/(sqrt(2)).

How to calculate Transmitted Power using Load Current(3-Phase 3-Wire OS)?

With Current Overhead AC (I), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) we can find Transmitted Power using Load Current(3-Phase 3-Wire OS) using the formula - Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Power Transmitted?

Here are the different ways to Calculate Power Transmitted-

Power Transmitted=(1/3)*Power Transmitted per Phase
Power Transmitted=sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))

Can the Transmitted Power using Load Current(3-Phase 3-Wire OS) be negative?

No, the Transmitted Power using Load Current(3-Phase 3-Wire OS), measured in Power cannot be negative.

Which unit is used to measure Transmitted Power using Load Current(3-Phase 3-Wire OS)?

Transmitted Power using Load Current(3-Phase 3-Wire OS) is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Transmitted Power using Load Current(3-Phase 3-Wire OS) can be measured.

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