Load Current using Resistance (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Underground AC = sqrt(Line Losses/(2*Resistance Underground AC))
I = sqrt(Ploss/(2*R))
This formula uses 1 Functions, 3 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 Underground AC - (Measured in Ampere) - Current Underground 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 Underground AC line when in use.
Resistance Underground AC - (Measured in Ohm) - Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.
STEP 1: Convert Input(s) to Base Unit
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Resistance Underground AC: 5 Ohm --> 5 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = sqrt(Ploss/(2*R)) --> sqrt(2.67/(2*5))
Evaluating ... ...
I = 0.516720427310553
STEP 3: Convert Result to Output's Unit
0.516720427310553 Ampere --> No Conversion Required
FINAL ANSWER
0.516720427310553 0.51672 Ampere <-- Current Underground AC
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Current and Voltage Calculators

Maximum Voltage using Area of X-Section (1-Phase 2-Wire US)
​ LaTeX ​ Go Maximum Voltage Underground AC = sqrt((4*Length of Underground AC Wire*Resistivity*(Power Transmitted^2))/(Area of Underground AC Wire*Line Losses*(cos(Phase Difference))^2))
Maximum Voltage using Volume of Conductor Material (1-Phase 2-Wire US)
​ LaTeX ​ Go Maximum Voltage Underground AC = sqrt(8*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))
Load Current (1-Phase 2-Wire US)
​ LaTeX ​ Go Current Underground AC = Power Transmitted*sqrt(2)/(Maximum Voltage Underground AC*cos(Phase Difference))
RMS Voltage(1-Phase 2-Wire US)
​ LaTeX ​ Go Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2)

Load Current using Resistance (1-Phase 2-Wire US) Formula

​LaTeX ​Go
Current Underground AC = sqrt(Line Losses/(2*Resistance Underground AC))
I = sqrt(Ploss/(2*R))

What is the value of maximum voltage and volume of conductor material in 1-phase 2-wire system?

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

How to Calculate Load Current using Resistance (1-Phase 2-Wire US)?

Load Current using Resistance (1-Phase 2-Wire US) calculator uses Current Underground AC = sqrt(Line Losses/(2*Resistance Underground AC)) to calculate the Current Underground AC, The Load Current using Resistance (1-Phase 2-Wire US) formula is defined as the current that flows into the load of the one-phase two-wire underground system. Current Underground AC is denoted by I symbol.

How to calculate Load Current using Resistance (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Load Current using Resistance (1-Phase 2-Wire US), enter Line Losses (Ploss) & Resistance Underground AC (R) and hit the calculate button. Here is how the Load Current using Resistance (1-Phase 2-Wire US) calculation can be explained with given input values -> 0.51672 = sqrt(2.67/(2*5)).

FAQ

What is Load Current using Resistance (1-Phase 2-Wire US)?
The Load Current using Resistance (1-Phase 2-Wire US) 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/(2*R)) or Current Underground AC = sqrt(Line Losses/(2*Resistance Underground AC)). Line Losses is defined as the total losses occurring in an Underground AC line when in use & Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.
How to calculate Load Current using Resistance (1-Phase 2-Wire US)?
The Load Current using Resistance (1-Phase 2-Wire US) formula is defined as the current that flows into the load of the one-phase two-wire underground system is calculated using Current Underground AC = sqrt(Line Losses/(2*Resistance Underground AC)). To calculate Load Current using Resistance (1-Phase 2-Wire US), you need Line Losses (Ploss) & Resistance Underground AC (R). With our tool, you need to enter the respective value for Line Losses & Resistance Underground AC 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 AC?
In this formula, Current Underground AC uses Line Losses & Resistance Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Current Underground AC = Power Transmitted*sqrt(2)/(Maximum Voltage Underground AC*cos(Phase Difference))
  • Current Underground AC = sqrt(Line Losses*Area of Underground AC Wire/(2*Resistivity*Length of Underground AC Wire))
  • Current Underground AC = sqrt(Constant Underground AC*Line Losses/(2*Resistivity*(Length of Underground AC Wire*cos(Phase Difference))^2))
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