Constant (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant Underground AC = 4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2)
K = 4*ρ*(P*L)^2/(Ploss*(Vm)^2)
This formula uses 6 Variables
Variables Used
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
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.
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
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 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*ρ*(P*L)^2/(Ploss*(Vm)^2) --> 4*1.7E-05*(300*24)^2/(2.67*(230)^2)
Evaluating ... ...
K = 0.024957838618551
STEP 3: Convert Result to Output's Unit
0.024957838618551 --> No Conversion Required
FINAL ANSWER
0.024957838618551 0.024958 <-- Constant Underground AC
(Calculation completed in 00.004 seconds)

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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 (1-Phase 2-Wire US) Formula

​LaTeX ​Go
Constant Underground AC = 4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2)
K = 4*ρ*(P*L)^2/(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 (1-Phase 2-Wire US)?

Constant (1-Phase 2-Wire US) calculator uses Constant Underground AC = 4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2) to calculate the Constant Underground AC, The Constant (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 (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Constant (1-Phase 2-Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (Ploss) & Maximum Voltage Underground AC (Vm) and hit the calculate button. Here is how the Constant (1-Phase 2-Wire US) calculation can be explained with given input values -> 0.024958 = 4*1.7E-05*(300*24)^2/(2.67*(230)^2).

FAQ

What is Constant (1-Phase 2-Wire US)?
The Constant (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*ρ*(P*L)^2/(Ploss*(Vm)^2) or Constant Underground AC = 4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2). Resistivity is the measure of how strongly a material opposes the flow of current through them, 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, 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 (1-Phase 2-Wire US)?
The Constant (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*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2). To calculate Constant (1-Phase 2-Wire US), you need Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (Ploss) & Maximum Voltage Underground AC (Vm). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length 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 Resistivity, Power Transmitted, Length 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 = 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
  • Constant Underground AC = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses
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