Constant using Resistance (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant Underground AC = (4*Power Transmitted*Length of Underground AC Wire*Resistance Underground AC*Area of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2))
K = (4*P*L*R*A)/(Ploss*(Vm^2))
This formula uses 7 Variables
Variables Used
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
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.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
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.
Area of Underground AC Wire - (Measured in Square Meter) - Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Resistance Underground AC: 5 Ohm --> 5 Ohm No Conversion Required
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = (4*P*L*R*A)/(Ploss*(Vm^2)) --> (4*300*24*5*1.28)/(2.67*(230^2))
Evaluating ... ...
K = 1.30498502580659
STEP 3: Convert Result to Output's Unit
1.30498502580659 --> No Conversion Required
FINAL ANSWER
1.30498502580659 1.304985 <-- Constant Underground AC
(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Wire Parameters Calculators

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

Constant using Resistance (1-Phase 2-Wire US) Formula

​LaTeX ​Go
Constant Underground AC = (4*Power Transmitted*Length of Underground AC Wire*Resistance Underground AC*Area of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2))
K = (4*P*L*R*A)/(Ploss*(Vm^2))

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 Constant using Resistance (1-Phase 2-Wire US)?

Constant using Resistance (1-Phase 2-Wire US) calculator uses Constant Underground AC = (4*Power Transmitted*Length of Underground AC Wire*Resistance Underground AC*Area of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)) to calculate the Constant Underground AC, The Constant using Resistance (1-Phase 2-Wire US) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K. Constant Underground AC is denoted by K symbol.

How to calculate Constant using Resistance (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Constant using Resistance (1-Phase 2-Wire US), enter Power Transmitted (P), Length of Underground AC Wire (L), Resistance Underground AC (R), Area of Underground AC Wire (A), Line Losses (Ploss) & Maximum Voltage Underground AC (Vm) and hit the calculate button. Here is how the Constant using Resistance (1-Phase 2-Wire US) calculation can be explained with given input values -> 1.304985 = (4*300*24*5*1.28)/(2.67*(230^2)).

FAQ

What is Constant using Resistance (1-Phase 2-Wire US)?
The Constant using Resistance (1-Phase 2-Wire US) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K and is represented as K = (4*P*L*R*A)/(Ploss*(Vm^2)) or Constant Underground AC = (4*Power Transmitted*Length of Underground AC Wire*Resistance Underground AC*Area of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)). 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, Length of Underground AC Wire is the total length of the wire from one end to other end, Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it, Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Line Losses is defined as the total losses occurring in an Underground AC line when in use & Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
How to calculate Constant using Resistance (1-Phase 2-Wire US)?
The Constant using Resistance (1-Phase 2-Wire US) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K is calculated using Constant Underground AC = (4*Power Transmitted*Length of Underground AC Wire*Resistance Underground AC*Area of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)). To calculate Constant using Resistance (1-Phase 2-Wire US), you need Power Transmitted (P), Length of Underground AC Wire (L), Resistance Underground AC (R), Area of Underground AC Wire (A), Line Losses (Ploss) & Maximum Voltage Underground AC (Vm). With our tool, you need to enter the respective value for Power Transmitted, Length of Underground AC Wire, Resistance Underground AC, Area of Underground AC Wire, Line Losses & Maximum Voltage 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 Constant Underground AC?
In this formula, Constant Underground AC uses Power Transmitted, Length of Underground AC Wire, Resistance Underground AC, Area of Underground AC Wire, Line Losses & Maximum Voltage Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Constant Underground AC = 4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2)
  • Constant Underground AC = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2
  • Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/2
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