Load Current using Line Losses (2-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(4*Resistivity*Length of Overhead AC Wire))
I = sqrt(Ploss*A/(4*ρ*L))
This formula uses 1 Functions, 5 Variables
Functions Used
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 Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.
STEP 1: Convert Input(s) to Base Unit
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = sqrt(Ploss*A/(4*ρ*L)) --> sqrt(8.23*0.79/(4*1.7E-05*10.63))
Evaluating ... ...
I = 94.8401811070073
STEP 3: Convert Result to Output's Unit
94.8401811070073 Ampere --> No Conversion Required
FINAL ANSWER
94.8401811070073 94.84018 Ampere <-- Current Overhead AC
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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10+ Current & Voltage Calculators

Maximum Voltage using Area of X-Section(2-Phase 4-Wire OS)
Go Maximum Voltage Overhead AC = sqrt((Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(2*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
RMS Voltage using Area of X-Section(2-Phase 4-Wire OS)
Go Root Mean Square Voltage = sqrt((Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
Maximum Voltage using Line Losses (2-Phase 4-Wire OS)
Go Maximum Voltage Overhead AC = Power Transmitted*sqrt(Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses*2))/cos(Phase Difference)
RMS Voltage using Line Losses (2-Phase 4-Wire OS)
Go Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses))
Load Current using Area of X-Section(2-Phase 4-Wire OS)
Go Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/((32)*Resistivity*Length of Overhead AC Wire))
Load Current using Line Losses (2-Phase 4-Wire OS)
Go Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(4*Resistivity*Length of Overhead AC Wire))
Maximum Voltage using Load Current (2-Phase 4-Wire OS)
Go Maximum Voltage Overhead AC = Power Transmitted/(2*(sqrt(2))*Current Overhead AC*(cos(Phase Difference)))
Load Current(2-Phase 4-Wire OS)
Go Current Overhead AC = Power Transmitted/(2*sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
RMS Voltage using Load Current (2-Phase 4-Wire OS)
Go Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Overhead AC)
Maximum Voltage(2-Phase 4-Wire OS)
Go Maximum Voltage Overhead AC = (2)*Voltage Overhead AC

Load Current using Line Losses (2-Phase 4-Wire OS) Formula

Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(4*Resistivity*Length of Overhead AC Wire))
I = sqrt(Ploss*A/(4*ρ*L))

What is the value of maximum voltage and volume of conductor material in 2-phase 4-wire system?

The volume of conductor material required in this system is 1/2cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

How to Calculate Load Current using Line Losses (2-Phase 4-Wire OS)?

Load Current using Line Losses (2-Phase 4-Wire OS) calculator uses Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(4*Resistivity*Length of Overhead AC Wire)) to calculate the Current Overhead AC, The Load Current using Line Losses (2-Phase 4-Wire OS) formula is defined as the current that flows into the load of the one-phase two-wire underground system. Current Overhead AC is denoted by I symbol.

How to calculate Load Current using Line Losses (2-Phase 4-Wire OS) using this online calculator? To use this online calculator for Load Current using Line Losses (2-Phase 4-Wire OS), enter Line Losses (Ploss), Area of Overhead AC Wire (A), Resistivity (ρ) & Length of Overhead AC Wire (L) and hit the calculate button. Here is how the Load Current using Line Losses (2-Phase 4-Wire OS) calculation can be explained with given input values -> 94.84018 = sqrt(8.23*0.79/(4*1.7E-05*10.63)).

FAQ

What is Load Current using Line Losses (2-Phase 4-Wire OS)?
The Load Current using Line Losses (2-Phase 4-Wire OS) formula is defined as the current that flows into the load of the one-phase two-wire underground system and is represented as I = sqrt(Ploss*A/(4*ρ*L)) or Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(4*Resistivity*Length of Overhead AC Wire)). Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Resistivity is the measure of how strongly a material opposes the flow of current through them & Length of Overhead AC Wire is the total length of the wire from one end to other end.
How to calculate Load Current using Line Losses (2-Phase 4-Wire OS)?
The Load Current using Line Losses (2-Phase 4-Wire OS) formula is defined as the current that flows into the load of the one-phase two-wire underground system is calculated using Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(4*Resistivity*Length of Overhead AC Wire)). To calculate Load Current using Line Losses (2-Phase 4-Wire OS), you need Line Losses (Ploss), Area of Overhead AC Wire (A), Resistivity (ρ) & Length of Overhead AC Wire (L). With our tool, you need to enter the respective value for Line Losses, Area of Overhead AC Wire, Resistivity & Length of Overhead AC Wire 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 Overhead AC?
In this formula, Current Overhead AC uses Line Losses, Area of Overhead AC Wire, Resistivity & Length of Overhead AC Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Current Overhead AC = Power Transmitted/(2*sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
  • Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/((32)*Resistivity*Length of Overhead AC Wire))
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