Maximum Voltage using Area of X-section (1 Phase 3 Wire US) Calculator

✖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%
✖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%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+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%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+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%

✖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 3 Wire US) [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Maximum Voltage using Area of X-section (1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
V_m = (2*P/cos(Φ))*sqrt(ρ*L/(P_loss*A))
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.
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.
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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter 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
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

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 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground AC Supply » 1 Φ 3 Wire System » Current and Voltage » Maximum Voltage using Area of X-section (1 Phase 3 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 Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Current and Voltage Calculators

Maximum Voltage using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Maximum Voltage Underground AC = sqrt(10*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))

RMS Voltage using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Root Mean Square Voltage = sqrt(5*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((cos(Phase Difference))^2)))

Maximum Voltage using Load Current (1 Phase 3 Wire US)

LaTeX Go Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)

RMS Voltage using Load Current (1 Phase 3 Wire US)

LaTeX Go Root Mean Square Voltage = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)

Maximum Voltage using Area of X-section (1 Phase 3 Wire US) Formula

LaTeX Go

What is the rms value of voltage?

The value of an AC voltage is continually changing from zero up to the positive peak, through zero to the negative peak, and back to zero again. The RMS value is the effective value of a varying voltage or current. It is the equivalent steady DC (constant) value that gives the same effect.

How to Calculate Maximum Voltage using Area of X-section (1 Phase 3 Wire US)?

Maximum Voltage using Area of X-section (1 Phase 3 Wire US) calculator uses Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)) to calculate the Maximum Voltage Underground AC, The Maximum Voltage using Area of X-section (1 phase 3 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 3 Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Area of X-section (1 Phase 3 Wire US), enter Power Transmitted (P), Phase Difference (Φ), Resistivity (ρ), Length of Underground AC Wire (L), Line Losses (P_loss) & Area of Underground AC Wire (A) and hit the calculate button. Here is how the Maximum Voltage using Area of X-section (1 Phase 3 Wire US) calculation can be explained with given input values -> 7.569899 = (2*300/cos(0.5235987755982))*sqrt(1.7E-05*24/(2.67*1.28)).

FAQ

What is Maximum Voltage using Area of X-section (1 Phase 3 Wire US)?

The Maximum Voltage using Area of X-section (1 phase 3 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 = (2*P/cos(Φ))*sqrt(ρ*L/(P_loss*A)) or Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)). 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, 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, Resistivity is the measure of how strongly a material opposes the flow of current through them, 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 & Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

How to calculate Maximum Voltage using Area of X-section (1 Phase 3 Wire US)?

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

Maximum Voltage Underground AC = sqrt(10*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/(cos(Phase Difference)*Current Underground AC)
Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistance Underground AC/Line Losses)

Home

FREE PDFs

🔍 Search