Load Current Per Phase (3-Phase 3-Wire US) Calculator

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+10% -10%
✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage [V_m]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Current underground DC is defined as the current flowing through the overhead ac supply wire.ⓘ Load Current Per Phase (3-Phase 3-Wire US) [C₁]

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Formula

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Load Current Per Phase (3-Phase 3-Wire US)

Formula

`"C"_{"1"} = (sqrt(6)*"P")/(3*"V"_{"m"}*cos("θ"))`

Example

`"4.714045A"=(sqrt(6)*"300W")/(3*"60V"*cos("30°"))`

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Load Current Per Phase (3-Phase 3-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta))
C₁ = (sqrt(6)*P)/(3*V_m*cos(θ))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

Current underground DC - (Measured in Ampere) - Current underground DC is defined as the current flowing through the overhead ac supply wire.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C₁ = (sqrt(6)*P)/(3*V_m*cos(θ)) --> (sqrt(6)*300)/(3*60*cos(0.5235987755982))

Evaluating ... ...

C₁ = 4.71404520791032

STEP 3: Convert Result to Output's Unit

4.71404520791032 Ampere --> No Conversion Required

FINAL ANSWER

4.71404520791032 ≈ 4.714045 Ampere <-- Current underground DC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground DC Supply » 3-Wire System » Current & Voltage » Load Current Per Phase (3-Phase 3-Wire US)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 14 Current & Voltage Calculators

RMS Voltage using Area of X-Section (3-Phase 3-Wire US)

Go Root Mean Square Voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

Maximum Voltage using Area of X-Section (3-Phase 3-Wire US)

Go Maximum Voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)

Go Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2))

Maximum Voltage using Area of X-Section (DC Three-Wire US)

Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)

Go Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))

Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US)

Go Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta))

Load Current Per Phase (3-Phase 3-Wire US)

Go Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta))

Maximum Voltage using Line Losses (DC Three-Wire US)

Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))

RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US)

Go Root Mean Square Voltage = Power Transmitted/(3*Current underground DC*cos(Theta))

Load Current using Line Losses (DC Three-Wire US)

Go Current underground DC = sqrt(Line Losses/(2*Resistance underground DC))

Current using Line Losses (3-Phase 3-Wire US)

Go Current underground DC = sqrt(Line Losses/(3*Resistance underground DC))

RMS Voltage Per Phase (3-Phase 3-Wire US)

Go Root Mean Square Voltage = Maximum Voltage/(sqrt(6))

Maximum Voltage using RMS Voltage Per Phase (3-Phase 3-Wire US)

Go Maximum Voltage = sqrt(6)*Root Mean Square Voltage

Maximum Voltage between Each Phase and Neutral (3-Phase 3-Wire US)

Go Maximum phase voltage = Maximum Voltage/sqrt(3)

Load Current Per Phase (3-Phase 3-Wire US) Formula

Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta))
C₁ = (sqrt(6)*P)/(3*V_m*cos(θ))

Does the neutral wire carry current?

Neutral wire definitely carries current. It is used in AC current for return path or you can say to complete the circuit.

How to Calculate Load Current Per Phase (3-Phase 3-Wire US)?

Load Current Per Phase (3-Phase 3-Wire US) calculator uses Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta)) to calculate the Current underground DC, The Load Current Per Phase (3-phase 3-wire US) formula is defined as the current that flows into the load of the three-phase three-wire underground system. Current underground DC is denoted by C₁ symbol.

How to calculate Load Current Per Phase (3-Phase 3-Wire US) using this online calculator? To use this online calculator for Load Current Per Phase (3-Phase 3-Wire US), enter Power Transmitted (P), Maximum Voltage (V_m) & Theta (θ) and hit the calculate button. Here is how the Load Current Per Phase (3-Phase 3-Wire US) calculation can be explained with given input values -> 4.714045 = (sqrt(6)*300)/(3*60*cos(0.5235987755982)).

FAQ

What is Load Current Per Phase (3-Phase 3-Wire US)?

The Load Current Per Phase (3-phase 3-wire US) formula is defined as the current that flows into the load of the three-phase three-wire underground system and is represented as C₁ = (sqrt(6)*P)/(3*V_m*cos(θ)) or Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta)). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Maximum Voltage the highest voltage rating for electrical devices & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Load Current Per Phase (3-Phase 3-Wire US)?

The Load Current Per Phase (3-phase 3-wire US) formula is defined as the current that flows into the load of the three-phase three-wire underground system is calculated using Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta)). To calculate Load Current Per Phase (3-Phase 3-Wire US), you need Power Transmitted (P), Maximum Voltage (V_m) & Theta (θ). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Current underground DC?

In this formula, Current underground DC uses Power Transmitted, Maximum Voltage & Theta. We can use 2 other way(s) to calculate the same, which is/are as follows -

Current underground DC = sqrt(Line Losses/(2*Resistance underground DC))
Current underground DC = sqrt(Line Losses/(3*Resistance underground DC))

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