Maximum Voltage using Constant (1-Phase 2-Wire US) Calculator

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖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.ⓘ Power Transmitted [P]			+10% -10%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%
✖Constant Underground AC is defined as the constant of line of a Overhead supply system.ⓘ Constant Underground AC [K]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%

✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Constant (1-Phase 2-Wire US) [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Maximum Voltage using Constant (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Underground AC = sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Constant Underground AC*Line Losses))
V_m = sqrt(4*ρ*(P*L)^2/(K*P_loss))
This formula uses 1 Functions, 6 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

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.
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.
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.

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
Constant Underground AC: 0.87 --> No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = sqrt(4*ρ*(P*L)^2/(K*P_loss)) --> sqrt(4*1.7E-05*(300*24)^2/(0.87*2.67))

Evaluating ... ...

V_m = 38.9557612772643

STEP 3: Convert Result to Output's Unit

38.9557612772643 Volt --> No Conversion Required

FINAL ANSWER

38.9557612772643 ≈ 38.95576 Volt <-- Maximum Voltage Underground AC

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground AC Supply » 1 Φ 2 Wire System » Current and Voltage » Maximum Voltage using Constant (1-Phase 2-Wire US)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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)

Maximum Voltage using Constant (1-Phase 2-Wire US) Formula

LaTeX Go

Maximum Voltage Underground AC = sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Constant Underground AC*Line Losses))
V_m = sqrt(4*ρ*(P*L)^2/(K*P_loss))

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 v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate Maximum Voltage using Constant (1-Phase 2-Wire US)?

Maximum Voltage using Constant (1-Phase 2-Wire US) calculator uses Maximum Voltage Underground AC = sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Constant Underground AC*Line Losses)) to calculate the Maximum Voltage Underground AC, The Maximum Voltage using Constant (1-Phase 2-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Underground AC is denoted by V_m symbol.

How to calculate Maximum Voltage using Constant (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Constant (1-Phase 2-Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Constant Underground AC (K) & Line Losses (P_loss) and hit the calculate button. Here is how the Maximum Voltage using Constant (1-Phase 2-Wire US) calculation can be explained with given input values -> 38.95576 = sqrt(4*1.7E-05*(300*24)^2/(0.87*2.67)).

FAQ

What is Maximum Voltage using Constant (1-Phase 2-Wire US)?

The Maximum Voltage using Constant (1-Phase 2-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = sqrt(4*ρ*(P*L)^2/(K*P_loss)) or Maximum Voltage Underground AC = sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Constant Underground AC*Line Losses)). 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, Constant Underground AC is defined as the constant of line of a Overhead supply system & Line Losses is defined as the total losses occurring in an Underground AC line when in use.

How to calculate Maximum Voltage using Constant (1-Phase 2-Wire US)?

The Maximum Voltage using Constant (1-Phase 2-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage Underground AC = sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Constant Underground AC*Line Losses)). To calculate Maximum Voltage using Constant (1-Phase 2-Wire US), you need Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Constant Underground AC (K) & Line Losses (P_loss). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length of Underground AC Wire, Constant Underground AC & Line Losses 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 Maximum Voltage Underground AC?

In this formula, Maximum Voltage Underground AC uses Resistivity, Power Transmitted, Length of Underground AC Wire, Constant Underground AC & Line Losses. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 Underground AC = sqrt(8*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))
Maximum Voltage Underground AC = (sqrt(2))*Power Transmitted/(Current Underground AC*(cos(Phase Difference)))

Home

FREE PDFs

🔍 Search