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*Vm*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*Vm*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)

Credits

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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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Current and Voltage Calculators

Maximum Voltage using Area of X-Section (DC Three-Wire US)
​ LaTeX ​ 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)
​ LaTeX ​ Go Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))
Maximum Voltage using Line Losses (DC Three-Wire US)
​ LaTeX ​ Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))
Load Current using Line Losses (DC Three-Wire US)
​ LaTeX ​ Go Current underground DC = sqrt(Line Losses/(2*Resistance underground DC))

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

​LaTeX ​Go
Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta))
C1 = (sqrt(6)*P)/(3*Vm*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 (Vm) & 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*Vm*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 (Vm) & 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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