Maximum Voltage using Area of X-Section (1-Phase 2-Wire US) Calculator

✖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%
✖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%
✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Underground AC Wire [A]			+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%
✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]			+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 Area of X-Section (1-Phase 2-Wire US) [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Maximum Voltage using Area of X-Section (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_m = sqrt((4*L*ρ*(P^2))/(A*P_loss*(cos(Φ))^2))
This formula uses 2 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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.
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.
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.
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.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

STEP 1: Convert Input(s) to Base Unit

Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt 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
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = sqrt((4*L*ρ*(P^2))/(A*P_loss*(cos(Φ))^2)) --> sqrt((4*24*1.7E-05*(300^2))/(1.28*2.67*(cos(0.5235987755982))^2))

Evaluating ... ...

V_m = 7.56989899447257

STEP 3: Convert Result to Output's Unit

7.56989899447257 Volt --> No Conversion Required

FINAL ANSWER

7.56989899447257 ≈ 7.569899 Volt <-- Maximum Voltage Underground AC

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground AC Supply » 1 Φ 2 Wire System » Current and Voltage » Maximum Voltage using Area of X-Section (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 Area of X-Section (1-Phase 2-Wire US) Formula

LaTeX Go

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 Area of X-Section (1-Phase 2-Wire US)?

Maximum Voltage using Area of X-Section (1-Phase 2-Wire US) calculator uses 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)) to calculate the Maximum Voltage Underground AC, The Maximum Voltage using Area of X-Section (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 Area of X-Section (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Area of X-Section (1-Phase 2-Wire US), enter Length of Underground AC Wire (L), Resistivity (ρ), Power Transmitted (P), Area of Underground AC Wire (A), Line Losses (P_loss) & Phase Difference (Φ) and hit the calculate button. Here is how the Maximum Voltage using Area of X-Section (1-Phase 2-Wire US) calculation can be explained with given input values -> 7.569899 = sqrt((4*24*1.7E-05*(300^2))/(1.28*2.67*(cos(0.5235987755982))^2)).

FAQ

What is Maximum Voltage using Area of X-Section (1-Phase 2-Wire US)?

The Maximum Voltage using Area of X-Section (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*L*ρ*(P^2))/(A*P_loss*(cos(Φ))^2)) or 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)). Length of Underground AC Wire is the total length of the wire from one end to other end, 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, 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 & Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

How to calculate Maximum Voltage using Area of X-Section (1-Phase 2-Wire US)?

The Maximum Voltage using Area of X-Section (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*Length of Underground AC Wire*Resistivity*(Power Transmitted^2))/(Area of Underground AC Wire*Line Losses*(cos(Phase Difference))^2)). To calculate Maximum Voltage using Area of X-Section (1-Phase 2-Wire US), you need Length of Underground AC Wire (L), Resistivity (ρ), Power Transmitted (P), Area of Underground AC Wire (A), Line Losses (P_loss) & Phase Difference (Φ). With our tool, you need to enter the respective value for Length of Underground AC Wire, Resistivity, Power Transmitted, Area of Underground AC Wire, Line Losses & Phase Difference 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 Length of Underground AC Wire, Resistivity, Power Transmitted, Area of Underground AC Wire, Line Losses & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)))
Maximum Voltage Underground AC = 2*Power Transmitted*sqrt(Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses))/cos(Phase Difference)

Home

FREE PDFs

🔍 Search