RMS Voltage using Resistance (1-Phase 2-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%
✖Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance Underground AC [R]			+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.ⓘ RMS Voltage using Resistance (1-Phase 2-Wire US) [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

RMS Voltage using Resistance (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Underground AC = 2*Power Transmitted*sqrt(2*Resistance Underground AC/Line Losses)/cos(Phase Difference)
V_m = 2*P*sqrt(2*R/P_loss)/cos(Φ)
This formula uses 2 Functions, 5 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.
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.
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

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Resistance Underground AC: 5 Ohm --> 5 Ohm 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 = 2*P*sqrt(2*R/P_loss)/cos(Φ) --> 2*300*sqrt(2*5/2.67)/cos(0.5235987755982)

Evaluating ... ...

V_m = 1340.80304630798

STEP 3: Convert Result to Output's Unit

1340.80304630798 Volt --> No Conversion Required

FINAL ANSWER

1340.80304630798 ≈ 1340.803 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 » RMS Voltage using Resistance (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)

RMS Voltage using Resistance (1-Phase 2-Wire US) Formula

LaTeX Go

Maximum Voltage Underground AC = 2*Power Transmitted*sqrt(2*Resistance Underground AC/Line Losses)/cos(Phase Difference)
V_m = 2*P*sqrt(2*R/P_loss)/cos(Φ)

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 RMS Voltage using Resistance (1-Phase 2-Wire US)?

RMS Voltage using Resistance (1-Phase 2-Wire US) calculator uses Maximum Voltage Underground AC = 2*Power Transmitted*sqrt(2*Resistance Underground AC/Line Losses)/cos(Phase Difference) to calculate the Maximum Voltage Underground AC, The RMS Voltage using Resistance (1-Phase 2-Wire US) formula is defined as the square root of the time average of the voltage squared. Maximum Voltage Underground AC is denoted by V_m symbol.

How to calculate RMS Voltage using Resistance (1-Phase 2-Wire US) using this online calculator? To use this online calculator for RMS Voltage using Resistance (1-Phase 2-Wire US), enter Power Transmitted (P), Resistance Underground AC (R), Line Losses (P_loss) & Phase Difference (Φ) and hit the calculate button. Here is how the RMS Voltage using Resistance (1-Phase 2-Wire US) calculation can be explained with given input values -> 1340.803 = 2*300*sqrt(2*5/2.67)/cos(0.5235987755982).

FAQ

What is RMS Voltage using Resistance (1-Phase 2-Wire US)?

The RMS Voltage using Resistance (1-Phase 2-Wire US) formula is defined as the square root of the time average of the voltage squared and is represented as V_m = 2*P*sqrt(2*R/P_loss)/cos(Φ) or Maximum Voltage Underground AC = 2*Power Transmitted*sqrt(2*Resistance Underground AC/Line Losses)/cos(Phase Difference). 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, Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it, 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 RMS Voltage using Resistance (1-Phase 2-Wire US)?

The RMS Voltage using Resistance (1-Phase 2-Wire US) formula is defined as the square root of the time average of the voltage squared is calculated using Maximum Voltage Underground AC = 2*Power Transmitted*sqrt(2*Resistance Underground AC/Line Losses)/cos(Phase Difference). To calculate RMS Voltage using Resistance (1-Phase 2-Wire US), you need Power Transmitted (P), Resistance Underground AC (R), Line Losses (P_loss) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Resistance Underground AC, 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 Power Transmitted, Resistance Underground AC, 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((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